Answer:

And using the complement rule we got:

Explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
For this case wwe know that p = 0.52 and n = 99 and we can check if we can use the normal approximation for the proportion distribution.


So then we can use the normal approximation.
The population proportion have the following distribution
The mean is given by:

And the standard error is given by:

We want to calculate this probability:

And for this case we can calculate the z score given by:

And replacing we got:

And using this formula:

And using the complement rule we got:

Answer:
d. compound interest
Explanation:
Compound interest basically means that previously earned interests will earn interests on their own. For example, you invest $100 and receive a 5% yield. At the end of year 1 you will have $105. At the end of year 2 you will have $105 x 1.05 = $110.25. The $5 in interests previously earned during year 1 will earn $0.25 interest during year 2.
The cost to produce today = 74000
At a discount of 12%, the future value of costs in 5 years = PV*(1+r)^n where PV = 74000, r= 12% = 0.12 and n = 5 years = 5
The value of costs in 5 years = 74000*(1+0.12)^5
The value of costs in 5 years = 74000*1.12^5
The value of costs in 5 years 130,413.28
Price in 5 years = 138,000
Profit = 138,000-130,413.28 = 7,586.72
The profit the firm will make on this asset (considering time value of money) = $7,586.72
Answer
The answer and procedures of the exercise are attached in the following archives.
Explanation
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.