(1) M(t) is the amount of money in a. bank account at time t [in months). r{t) = M'(t) is the rate of change of that amount of money. Suppose we know that r(t) = e . Suppose the initial amount of money is $1000. {a} Use the given information to nd a formula for M (t). 0.2! {b} How much money will be in the account in 10 months? 10 { ] ompute / 60'\" (ii. What does this integral tell you about the account? Is your answer consistent o with your answer to parts '3'? and ??? (d) When will amount of money in the account reach 3 2000