Arithmetic operations on the directed numbers gives;
7) -7
8) +73
9) - 8
10) + 1
What are directed numbers?Any given number which has either a positive or negative sign is a directed number. Thus all numbers are directed in one way or the other. Some examples are: 8, +2, - 8.35, 10, 520 etc.
Performing an arithmetic operations on the given question, we have;
7) +9 - + 16 = +9 -(+16)
applying the rule of signs
+9 - (+16) = + 9 - 16
= -7
8) +85 - + 12 = +85 - (+12)
applying the rule of signs
+85 - (+12) = +85 - 12
= +73
9) -6 - 2
applying the rule of signs
-6 -2 = -8
10) +13 - + 12 = +13 - (+12)
applying the rule of signs
+13 - (+12) = +13 - 12
= +1
Learn more about directed numbers at https://brainly.com/question/29257646
#SPJ1
Figure out the polynomial being multiplied on top and then fill in the missing boxes
Based on given polynomial, The complete equation is = x² - 6x - 3.
What is Exponent Law in Polynomial Multiplication?A polynomial can be multiplied in just three steps.
The first step is to multiply each term in one polynomial by each term in the other polynomial using the distributive law.
Use the exponent rule to sum powers of related variables.
Then, to simplify the resulting polynomial, add or eliminate like elements.
The fact that multiplying two polynomials always yields a degree higher than the degree of the original polynomials should not be overlooked.
If a variable has the same exponent but various exponents for the provided polynomials, we must use the exponent law.
Given,
a______________
x² (b) __ -6x³ (c)__
9x 9x³ (d)___ -27x
We know that (a) is some polynomial in the form Ax² + Bx + c
Based on the above table,
It is clear that
on multiplying x² × 1 term = (b)
x² × 2 term = -6x³
⇒ 2 term = -6x³ / x² = -6x (1)
x² × 3 term = (c)
Now,
9x × 1 term = 9x³
⇒ 1 term = x² (2)
9x × -6x = (d)
⇒ d = -54x² (3)
9x × 3 term = -27x
3 term = -3 (4)
From (1), (2) and (4),
The complete equation is = x² - 6x - 3
Value of (b) = x² × 1 term = (b)= x² × x² = x⁴
Value of (c) = x² × 3 term = (c) = x² ₓ -3 = -3x²
Value of (d) = -54x² [From (3)]
So the complete table is -
(a) x² - 6x - 3
x² (b) -6x -6x³ (c) -3
9x 9x³ (d) -54x² -27x
To Learn more About polynomial refer To:
brainly.com/question/2833285
#SPJ1
graphically solve x+y=3 and 3x-y=1
Please help with writing linear functions
The function would be [tex]f(x)=\frac{1}{2}x + 1 \ and\ f(x)=\frac{1}{2}x - \frac{1}{2}[/tex]
What is linear function?
A linear function is one with one or two variables that does not have exponents. It is a function that has a straight line graph.
A linear function has the form f(x) = mx + b, where m is the slope and b is the y-intercept. To find the equation of the linear function given the values of x and f(x), we can use two points and use the slope-intercept form of the equation.
A way to find the equation of the linear function is to use the point-slope form: f(x) = m(x-x1) + f(x1), where (x1,f(x1)) is a point on the line.
If we use the points (-4,-2) and (0,0) we can find the slope:
m = (0 - (-2)) / (0 - (-4)) = 2/4 = 1/2
then using point-slope form:
f(x) = 1/2(x - (-4)) + (-2)
f(x) = 1/2x + 1
so the equation of the linear function is f(x) = 1/2x + 1
Alternatively, we can use the two points (-2,-1) and (0,0) we can find the slope:
m = (0 - (-1)) / (0 - (-2)) = 1/2
then using point-slope form:
f(x) = 1/2(x - (-2)) + (-1)
f(x) = 1/2x - 1/2
so the equation of the linear function is f(x) = 1/2x - 1/2.
Therefore, equation f(x) = 1/2x+1 and f(x) = 1/2x - 1/2 represents the given values of x and f(x)
To know more about linear functions visit,
https://brainly.com/question/2248255
#SPJ1
Henry pays $540.00 for one dozen collector’s edition baseball cards?
