6.0 Exam - Jennifer Pariseau | Library

3

Solve for x: 2 ·4^x +7=135

3

The data points below represent the total assets invested in index funds in the US each year since 1993. Analyze the results of the exponential regression model shown. Which of the following statements is true?

3

Which of these functions has an asymptote at y = 2?

3

Look at the graph. Which of the four functions has the smallest value for b (Hint: Smallest Growth Factor)?

3

Evaluate

3

Kendall completed her med school training 10 years ago and is now a successful highly-paid surgeon at a major hospital. What type of account would be most beneficial for Kendall to use to start saving for retirement, so she can enjoy time off after a stressful career?

3

Each of the following factors impacts how much money you will have available at retirement EXCEPT…

3

Ash remembers learning about both 401(k)s and IRAs in his personal finance class during high school. He’s early in his career, and he can really only afford to fund one type of account with about $100 per month right now. What should he do?

3

Which type of fund is usually passively managed, can be traded throughout the day, and is bought directly from other investors like a stock?

3

If you invest money into an index fund that tracks the Dow Jones Industrial Average, you would expect…

3

Which fund will most working American citizens have access to at retirement?

3

Alma recently started investing in a target-date fund with a planned retirement date that is 38 years in the future. How is the portfolio in her TDF most likely allocated?

3

Alberto has decided to invest his retirement money into a mutual fund filled with mid-sized US companies. The fund manager is…

3

The S&P 500 is…

3

All of the following are true about robo-advisors, EXCEPT…

3

All of the following are factors to consider when opening a brokerage account EXCEPT

3

Which statement about the investment fees associated with mutual funds is true?

3

In 2022, Noah decided to start investing in a target-date fund at Alpine brokerage. They are 24 years old, have been working for 5 years, and are planning on retiring at 67. Which target-date fund should they choose?

3

Zora has $5,000 to invest. When assessing her goals, she decides that she wants to create a low-risk, low-volatility portfolio. Based on this assessment, a good strategy for Zora would be:

3

Which of the following is an example of the bias of Chasing Trends?

10

The data points represent a fund’s prices over time. Based on the exponential regression model…

a.  Write the equation for the fund’s predicted price after x years. Round to the nearest hundredth._______ 
b. Based on the model, predict the fund’s approximate price after 6 years. Show your work or explain your reasoning and screen shot your caclulations if you use Desmos. _______ 

5

Is this model a good fit for the data? Why or why not?

5

Use the change of base formula to evaluate 
Round your answer to 2 decimal places._______ Screen shot your Desmos calculations for full credit. 

Antonina goes on Wheel of Fortune and wins $12,000 after taxes.  She decides that she will invest this money with the goal of putting a $20,400 down payment on a house.  She puts the money in a mutual fund that has had a historical return of 7.5%.

5

Write an exponential equation that represents Antonina’s investment where x represents years and f(x) represents her investment after x years. Assume the mutual fund earns a 7.5% annual rate of return._______ 

7

Calculate how long it will take to reach her investment goal.  

Round to 2 decimal places.  Screen shot your desmos calculations for full credit.  
x=_______ 
Or
_______ years and
_______ Months

8

Sketch the graph of the exponential function 
 in desmos and screen shot your picture and paste in show your work.  
As x gets large, y →_______  
As x gets small, y → _______ 
Asymptote: y = _______ 