# Continuous money flow

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##### Intros

##### Examples

###### Lessons

**Present and Future value**Patsy deposits $10000 into a savings account each year for a total of 10 years. If the account earns an interest rate of 10% compounded continuously:

i) Find the present value

ii) Find the future value

Suppose the revenue stream is the function $f(t) = 100e^{.02t}$, where $t$ is in years, for a total of 6 years. If the money can earn 3% annual interest compounded continuously:

i) Find the present value

ii) Find the future value

- Suppose the revenue stream is the function $R(t) = 1 + t$, where $t$ is in years, for a total of 5 years. If the money can earn 4% annual interest compounded continuously, find the present value.