Posted by James on .
A person deposits money into a retirement account, which pays 7% interest compounded continuously, at a rate of $1000 per year for 20 years. Calculate:
a. The balance of the account at the end of 20 years
b. the amount of money actually deposited into the account
c. the interest earned during the 20 years.
I think i know that for part a you use the integral to find the future value maybe, but i have no idea how to do b or c

Calc 
FredR,
compound interest formula is:
FV=PV(1+(r/n))^(nT)
As n approaches infinity, this formula becomes:
FV=PV*e^(rt)
for the 1st $1000 invested:
FV=1000*e^(.07*20)
for the 2nd $1000 invested:
FV=1000*e^(.07*19)
and so on for 20 years. The sum total of future values minus $20,000 deposited is the interest earned in the 20 years. 
Calc 
Kati,
a.) $43,645.71
b.) just do 1000*20 =20,000
c.) ab (43,645.7120,000=23645.71)