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larisa [96]
2 years ago
9

Olivia is willing to pay $185 a month for four years for a car payment. if the interest rate is 4.9 percent, compounded monthly,

and she has a cash down payment of $2,500, what price car can she afford to purchase?
Business
1 answer:
Grace [21]2 years ago
4 0
Let x = the price of the car that Olivia can afford.

Down payment = $2,500
Remaining amount to be financed is P = x - 2500.

Total payments should equal the monthly payments.
The total payment over 4 years (48 months) is
A  = $185*48 = $8,880

The rate is r = 4.9% = 0.049.
The compounding interval is n = 12.
The time is t = 4  years.
The amount financed is P = $(x - 2500).
Therefore
(x - 2500)(1 + 0.049/12)⁴⁸ = 8880
1.216(x - 2500) = 8880
x - 2500 = 7302.63
x = 9802.63
Olivia can afford a car priced at $9,802.63.

Answer: $9,802.63

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4 0
3 years ago
On December 31, 2021, Coolwear Inc. had balances in Accounts Receivable and Allowance for Uncollectible Accounts of $48,000 and
Reil [10]

Answer:

$3,325

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6 0
2 years ago
Baker's Supply imposes a payback cutoff of 3.5 years for its international investment projects. If the company has the following
sweet-ann [11.9K]

Answer:

Both projects fall within the acceptable payback period, so, both projects can be accepted.

Explanation:

Cash payback period measures how long it takes for the amount invested in a project to be recovered from the cumulative cash flows.

Pay back period For project A:

Amount invested in the project = −$ 62,000

Amount recovered in year 1 = −$ 62,000 + 7,100 = $-54,900

Amount recovered in year 2 = $-54,900 + 9,800 = $-45,100

Amount recovered in year 3 = $-45,100 + 28,700 = $-16,400

Amount recovered in year 4 = $-16,400 + 45,900 = $29,500

The amount is recovered In 3 years + 16400 / 45900 = 3.36 years

Cash payback period for project B:

Amount invested in the project = −$ 26,000

Amount recovered in year 1 = −$ 26,000 + 15,600 = $-10,400

Amount recovered in year 2 = $-10,400 + 8,400 = $-2000

Amount recovered in year 3 = $-2000 + 1,900 = $-100

Amount recovered in year 4 = $-100 + 1,100 = $1000

The amount invested is recovered In 3 years + 100/1,100 = 3.09 years.

Both projects fall within the acceptable payback period, so, both projects can be accepted.

I hope my answer helps you

7 0
2 years ago
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