The cost of the one baseball card will be $45
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the cost of one dozen baseball cards is $540. The cost of one baseball card will be calculated by dividing the total cost by 12.
Cost = 540 / 12
Cost = $45
Hence, the cost of one card will be $45.
To know more about an expression follow
https://brainly.com/question/5994271
#SPJ1
find all values of in the interval [) that have the given function value. group of answer choices 154, 268 degrees 146, 238 degrees 115, 195 degrees 135, 225 degrees
By applying Trigonometry functions it can be concluded that cos θ = -√2/2 will be met if θ = 135° or 225° (option D)
Trigonometry is a branch of mathematics that studies the relationship between side lengths and angles of triangles.
Trigonometry functions can be defined by means of a right triangle, where ABC is a right triangle, a and b are the sides of the triangle and c is the hypotenuse of the triangle.
sin A = opposite side (a) / hypotenuse (c)
cos B = adjacent side (b) / hypotenuse (c)
tan C = opposite side (a) / adjacent side (b)
There are some special angles whose sin, cos, and tan values are frequently used:
0° 30° 45° 60° 90°
sin 0 1/2 √2/2 √3/2 1
cos 1 √3/2 √2/2 1/2 0
tan 0 √3/3 1 √3 ~
These values change over the interval:
sin: positive in the interval [0°,180°] and negative in the interval [180°,360°]cos: positive in the interval [0°, 90°] and [270°,360°], and negative in the interval [90°,270°]tan: positive in the interval [0°, 90°) and [180°,270°), and negative in the interval (90°,180°] and (270°,360°]We have to find all values in the interval [0,360°) that have the given function value cos θ = -√2/2.
cos θ = √2/2
θ = 45°
Since cos will have a negative value in the interval [90°,270°], then we get the value of θ is 135° and 225°.
To learn more about trigonometry, click here: https://brainly.com/question/17332981
#SPJ4
Jada invested $200 in an account that earns compound interest annually.
Which equations could be used to model the amount of money that Jada would have in the account after x years?
Part A
Select the two that apply.
a: y=200-(1-0.03)
b: y=200-(1+0. 03)²
c: y = 0.03-200³
d: y=200-1.03²
e: y = (1 + 0.03) - 200³
D
Part B
(1 point)
Use your equation from Part A to determine how much money Jada would have in her account after 36 months?
Enter your answer and your work or explanation in the space provided.
The equation used to model the amount of money that Jada would have in the account after x years is [tex]y= 200(1 + {0.03})^{x}[/tex].
Jada would have in her account $218 after 36 months. The solution has been obtained by using the concept of compound interest.
What is compound interest?
When interest is calculated, it is done so using both the principal and the interest that has accumulated over the preceding period. Unlike simple interest, which does not take the principal into account when computing the interest for the following month, compound interest takes the principal into account. Compound interest is commonly represented by the letter C.I. in mathematics.
We know that formula for compound interest is
[tex]A= P(1 + \frac{r}{n} )^{nt}[/tex]
So, here A= y, P = $200 , n=1 and t=x and r = 0.03
Thus, we get
[tex]y= 200(1 + \frac{0.03}{1} )^{x}[/tex]
[tex]y= 200(1 + {0.03})^{x}[/tex]
So, the second equation is the correct one.
The amount of money Jada would have after 36 months means the amount after 3 years.
So, x=3
Putting this in the equation, we get
[tex]y= 200(1 + {0.03})^{3}[/tex]
y = 200 (1.09)
y = $218
Hence, the equation used to model the amount of money that Jada would have in the account after x years is [tex]y= 200(1 + {0.03})^{x}[/tex] and Jada would have in her account $218 after 36 months.
Learn more about compound interest from the given link
https://brainly.com/question/24274034
#SPJ1
a marketing agency selected a random sample of television viewers to test the claim that the proportion of viewers who watch a particular show is less than 0.20 at a level of significance of 0.05. the test yielded a p -value of 0.47. assuming all conditions for inference were met, which of the following is the correct conclusion?
Correct conclusion , Proportion of viewers is not less than 0.20.
What is proportion ?
