Answer:
1. 900
2. 350
Step-by-step explanation:
the formula,
A= P(1+rt)
A= final amount
P= starting amount
r= intrest rate
t= time
1. A=750(1+.05*4)
A=750(1.2)
A=900
2. A=1500(1+.1*2)
A=1500(1.1)
A=1650
But theyre
asking for how much intrest will they get back, so you subtract the new amount by the starting amount to find how much intrest was earned
1650-1500=350
A person who takes a 10-minute shower might use between 20 and 25 gallons of water,depending on the speed of the water passing through the showerhead . The lower the speed, the less water that is used.
The equation w=2.5m models the amount of water, w, in gallons that passes through a showerhead in minutes.
Which is the independent variable and which is the dependent variable?
The amount of water in gallons, w, is the independent or dependent variable.
The time in minutes, m, is the independent or dependent variable.
Answer:
The amount of water in gallons, w, is the dependent variable.
The time in minutes, m, is the independent variable.
Step-by-step explanation:
The amount of water in gallons depends on the time in minutes. If the time is higher, the amount of water in gallons will be higher. If the time is lower, the amount of water in gallons will be lower.
Hope that helps.
PLEASE HELP NOW --- >N is a 2-digit even number. If the last two digits of N^2 is the same as N, what is the sum of digits of N?
Answer:
76.
Step-by-step explanation:
It is given that N is a 2-digit number.
Last two digits of N^2 is the same as N.
We know that, a number is even if it ends with 0,2,4,6,8.
[tex]2^2=4,4^2=16,6^2=36,8^2=64[/tex]
If 0 is in end then we get two zeros in the square of that number.
It is clear that, number should ends with 6 to get the same number at the end.
[tex]16^2=256[/tex]
[tex]26^2=676[/tex]
[tex]36^2=1296[/tex]
[tex]46^2=2116[/tex]
[tex]56^2=3136[/tex]
[tex]66^2=4356[/tex]
[tex]76^2=5776[/tex]
[tex]86^2=7396[/tex]
[tex]96^2=9216[/tex]
It is clear that last two digits of (76)^2 is the same as 76.
Therefore, the required number is 76.
Solve for x in the diagram below.
Answer:
x=20
Step-by-step explanation:
3x + 2x + 80=180
5x+80=180
5x=100
x=20
Answer:
x = 20 degrees
Step-by-step explanation:
For this problem, it is important to know that the measure of a line is 180 degrees. With this in mind, let's build an equation:
3x + 80 + 2x = 180
Now that we have this equation, let's solve for x.
3x + 80 + 2x = 180
5x + 80 = 180
5x = 100
x = 20
Hence, x is 20 degrees.
Cheers.
A medical equipment industry manufactures X-ray machines. The unit cost (the cost in dollars to make each X-ray machine) depends on the number of machines made. If machines are made, then the unit cost is given by the function . What is the minimum unit cost?Do not round your answer.
Answer:
$14,362
Step-by-step explanation:
The computation of the minimum unit cost is shown below:
Given that
0.6x^2 - 108x + 19,222
And as we know that the quadratic equation form is
ax^2 + bx + c
where
a = 0.6
b = -108
c = 19,222
Now for determining the minimal cost we applied the following formula which is
[tex]= \frac{-b}{2a} \\\\ = \frac{-(-108)}{2\times 0.6} \\\\ = \frac{108}{1.2}[/tex]
= 90
Now put these values to the above equation
[tex]= 0.6\times 90^{2} - 108 \times 90 + 19,222[/tex]
= 14,362
Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hoped to meet a 2018 goal of 30.2 mpg or better for their fleet of cars. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 32.12 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have attained their fuel economy goal
Answer:?
Step-by-step explanation:
A function f(x) has x-intercepts of -3 and -5 what is the constant term in the function f(x)=x^2+8x+
Answer:
[tex]x^{2}[/tex]
Step-by-step explanation:
because x^{2} represents the quadratic equation, so I don't think it will affect it
what is the value of the angle marked with x
Answer:
67°Step-by-step explanation:
Given figure is an isosceles trapezoid. Then angles corresponding to equal sides must also be equal. Hence, X = 67°
Theorem: If a quadrilateral ( with one set of parallel sides ) is an isosceles trapezoid, it's legs are congruent.
Hope this helps...
Best regards!!
help plzz ... Trigonometry
Answer:
XYZ = 21.8
Step-by-step explanation:
the missing angle is XYZ
cos XYZ = [tex]\frac{adjacent}{hypotenus}[/tex] tan XYZ = [tex]\frac{6}{15}[/tex] tan XYz = 0.4using a calculator:
tan^(-1)(0.4)= 21.8so XYZ = 21.8
The area of circle Z is 64 ft^2.
