Suppose you invest $2000 at an annual interest rate of 5.1% compounded continuously. how much will you have in the account after 3 years?

We are given

initial amount is $2000

so,

annual interest rate is 5.1%

so,

time is 3 years

so,

it is compounded continuously

so, we can use amount formula

where A is amount after t years

P is initial amount

r is interest rate

t is time in years

now, we can plug values

we get

So, Amount after 3 years is $2330.65.........Answer