Sierra took out a $$38,000$ student loan with a fixed interest rate to pay for college. Sierra did not make payments on her loan for a period of $9$

years. After this time period interest had accrued, resulting in the loan balance increasing to $$69,000.$

a$.$ What is the $9-$year growth factor for the amount that Sierra owes on the loan?

b$.$ What is the $9-$year percent change for the amount that Sierra owes on the loan?

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c$.$ What is the $1-$year growth factor for the amount that Sierra owes on the loan?

d$.$ What is the $1-$year percent change for the amount that Sierra owes on the loan?

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