Amarjeet graduated from the University of Calgary on May $2$ and has student loans totalling $$39,000\mathrm{.}00.$ The prime rate upon graduation was $4\mathrm{.}5\%.$ He has decided to pay in full the interest charged during the grace period $($i$.$e$.,$ he is not converting it to principal$)$ before starting monthly payments of $$800\mathrm{.}00$ at the fixed interest rate. Complete the table below, including calculations for the grace period and the first three months of his repayment schedule.

$($Round all monetary values to the nearest penny.$)$

$($Use a minus sign before the dollar sign to denote a negative monetary value. For example, $-$$$149\mathrm{.}63.)$

$($Give all $$Number of Days$$ quantities as fractions with denominator $365.)$

Date Balance

before

Transaction Annual

Interest

Rate Number

of Days Interest

Charged Accrued

Interest Payment

$(+)$ or

Advance

$(-)$ Principal

Amount Balance after

Transaction

June $1$ $$39,000\mathrm{.}00$

Nov $30$

$($inclusive$)$

$7\%$

$$0\mathrm{.}00$

Dec $31$

$9\mathrm{.}5\%$

$$800\mathrm{.}00$

Jan $31$

$9\mathrm{.}5\%$

$$800\mathrm{.}00$

Feb $29$

$9\mathrm{.}5\%$

$$800\mathrm{.}00$