Each year, $$6,500$ is invested at $3\%$ annual compound interest.

a$.$ What is the value of the investment portfolio

after $20$ years? $

After $25$ years? $

After $30$ years? $

b$.$ Repeat part $($a$)$ with the investment at $4\%$ annual compound interest.

After $20$ years? $

After $25$ years? $

After $30$ years? $

c$.$ Based upon your answers to $($a$)$ and $($b$),$ what conclusions can be drawn regarding the impact of the interest earned versus

the duration of the investment?

increase in interest rate increases the accumulated investment value