contestada

A person invests 4500 dollars in a bank. The bank pays 5.75% interest compounded semi-annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10000 dollars?

Respuesta :

Answer:

Around 10.6 years

Step-by-step explanation:

5.75% of 4500 is 258.75

then we will need to subtract the current amount from the final amount.

10000-4500=5500

next

5500/258.75=21.256

finally

21.256/2=10.628

The person leaves the money in the bank until it reaches 10000 dollars.

We have given that

A person invests 4500 dollars in a bank.

The bank pays 5.75% interest compounded semi-annually.

Therefore we have,

What is compounded semi-annually?

The principal of a loan or investment at the beginning of the compounding period, in this case, every six months, includes the total interest from each previous period

5.75% of 4500 is 258.75

[tex]=\frac{5.75}{100}\times 4500\\ =258.75[/tex]

Then we will need to subtract the current amount from the final amount.

10000-4500=5500

5500/258.75=21.256

21.256/2=10.628

The person leaves the money in the bank until it reaches 10000 dollars.

To learn more about  interest compounded semi-annually visit:

https://brainly.com/question/26875083