You deposit $5000 in an account earning 2% interest compounded continuously. How much will you have in the account in 15 years?

The compound interest is given by:

A=p (1+r/100) ^n

where:

A=future amount

p=principle

r=rate

n=time in years

Therefore given that, p=$5000, r=2% and n=15 years, the amount after 15 years will be:

A=5000 (1+2/100) ^15

A=5000 (1+0.02) ^15

A=5000 (1.02) ^15

A=6,729.34

We conclude that the amount after 15 years will be $6,729.34