A proportion is a way to express the relationship between two or more quantities or values. It is a statement that asserts that two ratios or fractions are equal, such as "2/5 is equal to 4/10". Proportions can be written in different ways, such as "2 to 5 is equal to 4 to 10", or "2:5 = 4:10".
the proportion of viewers who watch the particular show is less than 0.20. The p-value of 0.47 is greater than the level of significance of 0.05, meaning that the results of the test are not statistically significant and do not provide enough evidence to reject the null hypothesis that the proportion of viewers who watch the particular show is greater than or equal to 0.20. Therefore, the marketing agency cannot conclude that the proportion of viewers who watch the particular show is less than 0.20.
Correct conclusion , Proportion of viewers is not less than 0.20.
To learn more about proportion visit : brainly.com/question/2548537
#SPJ4
Select the correct answer from each drop-down menu. Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y. The figures and have the same volume. Reset Next
The figures cone Z and cylinder Y have the same volume.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic metre (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.
Given, Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
The formula for volume of the cone Z is given by
Volume = 1/3* pi * radius *radius *height
The formula for volume of the cylinder Y is given by
Volume = pi * radius *radius *height
Since, it is given that Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.
Thus, substituting in the formula of volume of the cone Z, we get,
Volume = 1/3* pi * radius *radius *3*height
Simplifying, we have,
Volume = pi * radius *radius *height
Hence, the volume of the cone Z = volume of the cylinder Y
Thus, the figures cone Z and cylinder Y have the same volume.
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ1
A recipe requires a cooking temperature of 280°C. Determine the equivalent of this temperature in °F.
Answer: To convert a temperature from degrees Celsius (°C) to degrees Fahrenheit (°F), you can use the following formula:
°F = (9/5) x °C + 32
So, to convert 280°C to °F:
°F = (9/5) x 280 + 32 = 536 + 32 = 568°F
So the equivalent of 280°C in °F is 568°F
Step-by-step explanation:
ayuden gente pipi ,a rectangular garden has a walkway around it .the area of the garden is 6(4.5x+2.5).the combined area of the garden and the walkway is 6.5(6x+4)find the area of the walkway around the garden as the sum of two terms
The circumference of the walkway is 26 x + 16 when two words are added together.
Discover the product of two terms for the walkway's circumference around the garden?A walkway around a rectangular garden.
The garden's size is 4(4.5 x + 1.5) square meters.
The garden's and the walkway's combined area is 5.5(8 x + 4)
We must locate the location of the walkway.
By deducting the size of the pathway from the area of the
from the combined area, a rectangle
Simplify it to provide the combined area as 5.5(8 x + 4)
The total area is equal to 5.5(8 x) Plus 5.5. (4)
∴Area added together: 44 x + 22
Simplify: The garden's area is 4(4.5 x + 1.5).
The garden's size is equal to 4(4.5 x) Plus 4. (1.5)
The garden's size is equal to 18 x + 6.
Subtract the garden's area from the total area now.
The walkway's area is equal to (44 x + 22) minus (18 x + 6)
Area of the walkway is equal to 44x + 22 - 18 x - 6
- Add similar phrases.
The walkway's size is equal to (44 x - 18 x) +. (22 - 6)
Walkway area equals 26 x plus 16
To learn more about garden's area refer
https://brainly.com/question/13634984
#SPJ1
the rectangle below consists of 8 unit squares. what fraction of the rectangle is shaded?
A fraction of the rectangle is shaded = 1/4
Consider following diagram.
The rectangle below consists of 8 unit squares.
To find: fraction of the rectangle is shaded
We know that the fraction is used to represent the portion or part of the whole thing.
The fraction has two parts: numerator and denominator.
The top part of fraction is numerator and the bottom part is denominator.
consider a fraction 1/8.
Here, numerator is 1, denominator is 8
When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8
Here, a rectangle consists of 8 unit squares. Out of 8 unit squares, 2 squares are shaded.
So, the fraction would be 2/8
We simplify above fraction 2/8 = 1/4
So, 1/4 of the rectangle is shaded.
Learn more about fraction here:
brainly.com/question/24638688
#SPJ4
The solution to x2 – 10x = 24 is
✔ 12 or –2
.
