$($Future value of an annuity$)$ In $9$ years, you are planning on retiring and buying a house in Oviedo, Florida. The house you are looking at currently costs $$150,000$ and is expected to increase in value

each year at a rate of $5$ percent. Assuming you can earn $9$ percent annually on your investments, how much must you invest at the end of each of the next $9$ years to be able to buy your dream home

when you retire?

a$.$ If the house you are looking at currently costs $$150,000$ and is expected to increase in value each year at a rate of $5$ percent, what will the value of the house be when you retire in $9$ years?

$($Round to the nearest cent.$)$