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inna [77]
3 years ago
11

What is the volume of a night rectangular prism with length 10 units, width 5 units, and height 3 units?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0

V=whl=5·3·10=150 units

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Answer:

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Step-by-step explanation:

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3 years ago
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Martin is two years younger than three times his daughter Ada’s age. The sum of their ages is 54. If Ada’s age is given by a, th
Igoryamba

Answer:

  • Martin is 40 and Ada is 14

Step-by-step explanation:

  • Martin's age = m
  • Ada's age = a

<u>Martin is two years younger than three times his daughter Ada’s age:</u>

  • m = 3a - 2

<u>The sum of their ages is 54:</u>

  • m + a = 54

<u>Solving this equation for m:</u>

  • m = 54 - a

<u>Eliminate m:</u>

  • 3a - 2 = 54 - a

<u>Solve for a:</u>

  • 3a + a = 54 + 2
  • 4a = 56
  • a = 56/4
  • a = 14

<u>Find m:</u>

  • m = 54 - 14 = 40

Martin is 40 and Ada is 14

8 0
3 years ago
Salma invests the following sums of money in common stocks having expected returns as follows: a. what is the expected return (p
Contact [7]

Calculate the total amount invested by summing up all the values of the investment.

Total = 50,000

Calculate the weight of each investment. For WOOPS, weight = 5000 / 50000 = 10% and so on.

Now, Expected Return = sum of weight x Returns = 10% x 0.14 + 20% x 0.16 + ... + 18%x 0.18 = 16.01%

b) Similarly,

Beta of the portfolio = sum of weight x beta = 10% x 0.6 + 20% x 0.8 + ... + 18% x 0.18 = 0.7605

c) Portfolio has less systematic risk as the beta for the average market is 1, which is above the portfolio

d) Using CAPM, Return = Rf + beta x (Rm - Rf) = 4% + 0.7605 x (14% - 4%) = 11.605%

To calculate the expected return of a portfolio, the investor needs to know the expected return of each security in the portfolio and the total weight of each security in the portfolio. This means that investors need to sum the weighted averages of the expected returns (RoRs) of each security.

Investors are based on estimates of the expected rate of return on securities, assuming that what has proven to be true in the past will be true in the future. Investors do not use the structural view of the market to calculate the expected return. Instead, it determines the weight of each security in the portfolio by dividing the value of each security by the total value of the security.

Learn more about Percentage here: brainly.com/question/843074

#SPJ4

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2 years ago
In ΔDEF, the measure of ∠F=90°, DE = 88 feet, and EF = 39 feet. Find the measure of ∠E to the nearest tenth of a degree.
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What is the surface area of a sphere with radius 2
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Answer: A≈50.27

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