The solution to 2x2 – 11 = 87 is
✔ 7 or –7
.
The solution to 3x2 – 12x + 24 = 0 is
✔ 2 + 2i or 2 – 2i
.
The solution to x^2 – 10x = 24 is 12 or -2. The solution is obtained by solving the algebraic equation.
What is algebraic equation?
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). For the algebraic equation, the expression must contain an equals to sign.
We are given equation as x^2 - 10x = 24
This can be re-written as x^2 - 10x - 24 = 0
In order to find the solution, we need to solve the equation for x.
So,
⇒x^2 - 10x - 24 = 0
⇒x^2 - 12x + 2x - 24 = 0
⇒x (x - 12) + 2 (x - 12) = 0
⇒(x - 12) (x + 2) = 0
⇒x = 12 , -2
Hence, the solution to x^2 – 10x = 24 is 12 or -2.
Learn more about algebraic equation from the given link
https://brainly.com/question/4344214
#SPJ1
Since there are multiple question, so the question answered above is
The solution to x2 – 10x = 24 is
✔ 12 or –2
What is the result when the number 28 is decreased by 2.6%?
Answer:
97.4
Step-by-step explanation:
Josiah takes a multiple-choice quiz that has three questions. Each question has five answer options. if he randomly chooses his answers, what is the probability that he will get all three correct
Answer: 1/15
Step-by-step explanation: 3*5=15
Drag the files to the correct boxes to complete the pairs make each system of linear equations with the correct number of solutions 
A linear function is a function that represents a straight line on the coordinate plane. So the pairs 3x-y=4 and 6x-2y=8 make each system of linear equations with the correct number of solutions.
What is meant by linear?
The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function.Students study the direct variation, slope-intercept form, standard form, and point-slope forms of four types of equations.A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.The phrase "affine function" is frequently used to distinguish such a linear function from another idea.A linear function is one that, when plotted, forms a straight line. Therefore, non-linear functions are all non-linear functions.3x - y = 4 6x-2y = 8
3x=4+y 6x = 8 + 2y
3x/3 = 4/3 + y/3 6x/6 = 8/6 + 2y/6
x = 4 + y/3 x = 4 + y/3
-3+y=7 -2x-4y = -8
y = 7 + 3 -2x = -8 +4y
y = 10 -2x/-2 = -8/-2 + 4/-2
x = -2(y-2)
y=-4x-5 y=-4x+1
Axis interception points of -4x-5: Axis interception pointsof -4x+1:
X Intercepts (-5/4,0), X Intercepts (1/4,0),
Y Intercepts (0,-5). Y Intercepts (0,1).
To learn more about linear refer to
https://brainly.com/question/2030026
#SPJ1
1. Find the sum of the measures of the interior angles of a convex 22-gon.
The sum of interior angles of the given 22 sided convex polygon is; 3600°
What is the sum of interior angles of a polygon?When it comes to finding the sum of the interior angles of a a convex polygon that has n sides, we can say that its interior angle sum is given by the following equation:
S = ( n − 2) × 180°.
where;
n is the number of sides of the convex polygon
Thus, for a 22 sided convex polygon;
S = (22 - 2) × 180°
S = 20 × 180°
S = 3600°
That represents the sum of interior angles of the given polygon.
Read more about sum of angles of a polygon at; https://brainly.com/question/224658
#SPJ1
Rewrite as equivalent rational expressions with denominator (5a+2)(a−4)(a+2). 2/5a^2-18a-8, 8a/5a^2+12a+4
Answer: To rewrite the given expressions as equivalent rational expressions with the denominator (5a+2)(a−4)(a+2), we need to factor the denominators of the given expressions and cancel out any common factors between the numerator and denominator.
