The following table shows annual rates for various types of loans in $2021.$ Assume monthly payments and compounding periods. HINT $[$See Examples $5$ and $7.]$

Loan

Type $30-$Year

Mortgage $15-$Year

Mortgage New Car

Loan Used Car

Loan Credit

Cards

Rate $3\mathrm{.}03\%2\mathrm{.}30\%9\mathrm{.}20\%9\mathrm{.}45\%13\mathrm{.}99\%$

You purchased a new car using a $5-$year $$50,000$ loan in $2021.$ With the same monthly payments, how much could you have financed had the interest rate been $9\mathrm{.}00\%?($Do not round the payment amount to the nearest cent. Round the final amount you could have financed to the nearest cent.$)$

$

With the same monthly payments, how much could you have financed had the interest rate been $9\mathrm{.}50\%?($Do not round the payment amount to the nearest cent. Round the final amount you could have financed to the nearest cent.$)$

$