What is the value of r?
Or= 4 ft
O r= 8 ft
O r= 16 ft
O = 32 ft
Answer:
The answer is
r =4 ftStep-by-step explanation:
Area of a circle is given by πr²
Where r is the radius
From the question
Area = 64 ft²
So the radius is
64 = πr²
Divide both sides by π
[tex] {r}^{2} = \frac{64}{\pi} [/tex]
Find the square root of both sides
[tex]r = \sqrt{ \frac{64}{\pi} } [/tex]
r = 4 ft
Hope this helps you
The answer is 8 not 4.5 or 4!!!!!!!!
Step-by-step explanation: It's not just "64" its 64pi. when you posted the question your device could not put the pi symbol so people were thinking that it was just 64.
steven wants to buy a 495 steven has no money saved,but will be able to deposit 40 into a savings account when he receives his paycheck each Friday however before steven can buy the bike he must give his sister 65 that he owes her
Answer:
14 paychecks
Step-by-step explanation:
$495 + $65 = $560
$560 / 40 = 14
Therefore , he must save for 14 paychecks
Hope this helps and pls mark as brainliest :)
Answer:
14
Step-by-step explanation:
$495 + $65 = $560
$560 / 40 = 14
He must save for 14 paychecks.
Hope this help
Mark me BRAINLIEST
Tysm
Given: r || s, and t is a transversal that cuts both r and s. Prove: <1 = <5, <2 = <6, <3 = <7, and <4 = <8 Write a paragraph proof to prove that the corresponding angles shown are congruent.
Answer:
Lines r and s are parallel as Corresponding Angles given. There are four pairs of corresponding angles: angle 1 and angle 5, angle 2 and angle 6, angle 3 and angle 7, and angle 4 and angle 8. Since r and s are parallel, the slope of r is equal to the slope of s. Since t is a straight line, the slope of t is the same at both intersections, by the definition of a straight line. Thus, the corresponding angles created at both intersections must have the same measure, since the difference of the slopes at each intersection is the same, and the intersections share a common line. So, corresponding angles must have equal measure. Therefore, by definition of congruent angles, corresponding angles are congruent: angle 1 is congruent to angle 5, angle 2 is congruent to angle 6, angle 3 is congruent to angle 7, and angle 4 is congruent to angle 8.
Step-by-step explanation
answer from haven
Write the equation of a line that is perpendicular to x=3x=3x, equals, 3 and that passes through the point (0,-4)(0,−4)left parenthesis, 0, comma, minus, 4, right parenthesis.
Answer:
y= -4
Step-by-step explanation:
Khan Academy
The equation of a line that is perpendicular to x = 3 will be y = -4.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation is given below.
x = 3
The equation of the line that is perpendicular to the line x = 3 is given as,
y = d
The line is passing through (0, -4), then the equation of the line is given as,
y = -4
The equation of a line that is perpendicular to x = 3 will be y = -4.
More about the equation of a perpendicular line link is given below.
https://brainly.com/question/14200719
#SPJ2
Solve the inequality. 12x – 3x + 11 > 4x – (17 – 9x)
Answer:
20>4
Step-by-step explanation:
12-3 forget about the x 12-3=9 . 9+11=20
(17-9)=8 . 8-4 =4
so your answer is correct
Answer:Subtract 3x from 12x
9 x + 11 > 4 x − ( 17 − 9 x )
Simplify 4 x − ( 17 − 9 x ) .
9 x + 11 > 13 x − 17
Move all terms containing x to the left side of the inequality.
−4 x + 11 > − 17
Move all terms not containing x to the right side of the inequality.
− 4 x > − 28
Divide each term by − 4 and simplify
x < 7
Interval Notation:
( − ∞ , 7 )
(-13) X ... X (-13).
35 times
Use the ^ symbol to represent an exponent.
For example: 52 should be typed as 5^2
Negative Bases must be in parenthesis. For example (-3)^4
Answer:
(-13)^35
Step-by-step explanation:
As instructed,
(-13) * (-13) ...(-13) 35 times is represnted as
(-13)^35
( = -972786042517719014174576083150881262357 .... by the way)
hi im new and i need help picture below, please help, thank you :)
Answer:
x = 80 degrees
Step-by-step explanation:
y degrees = 180 - 55 - 45 (Angles in a triangle add up to 180 degrees)
y degrees = 80 degrees
x = y (Vertically opposite angles are equal)
So,
x = 80 degrees
the angle of elevation of the top of a tree from a point 27m away on the same horizontal ground as the foot on the tree is 30 degrees .find the height of the tree.
