Jack has borrowed $$1,000,000$ from MQ Bank for $10$ years at an interest rate of j$2=4\mathrm{.}94\%.$ He will make $10$ annual repayments. According to the loan agreement, Jack's repayments will be $$82,000$ for the first two years followed by payments of with the amount of X per year for the remaining eight years. This loan needs to be fully repaid by the end of $10$ years.

$($a$)$ Assume that all annual repayments will be paid at the end of each year $($the first payment will be at the end of the first year$),$ what is the value of Jacks' annual payment amount X $($rounded to four decimal places$)?$

Question $7$Answer

a$.$

$144581\mathrm{.}1100$

b$.$

$130793\mathrm{.}2333$

c$.$

$144034\mathrm{.}7873$

d$.$

$131136\mathrm{.}8085$