If the rate of inflation is \( 2.2 \% \) per year, the future price \( p(t) \) (in dollars) of a certain item can be modeled by the following exponential function, where \( t \) is the number of years from today. \[ p(t)=1200(1.022)^{t} \] Find the current price of the item and the price 8 years from today. Round your answers to the nearest dollar as necessary. \begin{tabular}{|l|}\hline Current price: \\ Price 8 years from today: \( s \square \)\end{tabular}

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If \( \$ 6000 \) is invested in a bank account at an interest rate of \( 6 \% \) per year, Find the amount in the bank after 6 years if interest is compounded annuall 8511.11 Find the amount in the bank after 6 years if interest is compounded quaterly Find the amount in the bank after 6 years if interest is compounded monthly

If \( \$ 3000 \) is invested in a bank account at an interest rate of \( 9 \% \) per year, Find the amount in the bank after 5 years if interest is compounded annually: Find the amount in the bank after 5 years if interest is compounded quaterly: Find the amount in the bank after 5 years if interest is compounded monthly: Finally, find the amount in the bank after 5 years if interest is compounded continuou

Suppose Lisa borrows \( \$ 7500 \) at an interest rate of \( 4 \% \) compounded each year. Assume that no payments are made on the loan. Follow the instructions below. Do not do any rounding. \[ \begin{array}{l}\text { (a) Find the amount owed at the end of } 1 \text { year. } \\ \text { (b) Find the amount owed at the end of } 2 \text { years. }\end{array} \]

The Franklins bought a house for \( \$ 262,000 \). They put \( 20 \% \) down and financed the rest with a thirty-year loan at \( 5 \frac{3}{8} \% \). (a) Find their monthly payment. (Round your answer to the nearest cent.) \( \$ 1173.70 \) (b) If they paid an extra \( \$ 85 \) per month, how early would their loan be paid off? (HINT: This involves some trial-and- (Hr