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Leno4ka [110]
2 years ago
5

Please help !!!! i’ll give brainliest !!!!!

Mathematics
1 answer:
anyanavicka [17]2 years ago
5 0

Answer:

approx. 56.72 square inches

Step-by-step explanation:

A= 2πrh + 2πr2 = 2·π·1.15·6.7+2·π·1.152 ≈ 56.72146

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b) The accumulated amount is 1532.60 $

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<u>a)</u><u> The preset value equation is given by this formula:</u>

P=\int^{T}_{0}f(t)e^{-rt}dt

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  • r is the annual interest rate (r=0.08)

So we have:

P=\int^{T}_{0}(0.01t+100)e^{-rt}dt

Now we just need to solve this integral.

P=\int^{T}_{0}0.01te^{-rt}dt+\int^{T}_{0}100e^{-rt}dt

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The present value is 688.64 $

<u>b)</u><u> The accumulated amount of money flow formula is:</u>

A=e^{r\tau}\int^{T}_{0}f(t)e^{-rt}dt

We have the same equation but whit a term that depends of τ, in our case it is 10.

So we have:

A=e^{r\tau}\int^{T}_{0}(0.01t+100)e^{-rt}dt=e^{0.08\cdot 10}P

A=e^{0.08\cdot 10}688.64=1532.60 $

The accumulated amount is 1532.60 $

Have a nice day!

6 0
3 years ago
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