Respuesta :
Answer:
Present Value Years Interest Rate Future Value
1. $490 9.84 10% $1,252
2. $740 7.80 11% $1,670
3. $17,700 16.86 16% $216,050
4. $20,800 20.74 13% $262,330
Explanation:
Present Value Years Interest Rate Future Value
1. $490 x 10% $1,252
2. $740 x 11% $1,670
3. $17,700 x 16% $ 216,050
4. $20,800 x 13% $ 262,330
Solution
1.
FV = PV x ( 1 + r )^n
1252 = 490 x ( 1 + 0.1 )^n
1252 / 490 = 1.1^n
2.5551 = 1.1^n
log 2.5551 = n log 1.1
n = log 2.5551 / log 1.1
n = 9.84
2.
FV = PV x ( 1 + r )^n
1670 = 740 x ( 1 + 0.11 )^n
1670 / 740 = 1.11^n
2.2568 = 1.11^n
log 2.2568 = n log 1.11
n = log 2.2568 / log 1.11
n = 7.8
3.
FV = PV x ( 1 + r )^n
216,050 = 17,700 x ( 1 + 0.16 )^n
216,050 / 17,700 = 1.16^n
12.2062 = 1.16^n
log 12.2062 = n log 1.16
n = log 12.2062 / log 1.16
n = 16.86
4.
FV = PV x ( 1 + r )^n
262,330 = 20,800 x ( 1 + 0.13 )^n
262,330 / 20,800 = 1.13^n
12.612 = 1.13^n
log 12.612 = n log 1.13
n = log 12.612 / log 1.13
n = 20.74