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kkurt [141]
3 years ago
6

A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x)=14,000ln(0.01x+1). Use the diffe

rential to approximate the change in revenue fro the sale of one more doghouse if 110 doghouses have already been sold.
Business
1 answer:
melamori03 [73]3 years ago
5 0

Answer: The change in revenue for the sale of 1 more doghouse $ 66.67 dollars

Explanation: Differential is a function that can be used to approximate function value with a great degree of accuracy. This is done by the following.

Mathematical definition of derivative: f'(x) = lim f(x+Δx) - f(x)/Δx.

If Δx is very small:

f'(x) . Δx ≅ f(x+Δx) - f(x)

Knowing that Δy ≅ f(x+Δx) - f(x) and the diferential of variable x can be written by dx as the variable y can be dy:

dy = f'(x) dx

which means that the differential dy is approximately equal to the change Δy, if Δx is very small.

For the question, R(x) = y(x) = 14,000ln(0.01x+1)

f'(x) = \frac{d[14,000.ln(0.01x+1)]}{dx}

Using the chain rule, the derivative will be:

f'(x) = 14,000.\frac{0.01}{0.01x+1}

dy = 14,000.\frac{0.01}{0.01x+1}.dx

dx is the change in x. For the question, the change is 1 (1 more doghouse) and x is 110:

dy = 14,000\frac{0.01}{0.01.110+1}.1

dy = \frac{140}{2.1}

dy = 66.67

The change in revenue is $66.67 dollars.

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Kathy purchased a $2,000 digital TV from Young's Appliances. She will make 12 equal payments over the next year to pay for it. S
Elan Coil [88]

Answer:

A. closed-end credit

Explanation:

Closed-end credit is a loan or a credit type where the funds would be dispersed at the time when the loan is closed and it would be paid back by involving the interest & finance charges

Since in the question it is mentioned that she would make the payment in 12 equal payments so here she is using closed-end credit

hence, the correct option is a.

3 0
3 years ago
The primary purpose of the requirements analysis phase is to ________. eliminate obviously nonsensible projects before forming a
gavmur [86]
<span>The primary purpose of the requirements analysis phase is to determine and document the specific features and functions of the new system. It does not eliminate obviously nonsensible projects before forming a project development team. Identify the requisite skills needed or show personnel assigned to the project or investigates how much similar projects have cost in the past.</span>
5 0
3 years ago
g Required information [The following information applies to the questions displayed below.] On October 1, Ebony Ernst organized
sweet [91]

Answer:

Please see details below:

Explanation:

Sales  $16.540  

Salaries Expenses  -$7.740

Miscellaneous Expenses -$5.820  

Net Income       $2.980  

Dividends  2.830  

Retained Earnings $150.

Balance Sheets

Assets  

Cash  $8.990  

Accounts Receivable  $16.540  

Equipment  $22.590  

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TOTAL ASSETS   $94.100  

Liabilities  

Accounts Payable    $9.170

TOTAL LIABILITIES   9.170  

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6 0
3 years ago
Project Q has an initial cost of $257,412 and projected cash flows of $123,300 in Year 1 and $180,300 in Year 2. Project R has a
ss7ja [257]

Answer:

b) Accept Project R and reject Project Q

Explanation:

We can use the following method to solve the given problem in the question

We are given

Project Q: Initial Cost = $ 257,412

Projected Cash Flows: Yr 1 : $ 123,300 Yr 2 : $ 180,300

Total Present Value of all the Future Cash Flows using 12.2% as Rate of Return

= 123,300/1.122 + 180,300/(1.122*1.122)

= 109,893 + 143,222

= $ 253,115

Profitability Index = Total Present Values of all Cash Inflows / Initial Investment

= 253,115 / 257142 = 0.98

Since the Initial Investment is greater than the Present Value of Cash Inflows, that is, l Profitability Index < 0 the Project should not be selected.

Project R: Initial Cost = $ 345,000

Projected Cash Flows: Yr 1 : $ 184,500 Yr 2 : $ 230,600

Total Present Value of all the Future Cash Flows using 12.2% as Rate of Return

= 184,500/1.122 + 230,600/(1.122*1.122)

= 164,438.5 + 183,178

= $ 347,616.5

Profitability Index = Total Present Values of all Cash Inflows / Initial Investment

= 347,616.5 / 345,000 = 1.01

Since the Initial Investment is lower that the Present Value of the Cash Inflows, that is, Profitability Index > 0 the Project should be selected.

Accept Project R and Reject Project Q, so option B is the correct answer

8 0
3 years ago
T. L. Jones Trucking Services establishes a petty cash fund on April 3 for $500. By the end of April, the fund has a cash balanc
djyliett [7]

Answer:

The question is missing some figures which can be seen from the attached image.

Petty cash is a fund set aside in the office to pay minor day to day expenses incurred.Usually, an amount is made available at the beginning of period called float,from which expenses can be paid and the amount equal to spend is reimbursed at the end of the month.

In order, to make payment even more easier,some businesses take up credit cards from financial institutions,from  which expenses can be paid on account.

The balance of $415 means in petty fund,implies that $85  spent needs to be replenished at month end and that the remaining expenses were paid with credit card.

Explanation:

Find in the attached spreadsheet the entries posted in respect of petty cash and credit card expenses in the month.

5 0
3 years ago
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