Accumulated amount of money flow at time t. assume that function gives the rate of flow of money in dollars per year over the given period, with continuous compounding at the given annual interest rate. find the accumulated amount of money flow at the end of the time period.
f(t)=1000 + 200t, 10 years, 9%.

Step-by-step explanation:

The accumulated amount of money flow equation is:

(1)

Where:

Then we have:

(2)

Let's solve the integral. We can separate the functions and then use change variable and integration by parts.

Now, we need to evaluate these integrals.

Finally the the accumulated amount of money flow will be:

Using (2),

I hope it helps you!    

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step-by-step explanatio89