The equation Upper A left parenthesis t right parenthesis equals 2000 e Superscript 0.055 t gives the balance after t years of an initial investment of 2000 dollars which pays 5.50% compounded continuously. a. Find a formula for StartFraction dA Over dt EndFraction b. Find and interpret Upper A prime left parenthesis 8 right parenthesis. Include appropriate units. c. Compare the approximation of $171 to the actual change. Report your answer to two decimal places.

a) Rate of change of amount

b) &170.79

c) 0.21

Step-by-step explanation:

We are given the following in the question:

The balance is given by the equation:

where t is the time in years and the initial investment is $2000 when compounded continuously.

a) Rate of change of amount

b) We have to find the value of A'(8)

Interpretation:

The future value of 9 year investment of $2000 will be $170.79 more than the future value of 8 year investment.

c) Comparison

Approximation = $171

Actual change = $170.79

Difference =

Thus, the error is 0.21

ljn

step-by-step explanation:

okay..i will pick 8!