Answer:
x =(7-√97)/-4= 0.712
Or
x =(7+√97)/-4=-4.212
?.
7,000 dollars is placed in a savings account with an annual interest rate of 3%. If no
money is added or removed from the account, which equation represents how much
will be in the account after 7 years?
A. M= 7,000(0.03)
B. M= 7,000(1 + 0.03)(1 + 0.03)
C. M= 7,000(1 - 0,03)
D M= 7,000(1.03)
Total Amount on principal 7000dollars at the rate of interest 3% for time period 7years is equals to $8470.
What is simple interest?
" Simple interest is a method of calculating interest on the amount of money deposited for fixed period on fixed rate of interest."
Formula used
[tex]Amount = P ( 1+ rt) \\P= Principal\\r= Rate of interest\\t= time period[/tex]
According to the question,
Given,
Principal 'P' = $7000
Rate of interest 'r'= 3%
Time period 't' = 7years
Substitute the value in the formula to get total amount with interest,
[tex]Amount = 7000 [ 1+ (\frac{3}{100} )(7)][/tex]
[tex]=7000[ 1+ (0.03)(7)]\\=7000(1.21)\\=8470 dollars[/tex]
Hence, the total Amount on principal 7000dollars at the rate of interest 3% for time period 7years is equals to $8470.
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this question is too hard
Answer:
There are 33 nuts in the bag, to 21 dried fruits.
Total number of dried fruits is 21, while the total number of nuts is 33.
Step-by-step explanation:
Please Help! Will Give Brainlest!
Answer:
period = 2π
Step-by-step explanation:
the period is the distance from one point on the waveform to the corresponding point on the next wave.
there is a maximum at 2π and a corresponding maximum at 4π
period = 4π - 2π = 2π
Rotate shape A 90° clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Step-by-step explanation:
(3,3)====(3,-3)
(3,2)====(2,-3)
(5,2)====(2,-5)
Which of the following statements about check-cashing companies is FALSE?
Answer:
there are no statements...
Which two numbers doesStartRoot 128 EndRoot lie between on a number line? 11. 0 and 11. 1 11. 2 and 11. 3 11. 3 and 11. 4 11. 4 and 11. 5.
A number line is a representation of a graded straight line. The number √128 will lie between 11.3 and 11.4.
What is a number line?A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are represented by the letter R. A real number is considered to correspond to every point on a number line, and a point to every real number.
In order to know the location of the √128, we need to write the number √128 in decimal form, therefore, the value of √128 can be written as,
[tex]\sqrt{128} = 11.3137 \approx 11.31[/tex]
Now, on the number line if we plot √128 we will see that it will lie between 11.3 and 11.4, as shown below.
Hence, the number √128 will lie between 11.3 and 11.4.
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Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9.
If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The given function is f(x) = 0.5 |x – 4| – 3
If the value of the function f(x) is 7, then the value of x will be
0.5 |x – 4| – 3 = 7
0.5 |x – 4| = 10
|x – 4| = 20
x – 4 = ±20
For positive signs, we have
x – 4 = 20
x = 24
For negative signs, we have
x – 4 = –20
x = –16
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The volume of a cone is 400π cm3. The height of the cone is 12 cm.
What is the length of the radius of the cone?
Answer:
10 cmStep-by-step explanation:
The volume of cone formula:
V = 1/3πr²hSubstitute te given values into the formula and solve for r:
400π = 1/3πr²(12)100 = r²r = √100r = 10Answer:
10 cm
Step-by-step explanation:
Volume of a cone
[tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]
where:
V = volumer = radiush = heightGiven information:
V = 400π cm³h = 12 cmTo find the length of the radius, substitute the given values into the formula and solve for r:
[tex]\begin{aligned}\sf V& = \sf \dfrac{1}{3} \pi r^2 h\\\\\implies \sf 400 \pi & = \sf \dfrac{1}{3} \pi r^2(12)\\\\ \sf 400 \pi & = \sf \dfrac{12}{3} \pi r^2\\\\ \sf 400 \pi & = \sf 4\pi r^2\\\\ \sf \dfrac{400 \pi}{4 \pi} & = \sf r^2\\\\ \sf r^2 & = \sf 100 \\\\ \sf \sqrt{r^2} & = \sf \sqrt{100}\\\\ \sf r & = \sf 10\end{aligned}[/tex]
Therefore, the length of the radius of the cone is 10 cm.
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Find the missing value to the nearest hundredth.
