Morgan purchased an investment property five years ago for $$625,000.$ Other similar properties have increased in value an average of $4\mathrm{.}5$ percent per year over this five$-$year period. Assume annual compounding.

The following parts are to answer this question:

A$.$ What would have been the estimated price of this property $1$ year after Morgan purchased it$?$

options:

$$700,875\mathrm{.}00$

$$691,625\mathrm{.}00$

$$661,047\mathrm{.}52$

$$653,125\mathrm{.}00$

$$765,750.$What would have been the estimated price of this property $2$ years after Morgan purchased it$?(1$ Mark$)$

options:

$$682,515\mathrm{.}63$

$$708,831\mathrm{.}88$

$$778,367\mathrm{.}50$

$$627,914\mathrm{.}38$

$$694,966\mathrm{.}14$

C$.$What would have been the estimated price of this property $5$ years after Morgan purchased it$?(1$ Mark$)$

options:

$$864,151\mathrm{.}00$

$$673,854\mathrm{.}58$

$$734,458\mathrm{.}84$

$$742,700\mathrm{.}03$

$$778,863\mathrm{.}71$