# Logarithm Function

Chels is a recent business grad and has been offered entry level positions with two firms. Firm A offers a starting salary of 40,000 per year with a 2000 per year increase guaranteed each subsequent year. Firm B offers a starting salary of 38500, with a 5% increase every year after that.

a) after how many years will Renata earn the same amount at either firm?

b) what other factors might affect Chels's choice, such as opportunities for promotion? Explain how these factors may influence her decision.

So my attempt at question a) is like this:

40,000(2000)^t = A(t) for firm A
38,500(1.05)^t = A(t) for firm B

Is this wrong or right and could you provide me with the correct equation if this is wrong as well?

1. 👍 0
2. 👎 0
3. 👁 807
1. no
although I would love to have the salary stated by your
a(t) = 40,000(2000)^t

the offer from Firm A is an arithmetic sequence, while Firm B's plan is a geometric sequence
your equation for the second offer is correct

Plan A would be
A(t) = 40000 + 2000t

so you are solving
38000(1.05)^t = 40000 + 2000t

after a few trial and error substitutions I got

t = 7, LS = 54173, RS = 54000
t = 8, RS = 56882, RS = 56000

so between 7 and 8 years time, the two offers would be the same.

1. 👍 0
2. 👎 2
2. t = 6, LS = 51593, RS = 52000

so the salaries are about equal between 6 and 7 years.

ignore the previous conclusion

1. 👍 1
2. 👎 0

## Similar Questions

1. ### US History

Use the quotation to answer the question. It is said that the quality of recent immigration is undesirable. The time is quite within recent memory when the same thing was said of immigrants who, with their descendants, are now

2. ### Language arts pls check my answer

Where is the part of speech located in a dictionary entry?(1 point) a. in the numbered definitions that follow the entry word b. before the entry word c. after the pronunciation d. in parentheses after the entry word i think the

3. ### Microeconomics - Oligopoly

Two firms decide to form a cartel and collude in a way that maximizes industry profits. Each firm has zero production costs and each firm is given a positive output quota by the cartel. Which of the following statement(s) are NOT

4. ### statistics

Average entry level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the average mechanical

1. ### Customer Relations and servicing

What are some large scale economic shifts that have created our present service economy? What are some more recent developments that have given rise to our business environment? How would you characterize the most important

2. ### Social Studies

Maria ivanov has owned a successful clothing boutique chain for 20 years. Sha has gone into debt several times to expand her business.each time she paid off the debt in full sooner than expected. How will Maria's record affect the

3. ### Economics

Do government statisticians calculate GDP by simply adding up the total sales of all business firms in one year

4. ### stats

A study by Hewitt Associates showed that 79% of companies offer employees flexible scheduling. Suppose a researcher believes that in accounting firms this figure is lower. The researcher randomly selects 415 accounting firms and

1. ### chemistry

Using a periodic table, determine the number of electrons held in energy levels 1-3 of each atom. B----2 in level 1--3 in level 2--0 in level 3 C--2 in level 1--4 in level 2--0 in level 3 Mg--2 in level 1--8 in level 2--2 in level

2. ### Economics

Explain two barriers to entry for a new business.

3. ### Economics

Are large and powerful firms easier targets for union organization than small firms?

4. ### Social Studies

Maria Ivanov has owned a successful clothing boutique chain for 20 years. She has gone into debt several times to expand her business. Each time, she paid off the debt in full sooner than expected. Use the scenario to answer the