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Eddi Din [679]
3 years ago
5

1. What is the lowest balance during this period?

Business
1 answer:
RSB [31]3 years ago
4 0
Actually for this type of question simply take a picture
Yah and the and is use a calculater
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You can invest in an account that pays simple interest or an account that pays compound interest. In either case, you plan to in
trasher [3.6K]

Answer:

You will receive $201.38 more interest if the investment is made with a compound interest rate rather than a simple interest rate.

Explanation:

<u>Simple interest rate</u>

We can calculate how much interests you'd obtain if you deposited the $2,600 in a simple interest rate account.

We start using the following formula for calculating the simple interests:

I=P * r

Where:

<em>I</em> are the interests per year,

<em>P</em> is the amount being invested,

<em>r</em> is the interest rate.

Replacing in the formula with the given values we have:

I=2600*0.05=130

We then proceed to multiply this result by the <em>given number of years</em>, which is 8. We get 130*8=1040.

Finishing with the <em>simple interest rate</em>, if we wanted to know how much is the investment worth at the end of a 8 year period, we must merely add <em>the principal</em> (the $2,600) to the total interests after the end of the period ($1040). So 2600+1040= 3640.

We'll use these results later.

<u>Compound interest rate</u>

The formula for compound interests is the following:

I=P(1+r)^n

Where:

<em>I</em> is the value of the investment after <em>n</em> years,

<em>P</em> is the principal amount being invested,

<em>r</em> is the interest rate,

<em>n</em> are the number of years the investment is compounded.

Replacing in the formula with the given values we have:

I=2600*(1+0.05)^8=3841.38

After the 8 year period, the investor will have $3841.38 in it's compounded interest account.

<u>Comparing these results</u>

<u></u>

We can simply substract the value of both investments at the end of a 8 year period, to determine how much more interest does the compound interest rate account give in relation to a simple interest rate account.

The values we've gotten were:

$3,640 for the simple interest rate account, and

$3,841.38 for the compounded interest rate account.

3841.38-3640=201.38. Therefore the answer is: the account that pays compounded interests will pay $201.38 more to this invididual, compared to an account that pays simple interest.

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