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77julia77 [94]
3 years ago
13

Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a raise an

d the percentage who got one. According to the survey, of the men interviewed, 24% had asked for a raise and 55% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities. (Enter your answers to three decimal places.)
Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

0.132

Step-by-step explanation:

p(received raise and asked for one) = p(received raise | asked for one) * p(asked for one)

p(received raise and asked for one) = 0.24 X 0.55 = 0.132

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The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
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Answer:

The function is negative for all real values of x where

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3 years ago
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Roberta has $10,540 to invest. She plans to invest her money in certificates of deposit (CDs) that have 2.1% interest, a stock p
ira [324]

Answer:

The amount invested in CDs is  $1,340

The amount invested in the stock portafolio is $6,900

The amount invested in the saving accounts is $2,300

Step-by-step explanation:

Let

x ---->the amount invested in CDs at 2.1%

y ---> the amount invested in the stock portfolio at 2.5%

z ---> the amount invested in the savings account at 1.5%

x+y+z=10,540 ----> equation A

z=\frac{1}{3}y ----> equation B

substitute equation B in equation A

x+y+\frac{1}{3}y=10,540

x+\frac{4}{3}y=10,540

x=10,540-\frac{4}{3}y ----> equation C

we know that

The total interest earned by the three amount must be equal to $231.69

so

0.021x+0.025y+0.015z=231.69 ----> equation D

substitute equation B and equation C in equation D

0.021(10,540-\frac{4}{3}y)+0.025y+0.015(\frac{1}{3}y)=231.69

solve for y

221.34-0.0315y+0.025y+0.005y=231.69

0.0015y=231.69-221.34

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<em>Find the value of x</em>

x=10,540-\frac{4}{3}(6,900)

x=\$1,340

<em>Find the value of z</em>

z=\frac{1}{3}(6,900)

z=\$2,300

7 0
3 years ago
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Answer:

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³√(5x-1)=4

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