1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andriy [413]
3 years ago
11

You have an outstanding student loan with required payments of $500 per month for the next four years. The interest rate on the

loan is 9% APR​ (compounded monthly). Now that you realize your best investment is to prepay your student​ loan, you decide to prepay as much as you can each month. Looking at your​ budget, you can afford to pay an extra $ 175 a month in addition to your required monthly payments of $500​, or $675 in total each month. How long will it take you to pay off the​ loan?
Business
1 answer:
irina [24]3 years ago
5 0

Answer:

<em>n = 33.8108479</em>

Explanation:

We will calculate the current principal

And then calculate the time period it takes with a higher payment of 675 dollars per month:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C $ 500

time      48 ( 4 years x 12 months per year)

rate 0.0075 (9% annual divide by 12 months)

500 \times \frac{1-(1+0.0075)^{-48} }{0.0075} = PV\\

PV $20,092.3909

Now we recalculate n:

C \times \frac{1-(1+r)^{-time} }{rate} = PV\\

C  $675.00

time n

rate    0.0075

PV $20,092.3900

675 \times \frac{1-(1+0.0075)^{-n} }{0.0075} = 20092.39\\

<u>from the annuity formula we solve as we can until arrive at this situation:</u>

(1+0.0075)^{-n}= 1-\frac{20092.39\times0.0075}{675}

(1+0.0075)^{-n}= 0.77675122

<u>We use logarithmics properties to solve for n:</u>

-n= \frac{log0.77675122}{log(1+0.0075)}

<em>n = 33.8108479</em>

You might be interested in
2. Fiscal policy Suppose a hypothetical economy is currently in a situation of deficient aggregate demand of $32 billion. Four e
Umnica [9.8K]

Answer:

For the Economist A the spending multiplier  is = 8, the tax multiplier = 4, the increase in spending is = $4 billion, the tax cut is = $8 billion.

For the Economist B, the spending multiplier is =4, the tax multiplier = 2, the increase in spending is = $8 billion, the tax cut is = $16 billion.

Explanation:

Solution

Given that:

(1)The Economist A

The Spending multiplier = 8

In closing the output gap of $32 billion, required increase in spending = $32 billion / 8 = $4 billion

Thus,

The tax multiplier = 4

To close output gap of $32 billion, required decrease in tax = $32 billion / 4 = $8 billion

(2)The Economist B

Now,

The spending multiplier = 4

To close output gap of $32 billion, required increase in spending = $32 billion / 4 = $8 billion

So,

Tax multiplier = 2

To close output gap of $32 billion, required decrease in tax = $32 billion / 2 = $16 billion

8 0
3 years ago
As part of PSM standards, hazard communication standards require employers who use hazardous chemicals to _____.
dusya [7]
As part of PSM standards, hazards communication standards require employers of different companies who use hazardous, unsafe and life threatening chemicals "to check, evaluate, classify and label each of those chemicals". These standards are developed and established by OSHA (Occupational Safety and Health Organization).
8 0
3 years ago
Trevor is a marketing professional in a small firm. He wants to promote his firm’s online shopping website. He targets only thos
MrRissso [65]
D ?
Inn bound marketing
3 0
3 years ago
Read 2 more answers
A homeowner hired a contractor to finish her basement. They agreed on a price of $20,000 for the job. During the final stages of
Anestetic [448]

The inference is that the contractor will prevail because the homeowner agreed to the price increase.

<h3>What is an inference?</h3>

It should be noted that an inference simply means the conclusion that can be deduced based on the information given.

In this base, inference is that the contractor will prevail because the homeowner agreed to the price increase.

Learn more about inference on:

brainly.com/question/25280941

#SPJ1

4 0
2 years ago
Jasper is a self-employed businessman. on march 5, 2015 he purchases a personal computer for use at his home. he uses the comput
g100num [7]
Jasper could most certainly claim depreciation on the computer that is, 50% of it plus 50% of the purchase price and I know because I am self-employed too and I know that legitimate office expenses like a new printer, printer paper etc can be claimed according to the amount used for the business.
7 0
3 years ago
Other questions:
  • Which of the following statements about Gen Xers is TRUE? A) Gen Xers are often willing to change brands. B) Gen Xers are select
    11·1 answer
  • Nintendo chose a ___________ approach to pricing for a new game console because they felt the market for this product was price
    10·2 answers
  • Martin company purchases a machine at the beginning of the year at a cost of $60,000. the machine is depreciated using the strai
    11·2 answers
  • How walmart motivate thier employees?
    8·1 answer
  • Business activity monitoring called
    10·1 answer
  • Consider the futures contract written on the S&amp;P 500 index and maturing in one year. The interest rate is 5.8%, and the futu
    14·1 answer
  • Branding is used to A. identify, anticipate and satisfy customer requirements. B. determine which products are intended for mark
    14·1 answer
  • Logan Company can sell all of the standard and premier products they can produce, but it has limited production capacity. It can
    7·1 answer
  • How to calculate direct labor
    13·1 answer
  • are shifts in aggregate demand often the result of waves of pessimism or optimism among consumers and businesses
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!