2/5a^2-18a-8
We can factor the denominator: 5a^2-18a-8 = (5a+8)(a-1)
Now we can cancel out the common factor of (a-1) from the numerator and denominator
2/(5a+8)
8a/5a^2+12a+4
We can factor the denominator: 5a^2+12a+4 = (5a+4)(a+1)
Now we can cancel out the common factor of (a+1) from the numerator and denominator
8a/(5a+4)
Now we can multiply the numerators and denominators of both expressions with (5a+2)(a−4)(a+2)
(2*(5a+2)(a−4)(a+2)) / (5a+8)(a-1)(5a+2)(a−4)(a+2) = 2(a−4)(a+2) / (5a+8)(a-1)
(8a*(5a+2)(a−4)(a+2)) / (5a^2+12a+4)(5a+2)(a−4)(a+2) = 8a(5a+2) / (5
Step-by-step explanation:
radius = 8.8 cm and height = 4.7 cm what's the volume?
According to the given information in the question the volume of the cylinder is approximately 1232.5 cm³.
What are volume and mass?A three-dimensional object's volume is the area it takes up, and it is expressed in cubic units. Cm3 and in3 are examples of cubic units.On the other hand, an item's mass can be used to calculate how much matter it contains. The weight of an object is a common way to determine mass (in units like pounds or kilograms).
Which is a volume unit?The most popular units of volume in the decimal system of measurement are ml. and liters.
V = * r² * h is the formula for a cylinder's volume.
V = π * (8.8 cm)² * 4.7 cm
V = π * 77.44 cm² * 4.7 cm
V ≈ 1232.5 cm³
To know more about volume visit:
https://brainly.com/question/13338592
#SPJ1
A manager bought lunch for her coworkers. Each person picked either a salad or a burger. The salads cost $8 each and the burgers cost $4 each. If the manager spent $152 and bought lunch for 28 people, how many of each item did she buy?
Answer:
10, 8
Step-by-step explanation:
Let x be the number of salads and y be the number of burgers.
We know that:
x + y = 28 (the total number of people)
8x + 4y = 152 (the total cost in dollars)
We can use the first equation to solve for one variable in terms of the other.
x = 28 - y
Now we can substitute this expression into the second equation:
8(28 - y) + 4y = 152
224 - 8y + 4y = 152
224 = 12y
y = 18 (burgers)
We can then use this value to find the number of salads
x = 28 - y = 28 - 18 = 10 (salads)
So the manager bought 10 salads and 18 burgers
Describe where the particle changes direction and the intervals where the particle speeds up or slows down. (20 points)
At the locations where the acceleration graph veers off, the particle changes course. It accelerates at positive slope acceleration graph intervals and decelerates during negative slope acceleration graph intervals.
At the locations where the acceleration graph veers off, the particle changes course. At these locations, the particle's acceleration is zero and the slope of the graph flip-flops from positive to negative. The particle changes direction at this point. The particle either speeds up or slows down in the intervals before and after the point of inflection. The particle is speeding up during the intervals where the acceleration graph has a positive slope, and slowing down during the intervals where the acceleration graph has a negative slope. We can determine how the particle is changing direction and whether it is speeding up or slowing down by examining the slope of the acceleration graph.
Learn more about graph here
https://brainly.com/question/17267403
#SPJ4
the total amount of water a tank can hold is gallons. raul wants to find out how many -gallon buckets of water can be used to fill the tank. which expressions could be used to represent this scenario? select two options..
The volume of a tank can be calculated by multiplying its length, width, and height.
Therefore, the expression to calculate the total amount of water a tank can hold in gallons can be represented by V = lwh, where V is the volume, l is the length, w is the width, and h is the height of the tank.
To find out how many -gallon buckets of water it takes to fill the tank, we can divide the total amount of water the tank can hold by the size of each bucket. This can be represented by the expression: n = V/g, where n is the number of buckets, V is the total amount of water the tank can hold, and g is the size of each bucket.
For example, if the tank is 8 feet long, 4 feet wide, and 2 feet tall and each bucket holds 1 gallon of water, the total amount of water the tank can hold is V = (8)(4)(2) = 64 gallons. Thus, the volume of a tank buckets of water needed to fill the tank would be n = 64/1 = 64 buckets.
Learn more about volume of a tank here:
https://brainly.com/question/27819222
#SPJ4
Complete question : Raul has a tank with a capacity of 200 gallons and wants to use buckets that hold 5 gallons each. How many buckets does he need to fill the tank?