Answer:
24.62°
Step-by-step explanation:
sin^-1 (5/12)
=24.62
Answer:
24.62°
Step-by-step explanation:
sin^-1(5÷12) = 24.62°
(if you are allowed to use calculator)
Amira decides to estimate the volume of an apple by modeling it as a sphere. She measures its circumference as 43.4 cm. Find the apples's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.
The formula for the circumference of a circle (or a sphere) is [tex]2\pi r\\[/tex].
The formula the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex].
Assuming 43.4 includes the pi, we can do the equation [tex]43.4=2\pi r[/tex]
Solving the equation, we get [tex]\frac{43.4}{2\pi } =r[/tex]
Substituting r into the formua for the volume of a sphere, we get [tex]\frac{4}{3} *\pi *(\frac{43.4}{2\pi } )^3[/tex]
Solving the cube (probably with a calculator), we get [tex]\frac{4}{3} *\pi *\frac{81746.504}{8\pi ^3}[/tex]
It is a bit messy, but we can simplify further by cancelling out the pi's, which leaves us with [tex]\frac{4}{3} *\frac{81746.504}{8\pi ^2}[/tex].
With the butterfly method (or whatever you may call it), we can cancel out the 4 in the numerator and the 8 in the denominator, and multiply the 3 in the denominators.
Which gets us this: [tex]\frac{81746.504}{6\pi ^2}[/tex]
Using a calculator, we get our final answer of (about) 1380.44cm^3
This was very messy, I apologize if I did make any mistakes.
Geoffrey measures the width of his bedroom to determine the largest size bed frame he can have. The wall he plans to place the bed frame against is 13.65 feet wide. He wants there to be 2.25 feet between the wall and the bed frame on each side. What is the maximum width bed frame, in inches, that Geoffrey can put in his bedroom?
Answer:109.8 inches
Step-by-step explanation:
What causes a quadratic formula to have negative roots?
Answer:
When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.
If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Discriminant is √[tex]\sqrt{b^2- 4ac }[/tex]
a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.
In this case, we say that the roots are imaginary.
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Shana spends $18 on some almonds. She pays for the almonds with two $10 bills. How much change does Shana get back? Enter your answer in the box. $
Answer:
$2
Step-by-step explanation:
2($10)=$20
$20-$18=$2
Anyone know what (2×10⁵) ÷ (4×10²) is?
Answer:
50²
Step-by-step explanation:
(2×10⁵) ÷ (4×10²)
2 × 100000 ÷ 4 × 100
200000 ÷ 400
= 500
= 50²
Two negative integers are 8 units apart on the number line and have a product of 308.
Which equation could be used to determine x, the smaller negative integer?
x2 + 8x – 308 = 0
x2 – 8x + 308 = 0
x2 + 8x + 308 = 0
x2 − 8x − 308 = 0
Answer:
X²-8x+308
Step-by-step explanation:
two negative integers -x and -x= +x²
8units apart=-8x
all equals 308
X²-8x=308
bring everything to the LHS
X²-8x-308=0
There are values of t so that sin t= 5/4
Answer:
False
Explanation:
sin t can never be greater than 1 or less than -1
I use 1/12 of my salary to pay for rates and taxes,1/16 to pay for insurance and 5/6 to meet other expenses. if i have r320 left of my monthly salary, calculate my yearly salary.
The yearly salary after paying for taxes, insurances and other expenses is r808.42.
What is the yearly salary?The first step is to determine the total fraction used to pay for taxes, insurances and other expenses:
1/2 + 1/16 + 5/6
(48 + 6 + 80) / 96 = 134 / 96= 1 19/48
Now subtract 1 19/48 from 1
1 19/48 - 1 = 19/48
Finally, divide 19/48 by 320
320 x 48/19 = r808.42
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How to solve this please
Their sum of ages is 45
So
x+x+27=452x+27=452x=18x=9Therefore
Nabil is 9years oldTala is 36 years oldStep-by-step explanation:
let the tala's age be x and nabil's be y
x+y=45(equation 1)
x=y+27
x-y=27(equation 2)
solving 1 and 2 equation
x+y=45
x-y=27
______
2x=18
x=9
therefore the talas age is 9
putting the value of x in equarion 1
9+y=45
y=45-9
y=36
Please help!!!!!!!!!!!!
Answer:
Step-by-step explanation:
∠ABD is the complementary angle to ∠BDC.
Two angles are complementary when they add up to 90°
Help?? It's for calc.
