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Allushta [10]
3 years ago
9

You rent a car for $29.95. The first 150 miles are free, but each mile thereafter costs 15 cents. You plan to drive it 200 miles

. What is the marginal cost of driving the car beyond the first 150 free miles?
Business
1 answer:
kari74 [83]3 years ago
5 0

Answer:

marginal cost is 15 cents

Explanation:

given data

car rent = $29.95

distance d1 = 150 miles

cost = 15 cents per miles

distance d2 = 200 miles

to find out

marginal cost

solution

first we find here cost for driving d2

cost for 150 to 200 miles  = 15 × 50

cost for 150 to 200 miles  = 750 cents = $7.5

so

cost for driving d2  = $7.5 + $29.95

cost for driving d2 = $37.45

so

marginal cost will be

marginal cost = change in cost / chance in distance

marginal cost = 37.45 - 39.95   /   ( 200-150)

marginal cost = 7.5 / 50  = 0.15

marginal cost is 15 cents

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In 2016, 59.7 percent of the adult population (253 million) was employed. If the employment rate increased to 62 percent,
kolezko [41]

Answer:

a. 5.819 million

b. $709918

Explanation:

Below is the calculation:

a. Total number of adult population = 253 million

Total employed adult = 253 x 59.7% = 151.041

Number of employed adult after increase in employment rate = 253 x 62% = 156.86

More people would be working = 156.86 - 151.041 = 5.819 million

b. GDP per capita is $122,000, so increase in GDP = 5.819 x 122000

    Increase in GDP = $709918

8 0
3 years ago
Fosnight Enterprises prepared the following sales​ budget: Month Budgeted Sales March April May June The expected gross profit r
kvv77 [185]

The question is incomplete as the figures are missing. The complete question is,

Fosnight Enterprises prepared the following sales​ budget:

Month       Budgeted Sales

March         $6,000

April            $13,000

May             $11,000

June            $20,000

The expected gross profit rate is  20​% and the inventory at the end of February was  $7,000.  Desired inventory levels at the end of the month are  30​%  of the next ​month's cost of goods sold.  What are the total purchases budgeted for May?

Answer:

Purchases - May = $10960

Explanation:

To calculate the total value of purchases that are budgeted for May, we first need to calculate the cost of goods sold and the opening and closing inventory for May.

As the gross profit margin is 20%, the cost of goods sold will be 80% of sales.

Cost of goods sold for May = 0.8 * 11000 = $8800

Cost of goods sold for June = 0.8 * 20000 = $16000

Opening inventory - May = 8800 * 0.3  = $2640

Closing Inventory - May = 16000 * 0.3  = $4800

Purchases = Closing Inventory + Cost of Goods Sold for the month - Opening Inventory

Purchases - May = 4800 + 8800 - 2640

Purchases - May = $10960

3 0
2 years ago
A 30-year maturity bond making annual coupon payments with a coupon rate of 8.5% has duration of 12.88 years and convexity of 23
marin [14]

Answer:

a. Predicted Price = $1815.52

b. Predicted Price = $1,834.64

c. Predicted Price = $1425.4

Explanation:

The actual price of the bond as a function of yield to maturity is:

Yield to maturity --- Price

7% $1,620.45

8% $1,450.31

9% $1,308.21

a.

Using the Duration Rule, assuming yield to maturity falls to 6%:

Predicted price change = (-D/(1 + y)) * ∆y * Po

Where D = Duration = 12.88 years

y = YTM = 7%

∆y = 6% - 7% = -1%

Po = $1,620.45

So, Predicted Change = (-12.88/(1 + 0.07)) * -0.01 * 1,620.45

Predicted Change = 195.0597757009345

Predicted Change = $195.06 ----- Approximated

Therefore the new Predicted Price

= $1,620.46 + $195.06

= $1815.52

b.

Using Duration-with-Convexity Rule, assuming yield to maturity falls to 6%

Predicted price change

= [(-12.88/(1 + 0.07)) * (-0.01) + (½ * 235.95 * (-0.01²))] * 1,620.45

= 214.1770345759345

= $214.18 ------ Approximated

Therefore the new Predicted Price

= $1,620.46 + $214.18

= $1,834.64

c.

Using the Duration Rule, assuming yield to maturity rise to 8%:

Predicted price change = (-D/(1 + y)) * ∆y * Po

Where D = Duration = 12.88 years

y = YTM = 7%

∆y = 8% - 7% = 1%

Po = $1,620.45

So, Predicted Change = (-12.88/(1 + 0.07)) * 0.01 * 1,620.45

Predicted Change = -195.0597757009345

Predicted Change = -$195.06 ----- Approximated

Therefore the new Predicted Price

= $1,620.46 - $195.06

= $1425.4

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Answer:

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Explanation:

1. Frank should have outdoor furniture made of concrete instead of metal.

A strike of thunder on a metal surface will propel an electric shock.

2. Frank should pay good or regular attention to the weather forecasts.

He should have a handy device such as a small radio, which will keep him abreast of important happenings in the area.

3. Frank should take cover once a stroke of lightning appears in the sky.

The field of Physics lets us to know that light travels faster than sound and that the moment lightning appears in the sky, expect thunder roaring about 8 seconds after.

4. Frank should get used to or always wear covered shoes, to protect him from the electric charge that is created between a thunderstorm and a wet ground. Gloves could also do, for the hands.

5. Frank should structure his movements and road trips such that he accounts for some time that'll be used to wait for thunderstorms to pass; since it's unsafe to drive while the storms are roaring.

This will help him be on time to events and meetings.

6. Frank should avoid leaning on walls which have metal wires or bars across them, especially when lightning appears.

7. Frank should avoid anything wet, during a thunderstorm. This precaution should be taken even while indoors.

8. In the event that frank gets caught outdoors or in the open when a thunderstorm occurs, he should stoop and let only his feet have contact with the ground.

3 0
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