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#7 April 8 Exponential Growth and Decay

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Write an exponential growth function to model the situation. (Example Answer:

)

initial growth: 100

growth rate: 5%

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2.

Write an exponential growth function to model the situation. (Example Answer:

)

initial growth: 2,000

growth rate: 6%

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Write an exponential growth function to model the situation. (Example Answer:

)

initial growth: 50

growth rate: 75%

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4.

Calculate the given interest period to an investment compounded annually. DO NOT round anything until you get to your final answer. Then round to the nearest hundredth.

Principal: $10,000

Annual Interest: 3.5%

Number of years: 5

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5.

Calculate the given interest period to an investment compounded semi-annually. DO NOT round anything until you get to your final answer. Then round to the nearest hundredth.

Principal: $10,000

Annual Interest: 3.5%

Number of years: 5

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Based on questions 4 and 5, is it better to compound annually or semi-annually? And by how much? (Example Answer: semi-annually, $12.34)

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7.

What is the difference in the value after 10 years of an initial investment of $2,000 at 5% annual interest, when the interest is compounded quarterly rather than annually?

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8.

Write an exponential decay function to model each situation. (Example Answer:

initial value: 5,000

Decay rate: 30%

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9.

Given the exponential decay function in question #8, what is the value of x for the given value of f(x). Put answer as nearest approximate whole number. (Example Answer:

)

f(x)=100

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Write an exponential decay function to model each situation. (Example Answer:

initial value: 1,200

Decay rate: 12.5%

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11.

Given the exponential decay function in question #10, what is the value of x for the given value of f(x). Put answer as nearest approximate whole number. (Example Answer:

)

f(x)=450

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12.

What is the average rate of change over the given interval of the exponential decay function? Round to the nearest hundredth if needed.

Initial value: 25

Decay percentage: 20%

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13.

What is the average rate of change over the given interval of the exponential decay function? Round to the nearest hundredth if needed.

Initial value: 25

Decay percentage: 20%

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Looking at the previous 2 questions, what is the difference in the average rate of change from

and
?