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Temka [501]
3 years ago
13

If you deposit $2000 in a savings account with an interest rate of r compounded annually, then the balance in the account after

3 years is given by the function B(c) = 2000(1 + r)3, where r is written as a decimal.. . . . . . What interest rate will yield a balance of $2300 after 3 years?. . . . . a. . . 4.55%. . . c. . . 4.67% . . . b. . . 3.25% . . d. . . 4.77% .
Business
1 answer:
BigorU [14]3 years ago
7 0
The future worth of the ) current investment with compounded interest is given by the equation,
                                      B(c) = P(1 + r)^3
From the given above,
                                      B(c) = 2000(1 + r)^3
The rate may be obtained by rearranging the equation,
                                       (1 + r)^3 = B(c) / 2000
                                  ((1 + r)^3)^1/3 = (B (c) / 2000) ^1/3
                                         r = (2300 / 2000)^1/3 - 1
The value of r is 0.477. Thus, the answer is letter D.. 

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The answer and procedures of the exercise are attached in the following archives.

Explanation  

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

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