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cupoosta [38]
3 years ago
11

Evelyn invests $5,000 in a savings account that pays interest at a rate of 6.7% compounded annually. If she withdraws half the i

nterest earned at the end of the third year, approximately how much additional interest does she earn during the fourth year
Business
1 answer:
My name is Ann [436]3 years ago
8 0

Answer:

$371

Explanation:

The computation of additional interest during the fourth year is shown below:

but before that we need to do the following calculations

Amount = Principal × (1 + (rate of interest ÷ (1 × 100)))^(1 × number of years)

A = $5,000 × (1 + (6.7% ÷ (1 × 100)))^(1 × 3)

= $5,000 × (1 + (6.7 ÷ 100))^(1 × 3)

= $5,000 × (1 + 0.067)^3

= $5,000 × (1.067)^3

= 5000 × 1.214

= $6,070

Now, Interest gained after 3 years on the amount of Principal is

= $6,070 - $5,000

= $1,070

Here Evelyn issued interest which is half that is earned at the end of the 3rd year

Sp,

Half of the interest gained will be

= $1,070 ÷ 2

= $535

Now,

The new Principal amount for 4th year is

= $6,070 - $535

= $5,535

So, the final amount in the fourth year is

A = P × (1 + (r ÷ n))^(nt)

= $5,535 × (1 + 0.067 ÷ 1 ]^(1 × 1)

= $5,535 × 1.067

= $5.905.845

Hence the additional interest in the fourth year is

= $5,905.845 - $5,535

= $370.845

or

= $371

Therefore for computing the additional interest during the fourth year we simply applied the above formula.

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You just took out a​ $12,000 loan for your small business. the loan has a four year term and repayment is in the form of four eq
umka2103 [35]
Answer:  $403.20

Explanation:


We use a mortgage calculator to calculate the interest paid in the final payment. Since each repayment is made at the end of year, the repayments are annual payments. So, the calculator should have an annual amortization schedule to solve the problem.

I used http://www.calculator.net/loan-calculator for the calculation because it has an annual payment schedule. Then, I went under the subtitle Paying Back a Fixed Amount Periodically because the payments are equal. In that online calculator, I just input these data:

- Loan Amount: $12,000
- Loan Term: 4 (Loan term is number of years to pay the loan)
- Interest Rate: 11.5%
- Compound: Annually (APY) 
- Pay Back: Every year

Then, I clicked the calculate button and view amortization table. The annual amortization schedule is attached in this answer. 

To determine the interest paid at the final payment, I looked at payment #4 because the final payment is at the 4th year. (The loan is paid in 4 annual payments).

As seen in the attached image, the interest paid in payment #4 is $403.20. Hence, the interest paid in the final payment is $403.20.

3 0
3 years ago
Baseball Corporation is preparing its cash budget for January. The budgeted beginning cash balance is $18,600. Budgeted cash rec
professor190 [17]

Answer:

Company should borrow = $15200

Explanation:

Below is the calculation for the borrowing amount:

Cash balance at the beginning = $18600

Add - Cash receipts = 186000

Less- Cash disbursements = (189200)

Budgeted cash balance = 18600 + 186000 - 189200 = 15400

Borrowing will be = Ending cash - 15400

Borrowing will be = 30600 - 15400

Borrowing will be = $15200

Company should borrow = $15200

6 0
3 years ago
Jason, your client, is developing a subdivision of 140 houses. He may place deed restrictions on as many as ______ properties.
kolbaska11 [484]

Jason, your client, is developing a subdivision of 140 houses. He may place deed restrictions on as many as 140 (100%) properties.

<h3>What is a deed restriction?</h3>

This is the term that is used to refer to the written agreements that are done in order to restrict and limit activities that may go on in a property.

These are private agreements that are made. It has to be 100 percent on the properties.

Read more on deed restrictions here:

brainly.com/question/4510408

#SPJ1

4 0
2 years ago
Read 2 more answers
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