What would hill sports current ratio have been on June 30, 2019, if the company were to have paid $10 (million) of its accounts payable?
Answer: The current ratio is a measure of a company's ability to meet its short-term obligations, it is calculated by dividing the current assets by current liabilities. If Hill Sports paid $10 million of its accounts payable on June 30, 2019, it would have reduced its current liabilities by $10 million.
To find out the current ratio after the payment, we need to know the current assets and current liabilities as of June 30, 2019.
If we assume that the current assets were $40 million and the current liabilities were $20 million as of June 30, 2019,
The current ratio = current assets / current liabilities = 40/20 = 2
After the company paid $10 million of its accounts payable, the current liabilities would be reduced by $10 million to $10 million.
So the new current ratio would be:
current assets / current liabilities = 40/10 = 4
So, Hill Sports' current ratio would have been 4 on June 30, 2019, if the company were to have paid $10 million of its accounts payable.
Step-by-step explanation:
The current ratio of a company, a liquidity ratio, would increase if a company pays part of its accounts payable thus reducing its current liabilities. However, the exact current ratio cannot be determined without specific financial figures for Hill Sports' current assets and liabilities.
Explanation:The current ratio of a company is a liquidity ratio that measures a company's ability to pay short-term obligations or those due within one year. It is calculated by dividing a company's Current Assets by its Current Liabilities. Accounts payable is generally counted as a current liability.
So, if Hill Sports was to pay $10 million of its accounts payable, this would decrease its current liabilities by $10 million. Assuming the current assets remains the same, this would result in an increase in the current ratio because the denominator (current liabilities) is decreasing.
Without specific numbers for Hill Sports' current assets and liabilities, we cannot calculate the exact current ratio. However, the change in the ratio can be estimated if the original figures are known.
Learn more about Current Ratio here:https://brainly.com/question/33088960
#SPJ2
several students wonder which is a better buy a 40 pack of pencil top erasers for $2.82 or a 2 pack of pencil top erasers for $0.12. they use different methods to arrive at an answer
If several students wonder which is a better buy a 40 pack of pencil top The option that is the best is option 2 because it is cheaper.
How to find the option that is the best?Option 1
40 pack of pencil top erasers = 2.82/ 40
40 pack of pencil top erasers = 0.07
40 pack of pencil top erasers = 7 cent cost of each pack
Option 2 :
2 pack of pencil top erasers =0.12/ 2
2 pack of pencil top erasers = 0.06
2 pack of pencil top erasers = 6ent a pack
Based on the above calculation the second option is better than the first option based on the fact that you tend to get pencils cheaper per pack.
Therefore option 2 is better.
Learn more about pack of pencil top erasers here:https://brainly.com/question/1666386
#SPJ1
Chang received a $50.00 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars) on the card after buying x prints is giving by the following functions?
Answer: B = 50 - 0.06x
Step-by-step explanation:
This equation shows that the remaining balance on the gift card (B) is equal to the initial amount of the gift card (50) minus the cost of the prints (0.06x) where x is the number of prints purchased.
- A person has a beginning balance of $660. She pays $90 on the ninth day, and she
charges $320 on the 28th day. What amount of interest is due on her account if it has an
APR of 26 percent?
The total amount of interest due on the account is $8.36.
What is the simple interest?
Simple interest is a method of calculating the interest on a loan or deposit. It is calculated as the principal amount multiplied by the interest rate, multiplied by the number of time periods (usually in years).
To calculate the interest due on the account, we first need to determine the number of days for which the interest will accrue. Since the payment was made on the 9th day and the charge was made on the 28th day, the interest will accrue for 28 - 9 = 19 days.
We then use the formula for simple interest: Interest = Principal x Rate x Time
In this case, the Principal is the beginning balance of $660, the Rate is the APR of 26% (which must be converted to a decimal by dividing by 100), and the Time is the number of days for which the interest will accrue (19 days).
So the Interest = $660 x 0.26 x (19/365) = $8.36
Therefore, the total amount of interest due on the account is $8.36.
To learn more about the simple interest, visit:
https://brainly.com/question/24274034
#SPJ1
On the plot shown, assume the horizontal axis represents x and the vertical axis represents y. At what value of x does the function y(x) have a value of zero and a positive derivative?
