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Exponential function models the annual rate of increase. Find the monthly and quarterly rates​

Exponential function models the annual rate of increase. Find the monthly and quarterly-example-1
User Borut Flis
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1 Answer

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Answer:

1. monthly: 0.25%; quarterly: 0.75%

2. monthly: ≈ 0.45833%; quarterly: 1.375%

Explanation:

In each case, the base of the exponential term is the annual growth factor. The annual growth rate (interest rate) is ...

growth rate = growth factor - 1

Then the monthly rate is ...

monthly rate = growth rate/12

and the quarterly rate is ...

quarterly rate = growth rate/4

__

1. monthly rate = (1.03 -1)/12 = 0.03/12 = 0.0025 = 0.25%

quarterly rate = (1.03 -1)/4 = 0.03/4 = 0.0075 = 0.75%

__

2. monthly rate = (1.055 -1)/12 = 0.055/12 ≈ 0.0045833 = 0.45833%

quarterly rate = (1.055 -1)/4 = 0.055/4 = 0.01375 = 1.375%

User Alana
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