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GREYUIT [131]
3 years ago
14

Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants

to know how far Chubby ran, so she measures the diameter of the wheel and finds that it 8 inches.
how far did chubby run?
i need the answer in terms of pi
Mathematics
1 answer:
Tresset [83]3 years ago
8 0
The diameter 8 inches and you are trying to find the circumference
c=pi*d
c=8pi
Multiply by 100 and you get 800pi inches
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An initial deposit of $5,000 is made into a savings account that compounds 3% interest annually. How much is in the account at t
loris [4]
Find how much 3% of $5000 is. Then multiply the 3% by five and add it to 5000. I hope that didn’t sound confusing.
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3 years ago
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Mr. Winking is purchasing a car and needs to finance $24,000 from the bank with an annual percentage rate (APR)
babymother [125]

Answer:

<em>The monthly payment is $450.71</em>

Step-by-step explanation:

<u>Financial Computing </u>

Given the loan amount A, the loan term t, and the APR (annual percentage rate), the montly payment is computed as

\displaystyle P=\frac{A}{f}

where f is

\displaystyle f=\frac{1-(1+i)^{-n}}{i}

The provided data is

\displaystyle A=24,000

\displaystyle r=4.8\%

\displaystyle t=5\ years

Since the payments will be made monthly, the values of n and i are:

\displaystyle i=\frac{4.8}{100\times12}=0.004

\displaystyle n=5\times12=60\ months

Calculating f:

\displaystyle f=\frac{1-(1+i)^{-n}}{i}

\displaystyle f=\frac{1-(1+0.004)^{-60}}{0.004}

\displaystyle f=53.25

Now for the payments:

\displaystyle P=\frac{24.000}{53.25}=450.71

\boxed{\displaystyle P=\$450.71}

5 0
4 years ago
The coordinates of △ABC△ABC are A(12,8), B(10,18), C(4,16)A(12,8), B(10,18), C(4,16). After a dilation, the coordinates are A'(6
mixer [17]
The scale factor is 1/2 because when you multiply the x and y-coordinates of each point by 1/2, you will get the coordinates of the new dilated points.
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3 years ago
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Question 3 of 33
Zinaida [17]

Answer:

B. Regular tessellation

6 0
3 years ago
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Square has a side length of (x-5). If the perimeter is 24, what is the<br> value of x? *
san4es73 [151]

Answer:

11 units

Step-by-step explanation:

<em>hey there,</em>

<em />

< A square has 4 sides that are all always equal to each other. The perimeter is all the sides summed up together. That means (for example), if one side of the square is 2 cm, then we know that the perimeter is 8 cm, because 2 + 2 + 2 + 2 = 8 (or 2×4=8).

Here we are given that one side is equal to "x-5". Pretend that is a number and solve as I did just right above:

(x-5)×4 = 4x -20

Now we know that the perimeter is (4x-20) units (when you don't know what the units are then just put "units").

We also know that the perimeter can be a number which is 24. That means these two values are equal to each other.

4x-20 = 24

Now solve! Bring x to one side, and all the numbers to the other side.

4x = 44

x = 11

We now know that the value of one side of the square (x) is equal to 11 units. >

<u>Hope this helped! Feel free to ask anything else.</u>

6 0
4 years ago
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