Compute the geometric mean $($return$)$ and the final

balance after $5$ years on a $$1,200$ investment using the

following information: $($Year $4$ is Negative $18\%)$

$3$A$.$ What is the average rate of return for this investment

over the $5$ years? $($convert to $\%$ and round to $3$ decimal

places $-$ example $12\mathrm{.}063\%)$

$3$B$.$ If you invested $1,200$ at the beginning, how much

would your investment be worth after $6$ years $($round to the

nearest penny $($example $-$$$1,607\mathrm{.}45)?$

$($C$)$ Chris

O'Byrne $2024)$

Tuition in year $1$ were $$15,700$ and after $4$ years of

growth, tuition were $$24,800.$ What is the average growth

rate $($geometric mean$)$ over this $4-$year period of time?

$($convert to $\%$ and round to $3$ decimal places $-$ example

$12\mathrm{.}063\%$