An amount of $3000 is invested at an interest rate of 8% per year, compounded quarterly.

Find the value $A(t)$ of the investment after $t$ years.

$A(t) =$ dollars

Note: remember to express your function in the variable $t$.

Make a graph of $A(t)$. Which graph most closely resembles the graph of $A(t)$?
Note: you can click on the graphs to get a larger view.

Each graph goes to 50 on the $x$-axis and 42000 on the $y$-axis.


A.
B.
C.
D.


Use your graph of $A(t)$ to determine when this investment will amount to $35,000. Give your answer in years, correct to the nearest hundredth. You will have to zoom on your graph to determine the answer.

years