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cricket20 [7]
2 years ago
9

136 cars were sold during the month of april. 78 had air conditioning and 68 had automatic transmission. 56 had air conditioning

only, 46 had automatic transmission only, and 12 had neither of these extras. what is the probability that a randomly selected car had automatic transmission or air conditioning or both?
Business
1 answer:
Annette [7]2 years ago
4 0
Let us see how many cars had both of these 2 extras; since there were 78 cars with air conditioning and 56 with airconditioning only, we get that there were 22 cars with both of these features (automatic transmission/ air conditioning). If we add the cars that had only AC and the cars that had only AT, as well as the cars that had both, we get all the cars that satisfy the described event. This is equal to 56+46+22=124. Thus, the probability is given by 124/136=91.2%.
We could also claim that since 12 of the cars do not have any of the features, any of the remaining 136-12 cars would have at least one feature; hence the probability would be given by (136-12)/136 and we have obviously the same result.
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artcher [175]

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Embedding culture.

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4 0
2 years ago
Hankins, Inc., is considering a project that will result in initial aftertax cash savings of $6.3 million at the end of the firs
Marrrta [24]

Answer:

A. 12.3%

B. 68%

Explanation:

a.Calculation to determine the required return for the project

Required return=(0.62/1.62*5.7%)+(1/1.62*13.2%)+2%

Required return=0.022+0.081+2%

Required return=0.124*100

Required return=12.3%

Therefore the required return for the project will be 12.3%

b. Calculation to determine the maximum cost the company would be willing to pay for this project

Maximum cost =6.3/(12.3%-3%)

Maximum cost =6.3/9.3%

Maximum cost =0.67.7*100

Maximum cost =67.7%

Maximum cost=68% (Approximately)

Therefore the maximum cost the company would be willing to pay for this project will be 68%

8 0
2 years ago
Cragmont has beginning equity of $277,000, net income of $63,000, withdrawals of $25,000 and no additional investments by owners
Andrew [12]
<span>The ending equity is $315,000 This is just a matter of adding income and subtracting withdraws. So let's do it. "Cragmont has beginning equity of $277,000," x = $277000 "net income of $63,000" x = $277000 + $63000 = $340000 "withdrawals of $25,000" x = $340000 - $25000 = $315000</span>
3 0
2 years ago
Mr. Rich arranged for a mortgage loan for 65 percent of the $2.5 million purchase price of a home. The monthly payment will be $
olga2289 [7]

Answer:

Effective annual rate = 6.82 %

Explanation:

given data

loan = 65 % of  $2.5 million = $1625000

monthly payment pmt = $10,400

time = 30 year = 30 × 12 = 360

solution

we get here rate first by present value

present value = pmt × \frac{1-(1+r)^{-t}}{r}   ..........1

$1625000 = $10400  × \frac{1-(1+r)^{-360}}{r}

15.625 = \frac{1-(1+r)^{-360}}{r}

solve it we get

r = 0.5517%

and Effective annual rate  will be

Effective annual rate = (1+r)^{12} -1

Effective annual rate = (1+0.005517)^{12} -1

Effective annual rate = 0.068250

Effective annual rate = 6.82 %

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