3 years ago

(FILL IN THE BLANK)

Mathematics

1 answer:

EleoNora [17]3 years ago

8 0

Initial value = 1
Rate of change = not sure
Domain = (-infinity, infinity)

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2 years ago

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anzhelika [568]

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a) The present value is 688.64 $

b) The accumulated amount is 1532.60 $

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a) The preset value equation is given by this formula:

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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 $

b) The accumulated amount of money flow formula is:

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

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!

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