b$.$ Assume the house prices in your chosen area will appreciate by an average of $6\%$ p$.$a$.$ What will your $$500,000$ property be worth at the end of $6$

years?

c$.$ In $6$ years time you will purchase your chosen property. You will need to pay $10\%$ deposit and get a mortgage for the rest of the amount. You will use the $44,999\mathrm{.}78$ you have saved in your investment account and your parents will pay the rest of the deposit for you.

i$.$ Calculate the $10\%$ deposit.

ii$.$ Calculate the amount of each monthly repayment on the loan at $6\mathrm{.}1\%$ p$.$a$.$ repaid over $30$ years. obtain the expression for A$1,$ recognize the pattern in the expression An as a sum, produce and calculate geometric series by using the correct formula

iii. How much does the apartment cost now after $30$ years time?