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Solve the Problem p=p0ekq\mathrm { p } = \mathrm { p } _ { 0 } \mathrm { e } ^ { \mathrm { kq } }

question 106

Essay

Solve the problem.
-A music store manager collected data regarding price and quantity demanded of cassette tapes every week for
10 weeks, and found that the exponential function of best fit to the data was p = 25 ·0.89q. Express the function
of best fit in the form p=p0ekq\mathrm { p } = \mathrm { p } _ { 0 } \mathrm { e } ^ { \mathrm { kq } } , and use this expression to predict the quantity demanded if the price is $8.50.

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Definitions:

Interest Rate

The cost of borrowing money, typically expressed as a percentage of the principal, charged by lenders to borrowers for the use of assets.

Supply of Money

The overall pool of monetary resources in an economy at a given period.

Interest Rate

The cost of borrowing money or the return on savings, often expressed as a percentage of the principal.

Spending Multiplier

An economic concept indicating the ratio of change in aggregate income to an initial change in spending, illustrating how initial spending leads to increased total spending.

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