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Nataly [62]
2 years ago
11

Rachel Davis buys a $20,000 property. She puts down $1,000, with the balance to be repaid over 20 years at 12% interest. Her mon

thly payments are $209.38.
What is the approximate amount of interest paid on the loan at its maturity?
Business
1 answer:
jonny [76]2 years ago
4 0

Answer:

approximate amount of interest paid $31,500

Explanation:

given data

buys property = $20,000

puts down =  $1,000

interest = 12 %

time = 20 year = 20 × 12 = 240 months

monthly payments = $209.38

solution

we get here total payment will be = $209.38 × 240 monthly

total payment = $50,251.20

so amount of interest paid on loan at maturity will be as

amount of interest paid = total payment  - buys property - puts down

amount of interest paid = $50,251.20 - $20,000 - $1,000

amount of interest paid = $31,251.20

so approximate amount of interest paid $31,500

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Suppose that the firm you manage faces the following costs:
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Answer:

d. $3

Explanation:

Quantity       Total Cost             Fixed cost     Total var.       marginal cost

0                         $3                          $3                    0                   0

1                          $5                          $3                  $2                  $2

2                         $7                          $3                    $4                  $2

3                         $10                        $3                    $7                  $3

4                         $15                       $3                    $12                 $5

the variable cost of the third unit is equal to the marginal cost of producing it.

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2 years ago
You run a manufacturing facility that makes roller skates. Fixed monthly cost is $50,000 in mortgage, $3,000 per employee on ave
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Answer:

At producing 14,286 skates

Explanation:

3 0
2 years ago
On January 1, Boston Company completed the following transactions (use a 7% annual interest rate for all transactions): (FV of $
kodGreya [7K]

Answer:

This question is incomplete, here's the remaining part to complete the question:

1. In transaction (a), determine the present value of the debt.

2-a. In transaction (b), what single sum amount must the company deposit on January 1,?

2-b. What is the total amount of interest revenue that will be earned?

3. In transaction (c), determine the present value of this obligation.

4-a. In transaction (d), what is the amount of each of the equal annual payments that will be paid on the note?

4-b. What is the total amount of interest expense that will be incurred?

Explanation:

a) A sum of $6,000 is to be paid at the end of each year for 7 years and the principal amount $115,000 to be paid at the end of 7th year.

PV=$6,000/(1+0.07)^1 + $6,000/(1+0.07)^2 +$6,000/(1+0.07)^3 +$6,000/(1+0.07)^4 +$6,000/(1+0.07)^5 +$6,000/(1+0.07)^6 +$6,000/(1+0.07)^7 +$115,000/(1+0.07)^7

PV=$5,607.47 + $5,240.63 + $4,897.78 + $4,577.37 + $4,277.91 + $3,998.05 + $3,736.49 + $71,616.22

PV=$103,951.92

b) Let the single sum that will grow to $490,000 at 7% interest per annum at the end of 8 years be X

FV=PV(1+i)^n

$490,000 = X(1+0.07)^8

Thus,

X= $490,000/(1.07)^8

X = $490,000/1.7182

X = $285,182

Thhus, a single sum of $285,182 needs to be deposited for 8 years at 7% interest p.a.

The total amount of interest revenue is ($490,000-$285,182) = $204,818

c) PV = $75,000/(1.07)^1 + $112,500/(1.07)^2 + 150,000/(1.07)^3

PV = $70,093.45 + $98,261.85 + $122,444.68

= $290,800

FV =$75,000*(1.07)^1 + $112,500*(1.07)^2 + 150,000*(1.07)^3

= $80,250 + $85,867 + $91,878

= $257,995

d) The cost of the machine is $170,000. Immediate cash paid $34,000. Loan Amount is ($170,000-$34,000)=$136,000

The PVA factor at 7% p.a compounded annually for 5 years is 4.1002

Thus, the PMT = 136,000/4.1002

= $33,169

Thus, the amount of each annual payment is $33,169 for 5 years.

The total amount to be paid is ($34,000+$33,169*5)

=$34,000+$165845

=$199845

The interest expense is ($199845 - $170,000)

= $29,845

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5 0
2 years ago
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