The equation used to determine the amount A in an account after t years of continuous compounding is A = Pe^rt, where P represents the principal (or original) amount in the account and rrepresents the annual interest rate as a decimal. Six years ago, Dimitri invested $5,000 in an account in which
the interest is compounded continuously at an annual interest rate of 5.2%

a) Determine the current amount of money in the account.

b) How many years will it take Dimitri’s account to reach $7,500 (Round your answer to the nearest thousandth)