Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the interest rate is 10 percent per year?
Answers
20,000 = P * 1.1^4
20,000 = P * 1.461
P = 20,000 : 1.461 ≈ $13,689.25
Answer: Miranda needs to put now in the bank $13,689.25
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the answer to your question is x=0
X=0
−32−8x=−7x+8(8x−4)
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Answers
0.125 is a decimal, and as a fraction it converts to 1/8. Therefore, depending on the original unit, it could be 1/8 of a cup.
Answers
6x = 66
8x = 56
9x = 54
Answers
The answer is D, 9x = 54, since 9×6 = 54.
Answer:
D 9x=54
Step-by-step explanation:
just look at it as 9times6=54 .
Answers
Since the origin is the center of dilation then the factor of dilation is 2 so just multiply the coordinate of every vertex by 2. So, the vertices will become A'(-2,-2), B'(0, 2), C'(4, 4) ad D'(4,-2). Therefore, letter B is the answer.
(b). Find the volume of the solid generated when R is revolved about the line y=-2.
Answers
Volume of the solid generated when R is revolved about the x-axis is 10π and the volume of the solid generated when R is revolved about the line y = -2 is 40π/3.
What is Graph?
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The volume of the solid generated when R is revolved about the x-axis,
where a and b are the x-coordinates of the points of intersection of the curve y = √(x-2) and the line y = 2.
Solving y = √(x-2) and y = 2 for x, we get:
x = 6 and x = 2
Limits of integration are a = 2 and b = 6. Substituting y = √(x-2) into the formula for the volume, we get:
V =
V= π [(6²/2 - 2(6)) - (2²/2 - 2(2))]
=10π
Volume of the solid generated when R is revolved about the x-axis is 10π.
b. The volume of the solid generated when R is revolved about the line y = -2
Substituting y = √(x-2) into the formula for the volume, we get:
We can simplify this by using the identity:
V =40π/3
Therefore, the volume of the solid generated when R is revolved about the line y = -2 is 40π/3.
Hence, Volume of the solid generated when R is revolved about the x-axis is 10π and the volume of the solid generated when R is revolved about the line y = -2 is 40π/3.
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