Shirley, a recent college graduate, excitedly described to her older sister the $$1,890$ sofa, table, and chairs she found today. However, when asked she could not tell her sister which interest calculation method was to be used on her credit$-$based purchase. Calculate the monthly payments and total cost for a bank loan assuming a one$-$year repayment period and $13\mathrm{.}75$ percent interest. Now, assume the store uses the add$-$on method of interest calculation. Calculate the monthly payment and total cost with a one$-$year repayment period and $11\mathrm{.}75$ percent interest. Using the information above, how much interest will Shirley "save" or be rebated if she can repay the loans after six months? Note: Round intermediate computations to at least five $(5)$ decimal places.

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