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MrMuchimi
1 year ago
12

A cylinder with radius 2 units is shown below. Its volume is 75 cubic units. Find the height of the cylinder.

Mathematics
1 answer:
sweet [91]1 year ago
7 0
<h3>Answer:  5.97</h3>

Work Shown:

V = \pi*r^2*h\\\\75 \approx 3.14*2^2*h\\\\75 \approx 12.56h\\\\h \approx 75/(12.56)\\\\h \approx 5.971 338\\\\h \approx 5.97\\\\

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I need help with substitution​
Neporo4naja [7]

Answer:

(-7,-15)

Step-by-step explanation:

We can substitute first y in the second y. Both equations are also functions. We can merge the equations.

2x - 1 = x - 8  \\ 2x - x =  - 8 + 1 \\ x =  - 7

Substitute x = -7 in any given equations. I will choose the second equation to substitute in.

y = x - 8 \\ y =  - 7 - 8 \\ y =  - 15

<u>Answer</u><u> </u><u>Check</u>

Substitute both x and y in both equations.

- 15 = 2( - 7) - 1 \\  - 15 =  - 14 - 1 \\  - 15 =  - 15

The equation is true for (-7,-15).

- 15 =  - 7 - 8 \\  - 15 =  - 15

The second equation is true for (-7,-15).

Therefore our answer is (-7,-15)

6 0
3 years ago
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Marysya12 [62]

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49

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8 0
2 years ago
What is a3 of the sequence 13, 18, 23, 28, 33, 38...
Ugo [173]

Answer:

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Step-by-step explanation:

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3 years ago
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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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(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)

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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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