Home At time k 0 an initial investment of S 1200 s made into a savings account that pays 6% interest compounded monthly after the initial investment, an additional $250 is added to the account Let y, be the amount in the account at the end of k months The monthly interest rate is 0 00 ments (a) Find a difference equation satisfied by y (b) How much money will be in the account after 3 years? After 4 years? Afer 6 years? How much of the 6-year total is interest? (a) Write the difference equation. ykn (1.005%) +250 Yo-1200 r Contents(b) tive eBook lan (Simplity your answers) (b) The amount of money that will be in the account after 3 years is s ook (Round to two decimal places as needed. Do not include the $ symbol in your answer) r Success