Answer:
The height of the tree = 15.59m
Step-by-step explanation:
let's make the height of the tree = x
tan30=x/27
x = 27 x tan30
x = 15.59m
-2x(x+3)-(x+1)(x-2) please help me solve this
Answer:
u have to multiply these.
it's too easy .
see I will tell you the answer.
-2x²-6x-(x²-2x+x-2)
Now the signs of the underlined terms will change because negative sign is outside it.
-2x²-6x-x²+ 2x-x + 2
Now we have to solve it simply
-2x²-x²-6x+ 2x-x + 2
-3x²-5x+2
so here is ur answer.
for Indians it is soo simple question bro
I am Indian
if u need any help plz let me know.
The graphed line shown below is y = negative 2 x minus 8. Which equation, when graphed with the given equation, will form a system that has infinitely many solutions? y = negative (2 x + 8) y = negative 2 (x minus 8) y = negative 2 (x minus 4) y = negative (negative 2 x + 8)
Answer: A y = -(2x+8)
Step-by-step explanation:
The first line is y=-2x-8
Thus, the answer that simplifies to y = -2x-8 is the answer.
a) y=-(2x+8)
Distribute
y=-2x-8
Because it works, no need to try the others.
Hope it helps <3
Answer:
[tex]\boxed{y = -(2x + 8)}[/tex]
Step-by-step explanation:
For the two lines to have infinite [tex]\infty[/tex] solutions, the two equations must be the same.
First equation : y = -2x - 8
A. y = -(2x + 8)
y = -2x - 8 correct
B. y = -2(x - 8)
y = -2x + 16 incorrect
C. y = -2(x - 4)
y = -2x + 8 incorrect
D. y = -(-2x+8)
y = 2x - 8 incorrect
y = -2x - 8 and y = -(2x + 8) when graphed are the same, they intersect at infinite points and there are infinite solutions.
Tristan wants to buy a car and has a choice between two different banks. One bank is offering a simple interest rate of 3% and the other bank is offering a rate of 2.5% compounded annually. If Tristan decides to deposit $7,000 for 4 years, which bank would be the better deal? 1. a simple interest rate of 3% 2. a compound interest rate of 2.5%
Answer:
The bank offering simple interest at rate of 3% for four years
Step-by-step explanation:
Hello,
To find out which deal would be better, we have to find how much accrued on the simple and compound interest.
Data;
Principal (P) = $7,000
Time = 4 years
Simple interest rate = 3%
S.I = PRT / 100
S.I = (7000 × 3 × 4) / 100
S.I = $840
In four years, he would have $7000 + $840 = $7840.
For compound interest,
C.I = P(1 + r/n)^nt
Where n = number of time compounded = 1 (since it's annually)
rate = 2.5% = 2.5/ 100 = 0.025
C.I = 7000(1 + 0.025/1)⁽¹*⁴⁾
C.I = 7000 (1 + 0.025)⁴
C.I = 7000×(1.025)⁴
C.I = 7000 × 1.1038
C.I = $7726.6
In four years he would have $7,726.6
After calculating and evaluating both option, it's advisable for him to select the bank offering a simple interest of 3% for four years
If a polynomial function f(x) has roots -9 and 7 -i, which must be a factor of f(x)
Answer:
(x + 9) (x - 7)
Step-by-step explanation:
when we put x + 9 = 0 then x = -9 as it's the root of the fuction.
same thing here: x - 7 = 0 then x = 7
The coordinates of point L on a coordinate grid are (−2, −4). Point L is reflected across the y-axis to obtain point M and across the x-axis to obtain point N. What are the coordinates of points M and N? M(2, 4), N(−2, −4) M(2, −4), N(−2, 4) M(−2, −4), N(2, 4) M(−2, 4), N(2, −4)
Answer:
M(2, −4), N(−2, 4)
Step-by-step explanation:
Transformation is the movement of a point from one place to another. If an object is transformed, all the points of the object are being changed. There are different types of transformation which are: Reflection, rotation, translation and dilation.
Reflection of a point is the flipping of a point. If a point A(x, y) is reflected across the x axis, the new point is A'(x, -y). If a point B(x, y) is reflected across the y axis, the new point is A'(-x, y).
The coordinates of point L on a coordinate grid are (−2, −4), if Point L is reflected across the y-axis to obtain point M, the coordinates of M is at (2, -4).
if Point L is reflected across the x-axis to obtain point N, the coordinates of N is at (-2, 4).
