Answer: x=3.537715
Step-by-step explanation:
5x+3=300
5x+3+−3= 300+ −3
5x=297
Step 2: Solve Exponent.
5x=297
x=3.537715
Hope this helps :)
Answer:

Step-by-step explanation:
Given



Required
Determine the probability of selecting two fakes
The probability can be represented as thus: 
Using the following probability formula, we have:

Each probability is calculated by dividing number of fakes by total number of gems:

The minus 1 (-1) represent the numbers of fake and total gems left after the first selection




<em>Hence, the required probability is approximately 0.504</em>
For this case we have the following expression:

The roots are:

For example: For x = 0 we have

so it is shown that
is a root.
By definition, multiplicity represents the number of times a root is repeated in a polynomial, in turn it is given by the degree of the term that contains the root.
Thus:
The multiplicity of 0 is 1
The multiplicity of -2 is 3
The multiplicity of -4 is 2
The multiplicity of 5 is 4
Answer:
The multiplicity of 0 is 1
The multiplicity of -2 is 3
The multiplicity of -4 is 2
The multiplicity of 5 is 4
Answer:
The correct option is d. Project B.
Step-by-step explanation:
Note: See the attached excel file for the calculation of the Cumulative Cash Flows of Projects A and B.
Payback period refers to the number of time or period that is needed to recoup the amount of money spent a project. The
payback period rule states that when considering two or more projects, a project with the shortest payback period should be selected.
Payback period can be calculated as follows:
Payback period = Time before full recovery + (Unrecovered cost at start of the time of full recovery / Cash flow during the time of full recovery) ………………. (1)
Using the information in the excel file (in red color), equation (1) can be calculated for Project A and Project B as follows:
Project A payback period = 2 + ($1,000 / $3,000) = 2.33
Project B payback period = 2 + ($3,000 / $10,000) = 2.30
Since the payback period of Project B payback period which is 2.30 is lower than the Project A payback period of 2.33, Project B should be selected.
Therefore, the correct option is d. Project B.