Answer:
the answer is 1.258
Answer:
1.258
Step-by-step explanation:
Please help I don't understand because of this depreciation stuff. I want to know which one will be a better buy
So if i'm reading it right, it says the total depreciation will be 13% & 14% after the 5 years. If i'm misunderstanding, let me know and i'll fix my answer because the process will be a bit different
Depreciation means a decrease in something over time. You can think of it like a "__% off" sale if that helps
For the first option, we need to find 13% of 18,000. "Of" always means multiply, so 13%*18,000=2,340
Since we're decreasing, subtract 2,340 from the original cost
18,000-2,340=$15,660
Same process for the second option
14%*22,000=3,080
22,000-3,080=$18,920
A cylinder is a radius of 10 inches and a height of 6 inches. About what is it's volume in cubic inches? Use 3.14 for pie
Answer:
1884
Step-by-step explanation:
square the 10 which is 100 and multiply 6 which is 600 and then multiply 600*3.14 which is 1884
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Q1. If you draw a triangle with angles that measure 25 degrees and 60 degrees, what will be the measure of the third angle?
Q2. If angle 1 and angle 2 are supplementary, and angle 1 measures 80 degrees, what is the measure of angle 2?
Answer:
Q1. 95 degrees
Q2. 100 degrees
Step-by-step explanation:
When you create a triangle, all angle measures must equal 180 degrees.
So, using that information, take 180 and subtract both of the other values.
180 - 25 = 155
155 - 60 = 95
When two angles are supplementary, the sum of their angle measures equal 180, or a straight angle.
Using that information, take 180 and subtract 80.
180 - 80 = 100
The population of a town decreased by 2.5% each year. The variable y gives the population
after x years.
Answer: I assume you want an equation so thats what ill do.
y = x(0.975)
Ramer and knox began a partnership by investing $64,000 and $94,000, respectively. the partners agreed to share net income and loss by giving annual salary allowances of $52,000 to ramer and $41,600 to knox, 10% interest allowances on their investments, and any remaining balance shared equally. (enter all allowances as positive values. enter losses as negative values.) required: 1. determine each partner's share given a first-year net income of $102,800. 2. determine each partner's share given a first-year net loss of $20,800.
Each partner's share given a first-year net income of $102,800 is $-3,300.
Each partner's share given a first-year net loss of $20,800 is $-44,300.
What is each partner's share?Partner' share = net income / loss - interest - salary salary allowance
Interest = ($64000 x 10%) + ($94000x 10%) = $15,800
Salary = $52,000 + $41,600 = $93,600
Share of net income = [$102,800 - (15,800 + 93600)] / 2 = $-3,300
Share of net loss = [-20,800 - (15,800 + 93600)] / 2 = $-44,300
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bob rented a truck for one day.there was a base fee of $14.75, and there was an additional charge of 25 cents for each mile driven. the total cost, C (in dollars), for driving x miles is given by the following function. C(x)=0.25x+14.75 what is the total rental cost if bob drove 40 miles
C(x)=0.25x+14.75
=C(40)=0.25x+14.75
=40c=0.25(40) + 14.75
=40c=10+14.75
=40c=24.75
Fin each missing measure. Round all answers to the nearest tenth. Pls Help!!
Answer:
6.2 units
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.
Common segmentTo find the value of x in this figure, we need to know the length of the common segment between the two triangles. That segment is opposite the 53° angle, so can be found using the sine relation:
Sin = Opposite/Hypotenuse
Opposite = Hypotenuse × Sin = 30·sin(53°) ≈ 23.9591
__
Missing measureThe side marked x is adjacent to the marked angle in that triangle, so the relevant relation is ...
Cos = Adjacent/Hypotenuse
Adjacent = Hypotenuse × Cos = 23.9591·cos(75°) ≈ 6.20106
The length of the side marked x is about 6.2 units.
The temperature during a winter day was less than –3 degrees Fahrenheit. Yuri wants to write an inequality for the temperature during the winter day. Yuri uses the variable t to represent the temperature. Which expression should Yuri write?
t greater-than negative 3
t greater-than 3
t less-than negative 3
t less-than 3
Answer:
The answer is t < -3
Step-by-step explanation:
t < -3 is the answer, because since the temperature is less than -3 degrees Fahrenheit it has to be t < -3
Evaluate each expression.
Please help I'm extremely confused. Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included )
Answer:
x=8.4
Step-by-step explanation:
use tangent to solve the equation which is opposite/adjacent and set up the proportion
[tex] \frac{ \tan(35) }{1} = \frac{x}{12} [/tex]
the cross multiply to get x=tan(35)×12 then multiply that to get x=8.4