A person invests 8000 dollars in a bank. The bank pays 5% interest compounded monthly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14100 dollars?

Respuesta :

Answer:

3 years

Step-by-step explanation:

To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14100 dollars is: 11.6.

Time

Using this formula

A=P(1+r/n)^nt

Let plug in the formula

14,100=8000(1+0.05)^t

(1+0.05)^t=14,100/8000

(1+0.05)^t=1.7625

1.05^t=1.7625

t=log(1.7625)/log(21/20)

t=0.246/0.021189

t=11.6

Therefore how long must the person leave the money in the bank until it reaches 14100 dollars is: 11.6.

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