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larisa [96]
3 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]3 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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Budgeted Income Statement and Balance Sheet
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Answer:

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1. Budgeted income statement for 20Y4:

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less Cost of Sales = $482,000

Gross Profit = $518,000

less Selling Expenses = $256,000

less Administrative expenses = $135,400

Income before Taxes = $126,600

Federal Income Tax = $30,000

Income after Taxes = $96,600

Retained Earnings b/f = $290,700

less Dividends = 10,800 ($0.15 x 18,000 x 4)

Retained Earnings c/f = $376,500

2. Budgeted balance sheet as of December 31, 20Y4:

Cash $95,800

Accounts Receivable 125,600

Finished Goods 69,300

Work in Process 32,500

Materials 48,900

Prepaid Expenses 2,600

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Accumulated Depreciation—

Plant and Equipment ($196,200) = ($156,200 + 40,000)

Total = $578,500

Accounts Payable $62,000

Common Stock, $10 par 180,000

Retained Earnings 376,500

Total = $618,500

Explanation:

a) Cost of goods manufactured and sold budget:

Direct materials = $220,000 ($1.10  x 200,000 units sold)

Direct labor  = $130,000 ($0.65  x 200,000 units sold)

Factory Overhead:

Depreciation of plant and equipment $40,000

Other factory overhead $92,000 (12,000 + 0.40 x 200,000)

Total = $482,000

b) Selling Expenses Budget:

Sales salaries and commissions $136,000(46,000 + 0.45

x 200,000)

Advertising 64,000

Miscellaneous selling expense $56,000 (6,000 + 0.25 x 200,000)

Total = $256,000

c) Administrative Expenses Budget:

Office and officers salaries $96,400 (72,400+ 0.12  x 200,000)

Supplies 25,000 (5,000 + 0.10  x 200,000)

Miscellaneous administrative expense $14,000( 4,000 + 0.05 x 200,000)

Total = $135,400

d) Sales Budget:

Sales units = 200,000

Sales price = $5.00

Sales Value = $1,000,000

e) Cash Budget:

Beginning Balance - $85,000

Sales - $1,000,000

Cost of sales ($482,000)

Selling Expenses  ($256,000)

Administrative Expenses  ($135,400)

Purchase of Equipment ($75,000)

Payment of Taxes ($30,000)

Payment of Quarterly Dividends ($10,800)

Ending Balance = $95,800

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