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alexdok [17]
3 years ago
8

Hank is painting his grandfather's fence. He painted 40 linear feet in 85 minutes. He still has 360 linear feet to paint. His co

usins, Sam and Alex, come to help. Sam paints twice as fast as Hank, and Alex paints half as fast as Hank. Find the constant of proportionality for the fence painting rate of Hank, Sam, and Alex combined.
Mathematics
1 answer:
Anna71 [15]3 years ago
5 0
The correct answer for the question that is being presented above is this one: "C) 1.6." Hank is painting his grandfather's fence. He painted 40 linear feet in 85 minutes. He still has 360 linear feet to paint. His cousins, Sam and Alex, come <span>to help. Sam paints twice as fast and Alex paints half as fast as Hank. The constant of proportionality that relates the current fence painting rate is 1.6.</span>
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The variable z is directly proportional to x. When x is 6, z has the value 60. What is the value of z when x = 11?
user100 [1]

Answer:

  110

Step-by-step explanation:

z is apparently 10 times x.

10 times 11 is 110.

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3 years ago
How many 1/4 inch cubes does it take to fill a box with width 3 1/4 inches, length 4 1/2 inches, and height 2 3/4 inches?
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A publisher reports that 30% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is
Ierofanga [76]

Answer:

Test statistic = - 2.29

Pvalue = 0.0110

Step-by-step explanation:

The hypothesis :

H0 : p = 0.3

H1 : p < 0.3

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 0.2

Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110

Z = - 0.1 / √0.0019090

Z = - 0.1 / 0.0436931

Z = - 2.29

Test statistic = -2.29

The Pvalue :

P(Z < -2.29) = 0.0110

4 0
3 years ago
the diameter of a bike wheel is 25 inches. If the wheelmakes 20 Complete rotations, how far does the bike travel?
Iteru [2.4K]

Answer:

1571 in

Step-by-step explanation:

Given data

Diamter= 25 in

radius= 25/2= 12.5in

Circumference= 2πr

substitute

C=2*3.142*12.5

C=78.55in

In 1 revolution the bike will travel 78.55in

in 20 revolutions the bike will travel

=78.55*20

=1571 in

4 0
3 years ago
The YTM on a bond is the interest rate you earn on your investment if interest rates don’t change. If you actually sell the bond
AURORKA [14]

Answer / Step-by-step explanation:

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Using a spreadsheet, financial calculator, or trial and error we find:

R = YTM = 9.42%

b) To find our HPY, we need to find the price of the bond in two years. The price of the bond in two years at the new interest rate, will be:

P2 = $100 (PVIFA 8.42%,17) + $1,000(PVIF 8.42%,17)

Therefore,  P2 = $1,139.6

(b2) To calculate the HPY, we need to find the interest rate that equates the price we paid for the bond with the cash flows we received. The cash flows we received were $100 each year for two years and the price of the bond when we sold it. The equation to find our HPY is therefore:

P0 = $1,060 = $100(PVIFAR%, 2) + $1,139.69(PVIFR%, 2)

Solving for R, we get:

R = HPY = 13.52%

Therefore,  the realized HPY is greater than the expected YTM when the bond was bought because interest rates dropped by 1 percent; bond prices rise when yields fall.

8 0
3 years ago
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