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asambeis [7]
3 years ago
14

Find the principal needed now to get the given​ amount; that​ is, find the present value.To get $ 90 after 2 and three fourths y

ears at 6​% compounded continuouslyThe present value of $ 90 is $ nothing .​(Round to the nearest cent as​ needed.)
Business
1 answer:
Kisachek [45]3 years ago
6 0

Explanation:

For continuous compounding, we use the following formula

FV_{N} = PVe^{i  N}

<u>Scenario 1 : </u>

FV = $ 90

N = 2 years

I = 6%

PV= ?

FV_{N} = PVe^{i  N}

90 = PVe^{(0.06) (2)}

\frac{90}{e^{(0.06) (2)}}  = PV

PV = 79.8228

PV = $ 79.82

<u>Scenario 2:</u>

FV_{N} = PVe^{i  N}

90 = PVe^{(0.06) (3)}

PV = $ 75.17

<u>Scenario 3:</u>

FV_{N} = PVe^{i  N}

90 = PVe^{(0.06) (4)}

PV = $ 70.80

You might be interested in
Bates Company currently produces and sells 4,000 units of a product that has a contribution margin of $5 per unit. The company s
JulijaS [17]

Answer:

1,875 units.

Explanation:

Break-even is the point where a company neither generate profit not make loss, or we can say that it the sales at which the operating profit will be zero. It can be calculated for sales volume as-well-as dollar sales. Let's prepare a contribution income statement to calculate the break-even sales in quantity. We know that:

               EBIT / Operating Profit = (SP * Q) - (VC * Q) - Fixed Cost

where

SP = Selling Price

Q = Quantity / Units

VC = Variable cost

As it is understood that the operating profit at break-even is zero, simply put it in the above contribution income statements along with other figures given in the question.

⇒ 0 = (20 * Q) - (12 * Q) - 15,000

OR 15,000 / (20 - 12) = Q

⇒ Break-even units = Q = 1,875 units.

3 0
3 years ago
Motorcycle Manufacturers, Inc. projected sales of 59,700 machines for the year. The estimated January 1 inventory is 6,410 units
svlad2 [7]

Answer:

Production= 60,740

Explanation:

Giving the following information:

Sales= 59,700

Beginning inventory= 6,410

Desired Ending inventory= 7,450

<u>To calculate the production for the year, we need to use the following formula:</u>

Production= sales + desired ending inventory - beginning inventory

Production=  59,700 + 7,450 - 6,410

Production= 60,740

3 0
2 years ago
Which of the following statements about the waiver-of-premium provision in life insurance is true?
Verdich [7]

Answer:

Correct Answer:

D) The disability must occur before a stated age, such as 65, for premiums to be waived.

Explanation:

In Life insurance, the individual insured against bad events that may likely occur in his or her life through an insurance company. This would led to the company to pay his beneficiary or the individual in question if such event happened.

<em>For waiver-of premium to occur in a life insurance,the disability of the individual must occur before the age of 65 years which is assumed to be the retirement age.</em>

7 0
2 years ago
The Guitar Shoppe reports the following sales forecast: August, $110,000; September, $190,000. Total sales includes 30% cash sal
Snezhnost [94]

Answer:

The correct answer is $117,500

Explanation:

According to the scenario, the given data are as follows:

Sales for august = $110,000

Sales for September = $190,000

So, we can calculate the September cash receipts by using following formula:

Cash receipt from August = $110,000 × 55% = $60,500

Cash receipt from September = $190,000 × 30% = $57,000

Total cash receipt for September = Cash receipt from August + Cash receipt from September

= $60,500 + $57,000

= $117,500

4 0
3 years ago
Salvia Company recently purchased a truck. The price negotiated with the dealer was $42,500. Salvia also paid sales tax of $2,50
LenaWriter [7]

Answer:

$48,500

Explanation:

Price $42,500

Sales tax on the purchase $2,500

shipping and preparation costs $3,500

$42,500+$2,500+$3,500=$ 48,500

Therefore the truck should be recorded on the balance sheet prior to recording depreciation expense with $48,500

8 0
2 years ago
Read 2 more answers
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