23% decrease.
We can do this by simply dividing 1,650,000 by 2,150,000. That would give us 0.7674. Multiply that by 100 and you have 76.74%.
However, this is the percent amount of how 1,650,000 is out of 2,150,000. So, we need to simply minus this answer by 100 to get 23.26, or 23%.
Answer: BP = BD(WD) + BE(WE)
1 = 0.86(1-WE) + 1.39WE
1 = 0.86-0.86WE + 1.39WE
1 = 0.86 + 0.53WE
-0.53WE = -0.14
0.53WE = 0.14
WE = 0.14/0.53
WE = 0.2641509434
WD = 1 - WE
WD = 1 - 0.2641509434
WD = 0.7358490566
The dollar amount of investment in stock D = 0.7358490566 x $215,000
= $158,207.54
Explanation: The beta of the portfolio is 1, which corresponds to the beta of the market. The beta of the portfolio equals beta of each stock multiplied by the percentage of fund invested in each stock(weight). The weight of stock D is equal to 1 - weight of stock E. Therefore, we need to make weight of stock E the subject of the formula by solving the problem mathematically and collecting the like terms. The weight of stock E is 0.2641509434. The weight of stock E will be subtracted from 1 so as to obtain the weight of stock D, which is 0.7358490566. The dollar amount of stock D equal to $215,000 multiplied by 0.7358490566, which is $158,207.54.
The probability that the first student dressed inappropriately for the football game will be the 10th student checked is <u>3.182%</u>.
<h3>What is probability?</h3>
Probability refers to the chance that an outcome occurs given the possibility of many outcomes.
As a measure, probability represents the ratio of the outcomes from a set of equally likely outcomes.
<h3>Data and Calculations:</h3>
Estimated proportion of students dressed inappropriately = 7%
Number of players for a football game = 22 (11 x 2)
Probability that the first one dressed inappropriately will be the 10th = 0.031818 (0.07 x 10/22).
Thus, the probability that the first student dressed inappropriately for the football game will be the 10th student checked is <u>3.182%</u>.
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Answer:
D. A software developer requires leadership skills.
Explanation:
A computer programmer takes care of writing code to create a program.
A software developer takes care of all the process for developing a software and they will define the requirements for a software and then, work with programmers that write the code.
According to that, a software developer differ from a computer programmer because a software developer requires leadership skills as they will have to supervise all the process to create a program and work with people.
Answer:
Results are below.
Explanation:
To determine whether the project should be accepted or not, we need to calculate the net present value. <u>If the NPV is positive, the project should be accepted.</u>
<u>To calculate the NPV, we will use the following formula:</u>
NPV= -Io + ∑[Cf/(1+i)^n]
Cf1= 9,800/1.0975= 8,929.38
Cf2= 16,400/1.0975^2= 13,615.54
Cf3= 21,700/1.0975^3= 16,415.20
Total= $38,960.12
NPV= -38,700 + 38,960.12
NPV= 260.12
<u>The project is profitable. </u>