At x =6 the function has a positive slope.
A function is a mathematical expression, rule, or law that describes the relationship between an independent variable and a dependent variable. At x = 2 and x = 6, the function y(x) is zero, and it has a value of 1 for all other values of x. the dependent variable. Functions are essential for building physical relationships in both math and science.
A function, which generates one output from a single input, is an illustration of a rule. origin of the image. An illustration of this is Y=X2.
But
At x = 2, the function starts to decline and has a negative slope. negative derivative
while
At x = 6, the function increases with a positive slope, producing a positive derivative.
To learn more about Function :
https://brainly.com/question/29120892
#SPJ4
A spherical balloon is expanding at the rate of 60 pie in^3/sec. How fast is the surface area of the balloon expanding when the radius of the balloon is 4 inches?
30 is the fast surface area of the balloon expanding when the radius of the balloon is 4 inches
Now, According to the question:
A spherical balloon is expanding at the rate of 60 pie cubic inches /sec.
The radius of the balloon is 4 inches.
Now, Solving the problem:
By using formula:
The formula for the volume of a sphere is V = 4/3 π r³,
where V = volume and r = radius.
Volume = [tex]\frac{4}{3}\pi r^3[/tex]
We have that:
Differentiate the formula:
[tex]\frac{dV}{dt}=4\pi r^2.\frac{dr}{dt}= 60[/tex]
=> [tex]\frac{dr}{dt}=\frac{60}{4\pi r^2}[/tex]
We know that [tex]A=4\pi r^2,[/tex] and so we also have
[tex]\frac{dA}{dt}=8\pi r.\frac{dr}{dt}[/tex]
Plug in what we found for dr/dt and plug in r=4 to get:
[tex]\frac{dA}{dt}=8\pi r.\frac{60}{4\pi r^2}[/tex]
[tex]\frac{dA}{dt}=\frac{120}{r}=\frac{120}{4}[/tex]
[tex]\frac{dA}{dt}=30[/tex]
Learn more about Volume of sphere at:
https://brainly.com/question/9994313
#SPJ4
Which of the following are parallelograms? Choose ALL that apply.
Trapezoid
Square
Rectangle
Rhombus
Answer: all of the above
Step-by-step explanation:
Answer: square,Rectangle,Rhombus and trapezoid
Step-by-step explanation:
they all have pairs of parallel sides
Please mark me brainllest
A plane figure has 2 sides that
each 5 inches and 2 sides that are each
3 inches. What is the perimeter of the
plane figure?
The perimeter of the plane figure which is a quadrilateral with four straight sides is equal to 16 inches.
What is the perimeter of a plane figureTo know the perimeter of a plane figure, we add up all the length of its sides or boundaries together. That is the sum total of the length of a plane figure is called its perimeter.
The plene figure has for sides who two of it is 5 inches each and the other two is 3 inches each.
thus we calculate for the perimeter as follows:
perimeter of the plane figure = 5 in + 5 in + 3 in + 3 in
perimeter of the plane figure = 16 inches
Therefore, the perimeter of the plane figure which is a quadrilateral with four straight sides is equal to 16 inches.
Know more about perimeter here:https://brainly.com/question/397857
#SPJ1
Use the zoom controls to magnify the Moon until it fills the entire Sky Chart. Read the field of view display on the bottom left corner of the Status Bar. Roughly, what is the angular diameter of the Moon?
59 arc minutes (59')
30 arc minutes (30')
30 arc seconds (30")
15 arc minutes (15')
We frequently have no idea of their distance from us when we observe things in the night sky. For instance, although having the appearance of being inside a sphere with a very big radius that surrounds the Earth, the stars are actually all located at vastly different distances from our Solar System.
The angle that an object makes (subtends) as observed by an observer is its angular diameter. This is illustrated in the image below, where an observer at A (who is closer to the object) perceives the object's angular diameter as being larger than an observer at B. The terms "angular diameter" and "distance between two objects, measured on the celestial sphere" are interchangeable.
To know more about angular diameter visit :
https://brainly.com/question/29732217?referrer=searchResults
#SPJ4