i need this question answered extremely fast

Question

You deposit $10000 in an account earning 6% interest compounded continuously. The amount of money in the account after tt  years is given by A(t)=10000e^0.06t

How much will you have in the account in 9 years? $ Round your answer to 2 decimal places.

How long will it be until you have $13200 in the account?  how many years. Round your answer to 2 decimal places.

How long does it take for the money in the account to double?  in how many years. Round your answer to 2 decimal places.

Answer 1

13200=10000e^.06t

1.32 = e^.06t

ln1.32 =.06t

t = ln1.32/.06 = about 4.6272= 4.63 years

a little over 4 3/5 years to turn $10,000 into $13,200

to double the money to $20,000

2 = e^.06t

ln2 = .06t

t = ln2/.06 = a little over 11.55 years

in 9 years

A=10000e^.06(9) = $17,160.01