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Part $1$

Consider a loan of $ $2100$ at $7\%$ compounded quarterly comma with $6$ quarterly payments. Find the following.

$($a$)$ the payment necessary to amortize the loan

$($b$)$ the total payments and the total amount of interest paid based on the calculated quarterly payments

$($c$)$ the total payments and total amount of interest paid based upon an amortization table.

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Part $1$

$($a$)$ The quarterly payment needed to amortize this loan is $$$

$$

enter your response here.

$($Round to the nearest cent as$$ needed.$)$