Problem $1(10$ points$)$: This involve credit cards that calculate interest using the average daily balance method. The monthly interest rate is $1\mathrm{.}5\%$ of the average daily balance. It shows transactions that occurred during March $1-$ March $31$ billing period:

a$.$ Find the average daily balance for the billing period $($round to nearest cent$)$

b$.$ Find the interest to be paid on April $01,$ the next billing date. $($round to nearest cent$)$

c$.$ Find the balance due on April $01$

d$.$ This credit card requires a $$10$ minimum monthly payment if the balance due at the end of the billing period is less than $$360.$ Otherwise, the minimum monthly payment is $\frac{1}{36}$ of the balance due at the end of the billing period $($round to nearest whole dollar$).$ What is the minimum monthly payment due by April $09?$

$\backslash$table$[[$Transaction Description,Transaction Amount$],[$Previous balance $$6,240\mathrm{.}00,],[$March $01$ Billing Date,$$300\mathrm{.}00$ Credit$],[$March $05$ Payment,$$40\mathrm{.}00$