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murzikaleks [220]
2 years ago
9

cite three real life situations where quadratic equations are illustrated. Formulate quadratic equations out of these situations

then describe each.​
Business
1 answer:
NISA [10]2 years ago
7 0

Answer:

I want to know the sides of a pizza if the width is 9 inches larger than the height and the area is 250 squared inches.

My brother wants to know how long his bed is if it has an area of 2m and the width is .5m larger than the height.

My father wants to know whats the size of a football field if the area is 57,600 square feet given that the length is 200 ft larger than the width.

Explanation:

To solve this you just have to think on the unknown value and represent it as "X" in the first problem we do not know the length or width but we have a values given between them, so if "x" is the height then the width becomes "x+9" so those two values multiplied become the area.

x(x+9)=250\\x^{2} +9x=250\\x^{2} +9x-250=0\\

With this you just keep solving the others.

My brother wants to know how long his bed is if it has an area of 2m and the width is .5m larger than the height.

2m as an area and the height is "x"

x(x+-5)=2\\x^{2} +.5x=2\\x^{2} +.5x-2=0\\

My father wants to know whats the size of a football field if the area is 57,600 square feet given that the length is 200 ft larger than the width.

57,600 is the area and width will be "x"

x(x+200)=57,600\\x^{2} +200x=57,600\\x^{2} +200x-57,600=0\\

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The city of Brock’s Water Enterprise Fund leases water treatment equipment. The life of the noncancellable lease is 10 years, an
Degger [83]

<u>Solution and Explanation:</u>

The Journal Entries in the books of Brock's water enterprise is as follows :-

Date  Particulars and details                             Debit($)  Credit($)

Jan 5, 2018  Intangible Assets - Lease  905861  

Lease Payable                                            905861

(Being Record the Lease)        

Jan 5, 2018  Lease Payable                  125000  

Cash                                                           125000

(Being Record Down Payment)        

Dec 31, 2018  Amortization Expenses ($905861divide 10)  90586  

Accumulated Amortization                                           90586

(Being Record the amortization)        

Jan 5, 2019  Lease Payable (\$ 125000-\$ 62469) 62531  

Interest Expenses ((\$ 905861-\$ 125000) * 8 \%)   62469  

Cash                                                                              125000

(Being Record the Second Lease Payment)  

3 0
2 years ago
Last year Kruse Corp had $440,000 of assets (which is equal to its total invested capital), $403,000 of sales, $28,250 of net in
Brut [27]

Answer:

The reduction in assets would improve the ROE by 7.81%.

Explanation:

This can be calculated as follows:

Previous equity = (100% - Debt-to-total-capital ratio) * Previous total invested capital = (100% - 39%) * $440,000 = 61% * $440,000 = $268,400

Previous return on equity (ROE) = (Net income / Previous equity) * 100 = ($28,250 / $268,400) * 100 = 10.53%

New equity = (100% - Debt-to-total-capital ratio) * New total invested capital = (100% - 39%) * $252,500 = 61% * $252,500 = $154,025

New ROE = (Net income / New equity) * 100 = ($28,250 / $154,025) * 100 = 18.34%

Change in ROE = New ROE - Previous ROE = 18.34% - 10.53% = 7.81%

Since change in ROE is 7.81% and positive, this implies that the reduction in assets would improve the ROE by 7.81%.

5 0
2 years ago
On January​ 1, 2019, Plenty of​ Oil, Inc. purchased an oil field that is estimated to have 20 comma 000 comma 000 barrels of oil
AysviL [449]

Answer:

$65,200,000.

Explanation:

We know,

Depreciation expense rate under unit-of-activity method = (Total cost of the asset - Residual value) ÷ Estimated usage

Therefore, Depreciation expense rate = ($80,000,000 - 0) ÷ 20,000,000 barrels of oil.

Depreciation expense rate = $80,000,000 ÷ 20,000,000 barrels of oil.

Depreciation expense rate = $4 per barrel.

As the company used 1,800,000 barrels during 2019, the depreciation expense for 2019 = 1,800,000 × $4 = $72,000,000

For 2020, the depreciation expenses = 1,900,000 × $4 = $76,000,000

Therefore, accumulated depreciation after December 31, 2020 = $72,000,000 + $76,000,000 = $14,800,000.

Therefore, book value reported on the balance sheet as of December​ 31, 2020 = $80,000,000 - $14,800,000 = $65,200,000.

3 0
2 years ago
On July 1 of the current year, the assets and liabilities of John Wong, DVM, are as follows: Cash, $10,970; Accounts Receivable,
irinina [24]

Answer:

$40,732

Explanation:

The computation of the amount of stockholders' equity is shown below:-

Amount of stockholders' equity = Cash + Accounts Receivable + Supplies Land - Accounts Payable

= $10,970 + $8,795 + $1,803 + $24,968 - $5,804

= $46,536 - $5,804

= $40,732

Therefore we have applied the above formula to reach out the amount of stockholders' equity.

3 0
2 years ago
You have received a job offer upon graduation from a prestigious consulting firm. Before you receive your first paycheck, you ha
aliina [53]

Answer:

The monthly payments will be $1,912.23.

Explanation:

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV at 65 = Present value of the balance of the Porsche = $100,000 * (100% - Percentage of down payment) = $100,000 * (100% - 10%) = $90,000

P = monthly payments = ?

r = Monthly interest rate = Annual interest rate / 12 = 10% / 12 = 0.10 / 12 = 0.00833333333333333

n = number of months = 5 years * 12 months = 60

Substitute the values into equation (1) and solve for P, we have:

$90,000 = P * ((1 - (1 / (1 + 0.00833333333333333))^60) / 0.00833333333333333)

$90,000 = P * 47.0653690237519

P = $90,000 / 47.0653690237519

P = $1,912.23

Therefore, the monthly payments will be $1,912.23.

7 0
1 year ago
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