# Shota invests 00 in a certificate of deposit that earns 2%, percent in interest each year. Write a function that gives the total value V(t) in dollars, of the investment t years from now.

For this case we have a function of the form:  y = A (b) ^ t  Where,  A: initial amount  b: growth rate  t: time  Substituting values we have:  V (t) = 2000 (1.02) ^ t  Answer:  a function that gives the total value V (t) in dollars, of the investment t years from now is:  V (t) = 2000 (1.02) ^ t

The value after t years will be given by compound interest formula given by: A=P(1+r)^n where: A=future value P=principle r=rate n=number of years Thus plugging in our values we get: V(t)=2000(1+2/100)^t simplifying this gives us: V(t)=2000(1.02)^t Answer: V(t)=2000(1.02)^t

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