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mixas84 [53]
3 years ago
15

You have just received an offer in the mail from Friendly Loans. The company is offering to loan you $4,750 with low monthly pay

ments of $100 per month. If the interest rate on the loan is an APR of 15.5 percent compounded monthly, how long will it take for you to pay off the loan
Business
1 answer:
Tasya [4]3 years ago
7 0

Answer:

It will take 74 months to pay-off the loan

Explanation:

We need to find time (n) in the present value of an annuity

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

C  $100.00

time n

rate 0.012916667(0.155 / 12 months)

PV $4,750.00

100 \times \frac{1-(1+0.01291667)^{-n} }{0.01291667} = 4750\\

(1+0.01291667)^{-n}= 1-\frac{4750\times0.0129167}{100}

(1+0.01291667)^{-n} = 0.38645833

Now, we solve for n using logarithmics properties:

-n= \frac{log0.38645833}{log(1+0.01291667)

-n =  -74.07934663

n = 74

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In your own words, describe how to optimize a function given a set of constraints
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3 years ago
Lisa's opportunity cost rate is 10 percent compounded annually. How much must she deposit in an account today if she wants to re
Goryan [66]

Answer:

Present value = $21,804 (approx)

Explanation:

Given:

Periodic payment = $3,200

Number of period = 12

Interest rate = 10% = 10/100 = 0.1

Present value = ?

Computation of Present value:

Present\ value = PMT[\frac{1-(1+r)^{-n}}{r} ]\\\\Present\ value = 3,200[\frac{1-(1+0.1)^{-12}}{0.1} ]\\\\Present\ value = 3,200[\frac{1-(1.1)^{-12}}{0.1} ]\\\\Present\ value = 3,200[\frac{1-0.318630818}{0.1} ]\\\\Present\ value = 3,200[\frac{0.681369182}{0.1} ]\\\\Present\ value = 21,803.6188

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8 0
3 years ago
A city's Enterprise Fund issued revenue bonds with a face value of $10,000,000. The bonds were issued with a 2% premium and the
Mrac [35]

Answer:

The correct answer is $9,850,000

Explanation:

The Enterprise fund which will be reported, total other financing sources of the amount is computed as:

= Face Value - Cost of issuance

where

Face Value is $10,000,000

Cost of issuance is $150,000

Putting the values above:

= $10,000,000 - $150,000

= $9,850,000

Note: Premium will not be considered as it is asked for when the bonds are issued.

5 0
3 years ago
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