(Future value)  You are hoping to buy a house in the future andrecently received an inheritance of ​$16,000. You intend to useyour inheritance as a down payment on your house. a.  If you putyour inheritance in an account that earns 8 percent interestcompounded​ annually, how many years will it be before yourinheritance grows to ​$35,000​? b.  If you let your money grow for10 years at 8 percent​, how much will you​ have? c.  How long willit take your money to grow to ​$35,000 if you move it into anaccount that pays 3 percent compounded​ annually? How long will ittake your money to grow to ​$35,00 if you move it into an accountthat pays 13 percent​? d.  What does all this tell you about therelationship among interest​ rates, time, and future​ sums?