Answer: M(2, −4), N(−2, 4) So D can i get branliest
Step-by-step explanation:
A restaurant serves only tacos and enchiladas. If 60% of everyone who ate at the restaurant on a certain day ordered tacos, what percentage of those who ate at the restaurant ordered enchiladas that day
Answer:
i. 70%
ii. 70%
Step-by-step explanation:
Since in the question, it is given that 60% of everyone is ordered tacos so 40% of everyone is ordered enchiladas
i. Now if half ordered tacos that means out of these 30 orders enchiladas.
since 30 ordered tacos that means 70% ordered enchiladas
ii. Now for 3 by 4 we have to assume the number of people who ordered only enchiladas be x
So,
For both, it would be 0.75 x
And, the number of people who did not order is 40 as 60 tacos are ordered by people
So, the percentage is
= 40 × 0.75 + 40
= 30 + 40
= 70%
I don't understand the British system of colonization
Answer:
Which of the following numbers is a composite number that is divisible by 3? A. 49 B. 103 C. 163 D. 261 Answer: B) 245
Step-by-step explanation:
A portion of the Quadratic Formula proof is shown. Fill in the missing statement. x equals b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over a x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a x plus b over 2 times a equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a
Answer: [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Step-by-step explanation:
When you subtract b/2a from both sides, you end up with the Quadratic Formula.
Answer:
[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]
Step-by-step explanation:
[tex]\displaystyle x+\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}[/tex]
Subtract [tex]\frac{b}{2a}[/tex] from both sides.
[tex]\displaystyle x+\frac{b}{2a} -\frac{b}{2a} =\±\frac{\sqrt{b^2-4ac} }{2a}-\frac{b}{2a}[/tex]
[tex]\displaystyle x=\frac{ \± \sqrt{b^2-4ac} -b}{2a}[/tex]
[tex]\displaystyle x=\frac{-b \± \sqrt{b^2-4ac} }{2a}[/tex]
This is a quadratic formula.
Please answer this question now
Answer:
7.8
Step-by-step explanation:
To do this problem you need to know Pythagorean Theorem which is also known as [tex]a^{2} +b^{2} =c^{2}[/tex].
In this problem 6 would be a, 5 would be b, and d would be c. So to do this we would do 5 squared (which is 25)+ 6 squared which is 36) and you would get 61 and when you do that you will just take the square root of that which is 7.81 and round it to the nearest tenth which is 7.8 and that would be the final answer
what is 2.267676767 as a fraction
Answer:
2267676767/1000000000
Step-by-step explanation:
To write 2.267676767 as a fraction you have to write 2.267676767 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
2.267676767 = 2.267676767/1 = 22.67676767/10 = 226.7676767/100 = 2267.676767/1000 = 22676.76767/10000 = 226767.6767/100000 = 2267676.767/1000000 = 22676767.67/10000000 = 226767676.7/100000000 = 2267676767/1000000000
And finally we have:
2.267676767 as a fraction equals 2267676767/1000000000
Hope it helps.. If yes mark me BRAINLIEST!!
TYSM!
Answer:
2267676767/1000000000
Step-by-step explanation:
when converting a decimal to fraction,
write down the decimal divided by 1 and than add as many zeros as the digits after the decimal point.
since we have nine digits after the decimal point nine zeros are put after the '1'
1.) Which movie had the Lower Q3 as shown in the box plot?
Movie A
Movie B
Both about the same
Q3, or third quartile, is visually located at the right edge of the box. Movie A shows to have a smaller Q3 value as it is to the left of Q3 for movie B.
Select the equation that could represent the relationship between f(x) and g(x).
Answer:
C
Step-by-step explanation:
First, f(x) and g(x) are mirror image over the x-axis. so add a -ve in front.
Second, f(x) is about 2x steeper than g(x), that is its slope is doubled. so add a 2 in front.
Thus, f(x) = -2 g(x)
A zookeeper weighed an African elephant to be 9 × 103 pounds and an African lion to be 4 × 102 pounds. How many times greater is the weight of the elephant than the weight of the lion? A. 2.25x 10 B. 5 C. 13x10 D. 3.6x10
Answer:
2.25 x 10
Step-by-step explanation:
In the above question, we were given :
The weight of the Elephant = 9 × 10³ pounds
The weight of the African Lion = 4 × 10² pounds
We would compare both weights to determine which size is bigger
Weight of Elephant : Weight of Lion
9× 10³ : 4 × 10²
= 9 × 10³/4 × 10²
= 2.25 × 10¹
= 2.25 × 10
The weight of the elephant is 2.25 × 10 times greater than the weight of the lion.
Solve with long division method 31/27
Answer:
1.148 repetent
Step-by-step explanation:
hope this helps