Solve for the unknown number of years in each of the following (Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16.):
Present Value Years Interest Rate Future Value
$600 8% $1,393
850 12 2,330
18,800 18 367,247
21,900 14 382,983

Answer:1)10.94years , 2.) 8.90 years 3) 17.96years  4) 21.84years

Explanation:

Using the formula

FV = PV (1 + r)ⁿ

where

PV=present value

r=interest rate

n =number of periods

FV = future value.

Present Value Years Interest Rate Future Value

$600             ?                    8%                  $1,393

850               ?                      12                   2,330

18,800               ?                 18                    367,247

21,900           ?                     14                      382,983

Using FV = PV (1 + r)ⁿ, The number of years can be calculated

FV/PV = (1 + r)ⁿ

FV/PV/ 1+r = eⁿ

In FV/PV / In ( 1+ r) = n

1)

n ( Number of years )=In FV/PV / In ( 1+ r)

=In ( 1,393/600) / In ( 1+ 0.08)

       0.84228/0.07696

       =10.94years

2.

n ( Number of years )=In FV/PV / In ( 1+ r)

=In (2330/850) / In ( 1+ 0.12)

       1.00837625/0.113328685

       =8.90 years

3.

n ( Number of years )=In FV/PV / In ( 1+ r)

=In (367,247/ 18,800) / In ( 1+ 0.18)

       2.97217778/0.165514438

       =17.96years

4.

n ( Number of years )=In FV/PV / In ( 1+ r)

=In ( 382,983/ 21,900) / In ( 1+ 0.14)

       2.86150396/0.131028262

       =21.84 years

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