A check$-$cashing store is in the business of making personal loans to walk$-$up customers.

The store makes only one$-$week loans at $7\mathrm{.}5$ percent Interest per week.

a$.$ What APR must the store report to its customers? What EAR are customers actually

paying? $($Do not round intermediate calculations and enter your answers as a

percent rounded to $2$ decimal places, e$.$g$.,3216.)$

b$.$ Now suppose the store makes one$-$week loans at $7\mathrm{.}5$ percent discount interest per

week. What's the APR now? The EAR? $($Do not round intermedlate calculations and

enter your answers as a percent rounded to $2$ decimal places, e$.$g$.,3216.)$

c$.$ The check$-$cashing store also makes one$-$month add$-$on Interest loans at $7\mathrm{.}5$ percent

discount Interest per week. Thus if you borrow $$140$ for one month $($four weeks$),$ the

Interest will be $($$$140{1\mathrm{.}075}^4)-$$$140=$$$46\mathrm{.}97.$ Because thls is discount interest, your

net loan proceeds today will be $$93\mathrm{.}03.$ You must then repay the store $$140$ at the

end of the month. To help you out, though, the store lets you pay off this $$140$ in

installments of $$35$ per week. What is the APR of this loan? What is the EAR? $($Do not

round intermediate calculations and enter your answers as a percent rounded to $2$

decimal places, e$.$g$.,3216.)$