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2 years ago

Solve each inequality below using the Addition principle. Draw a graph of each solution set.

Mathematics

1 answer:

9966 [12]2 years ago

6 0

Answer:

x > 7

Step-by-step explanation:

Given

x - 7 greater than 0

Required

Solve as inequality and represent as a graph

greater than is represented with >

So, the equation is:

x - 7 > 0

Add 7 to both sides

x - 7 + 7 > 0 + 7

x > 0 + 7

x > 7

Next, the inequality is represented on a graph.

See attachment for graph

The shaded part of the graph represents the solution to the graph.

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Solve the quadratic equation by completing the square. x^2+14x+47=0. What is the form and solution?

Phoenix [80]

To complete a square for ax²+bx+c, you first make a=1.
in this case, a is already 1
move c to the right side: x²+14x=-47
next, add (1/2 of b)² to both sides, in this case, b=14, half of 14 is 7, so x²+14x+ 7²=-47+7²
the left side is now a perfect square: (x+7)²=2
x+7=√2 or x+7=-√2
x=√2-7, or x=-2-√7

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3 years ago

"What impact can a very large volcanic eruption have on earth's climate?" 1. It will warm the earth's surface as more lava is re

Ludmilka [50]

The impact of a very large volcanic eruption that have an effect on earth's climate is <u>It will cool the earth's surface as radiation from the sun is blocked from entering the atmosphere.</u>

<u />

Explanation:

A very large volcanic eruption will spew tonnes of fine dust particles (pyroclast) into the atmosphere. These particles will be spread over large area by wind and the particles will remain suspended in the air for longer periods before they settle on the earth's surface.

The suspended particles will block the sun, and by reflecting most of the sunlight before it reaches the earth’s surface, will cause the surface temperatures to drop.

This same phenomenon caused the demise of dinosaurs after a meteorite strike threw dust particles into the atmosphere that lingered for a long time smothering plant life too.

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3 years ago

How did you do? Rate your work on a scale of 1 to 5, with 5 as the highest score. Then write a brief evaluation of your work bel

Arte-miy333 [17]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

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:

(a) The rate of return you expect to earn if you purchase a bond and hold it until maturity is the YTM.

If we recall the bond price equation for this bond is, we have

P0 = $1,060 = $100(PVIFAR%,21) + $1,000(PVIFR%,21)

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.

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3 years ago

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Bezzdna [24]

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3 years ago