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kompoz [17]
3 years ago
8

The Cotton family purchases a glass sculpture in the shape of a rectangular pyramid. The base measures 7 1/2 inches by 5 inches.

If the volume of the sculpture is 75 cubic inches, what is the height of the pyramid, in inches?
Mathematics
1 answer:
maria [59]3 years ago
6 0

Answer:

H = v / (L x W) / 3

H = 75 / (37.5) / 3

H = 75 / 12.5

H = 6 inches

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4 0
2 years ago
Charlie cannot remember how much he financed to buy his car. He does remember that his monthly payment is $200. His add-on inter
Mazyrski [523]
First find the total payments
Total paid
200×30=6,000 (this is the future value)

Second use the formula of the future value of annuity ordinary to find the monthly payment.
The formula is
Fv=pmt [(1+r/k)^(n)-1)÷(r/k)]
We need to solve for pmt
PMT=Fv÷[(1+r/k)^(n)-1)÷(r/k)]
PMT monthly payment?
Fv future value 6000
R interest rate 0.09
K compounded monthly 12
N=kt=12×(30months/12months)=30
PMT=6000÷(((1+0.09÷12)^(30)
−1)÷(0.09÷12))
=179.09 (this is the monthly payment)

Now use the formula of the present value of annuity ordinary to find the amount of his loan.
The formula is
Pv=pmt [(1-(1+r/k)^(-n))÷(r/k)]
Pv present value or the amount of his loan?
PMT monthly payment 179.09
R interest rate 0.09
N 30
K compounded monthly 12
Pv=179.09×((1−(1+0.09÷12)^(
−30))÷(0.09÷12))
=4,795.15

The answer is 4795.15
5 0
3 years ago
Devon drank 5/6 of her juice. What is this amount as a decimal?
ivann1987 [24]
Answer: 0.8333333333...
7 0
2 years ago
Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your
Pie

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4 0
3 years ago
Melinda spend 4 hours reviewing for her midterm exams. She spend 1/4 of the time studying for social studies. How many hours did
galben [10]
Hello!

To find this you have to divide the total number of hours studied by the time spent studying social studies

This can be done by does 4 * 0.25 = 1

The answer is 1 hour

Hope this helps!
3 0
3 years ago
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