$1.$ If you deposited $$2,000$ today in an account that gave you $5\%$ APR compounded interest, how much would you have in $10$ years?$($show work$)2.$Suppose you want $$5,000$ in your bank account when you graduate in four years, how much would you have to invest today at $7\%$ APR to get it$?($show work$)3.$If you have a bank account with a balance of $$200$ how long would it take you to have a balance of $$400$ if the bank gave you $8\%$ APR? $($show work$)4.$ What is the present value of $$800$ dollars received at the end of the next $8$ years at a discount rate of $15\%?($show work$)5.$ If an investment is paying $12\%$ annual for the next $7$ years, how much would you have if you invest $$700$ annually? $($show work$)$