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Goshia [24]
3 years ago
14

the value of a particular investment follows a pattern of exponential growth. in the year 2000, you invested money in a money ma

rket account. the value of your investment t years after 2000 is given by the exponential growth model a=3500e0.067t. by what percentage is the account increasing each year?
Mathematics
1 answer:
NemiM [27]3 years ago
5 0

Answer:

The account increases at the rate of 6.7% a year.

Step-by-step explanation:

An exponential growth model has the following format:

A(t) = A(0)e^{rt}

In which r is the decimal rate of growth of the model.

In this problem, we have that:

A(t) = 3500e^{0.067t}

0.067 = 6.7%

The account increases at the rate of 6.7% a year.

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The effective rate is calculated in the following way:
r =  {(1 +  \frac{i}{n} )}^{n} - 1
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