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Taya2010 [7]
4 years ago
13

According to the Internal Revenue Service, the mean tax refund for the year 2014 was $2,800. Assume the standard deviation is $4

50 and that the amounts refunded follow a normal probability distribution. What percent of the refunds are more than $3,100
Business
1 answer:
solmaris [256]4 years ago
6 0

Answer: 25%

Explanation:

GIVEN THE FOLLOWING ;

mean tax refund(m) = $2800

Standard deviation(sd) = $450

Assuming a normal distribution;

Percentage of refunds greater than $3100.

Taking the value of X as $3100 and finding the standardized score(Z-score)

Z-score = (X - m) ÷ sd

Z-score = (3100 - 2800) ÷ 450

Z-score = 300 ÷ 450 = 0.67

Therefore,

P(X > 3100)=P(Z-score > 0.67)

Similarly written as;

1 - P(Z-score < 0.67):

Locating the intersection 0.6 on the y-axis and .07 on the x-axis of the Z-table. This is equal to 0.7486.

Therefore,

1 - P(Z-score < 0.67) = 1 - 0.7486 = 0.2514 (approximately 25%)

= 25%

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The _____ motive encourages entrepreneurs to start businesses, expand existing one, create new products or improve existing ones
NeTakaya

Answer:

b

Explanation:

the profit motivate anyone to make their own businesses

4 0
3 years ago
Sam​ Hinds, a local​ dentist, is going to remodel the dental reception area and add two new workstations. He has contacted​ A-De
Inga [223]

Answer:

Sam will pay $937.43 weekly or $71.64 quarterly.

The weekly plan has less total cash outflow each year because it involves lower interest charges as the payment is made more frequently.

Sam will have to pay $117.18 if the loan calls for quarterly payments.

Explanation:

The cash outflows are calculated using the PMT formula or function as follows.

Quarterly Payment:

PMT(rate = 0.08/4, nper = 8x4, pv = 22000, fv = 0, 0) = $937.43

Weekly Payment:

PMT(rate = 0.08/52, nper = 8x52, pv = 22000, fv = 0, 0) = $71.64

Annual cash outflow using quarterly payment = $937.43 x 4 = $3749.72

Annual cash outflow using weekly payment = $71.64 x 52 = $3725.28

The weekly plan has $3749.72 - $3725.38 = $24.44 less total cash outflow each year because it involves lower interest charges as the payment is made more frequently.

Sam will have to pay $3749.72 / 32 = $117.18 if the loan calls for quarterly payments.

7 0
4 years ago
American​ Exploration, Inc., a natural gas​ producer, is trying to decide whether to revise its target capital structure. Curren
Marat540 [252]

Answer:

a) 9.00 %

b) 7.80 %

c) yes the weight of the debt increases here is more risk in the investment as the debt payment are mandatory and failing to do so result in bankruptcy while the stock can wait to receive dividends if the income statement are good enough

d) 9.00  %

e) The increase in debt may lñead to an increase in return of the stockholders if they consider the stock riskier than before and will raise their return until the WACC equalize at the initial point beforethe trade-off occurs

Explanation:

a)

WACC = K_e(\frac{E}{E+D}) + K_d(1-t)(\frac{D}{E+D})

Ke 0.12

Equity weight 0.5

Kd(1-t) = after tax cost of debt = 0.06

Debt Weight = 0.5

WACC = 0.12(0.5) + 0.06(0.5)

WACC 9.00000%

c)

WACC = K_e(\frac{E}{E+D}) + K_d(1-t)(\frac{D}{E+D})

Ke 0.12

Equity weight 0.3

Kd(1-t) = after tax cost of debt = 0.06

Debt Weight 0.7

WACC = 0.12(0.3) + 0.06(0.7)

WACC 7.80000%

d)

WACC = K_e(\frac{E}{E+D}) + K_d(1-t)(\frac{D}{E+D})

<em>Ke 0.16</em>

Equity weight 0.3

Kd(1-t) = after tax cost of debt = 0.06

Debt Weight 0.7

WACC = 0.16(0.3) + 0.06(0.7)

WACC 9.00000%

3 0
3 years ago
If Tommy started work at 7 a.m. and left at 2:45p.m., how many hours should
IRISSAK [1]

Answer:

7 hours (if the question asked us how many hours he spent without adding the value of the minutes).

Explanation:

From 7 a.m. to 2 pm its 7 hours.

The remainder is 45 minutes.

7 hours + 45 minutes.

If it's in hours it'll be 7 hours. If the question asked hours and minutes it would be 7 hours and 45 minutes.

7 0
3 years ago
Read 2 more answers
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Andre45 [30]
She should visit a massage specialist!
5 0
3 years ago
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