Understanding Compound Interest and Graphing with Desmos

The video tutorial demonstrates solving a financial problem using Desmos. It involves calculating the account balance after 12 years and determining the time needed to reach a specific balance. The process includes setting up the function in Desmos, adjusting graph settings, and interpreting the results.

What tool is being used to solve the problem graphically?

• Python

• Microsoft Excel

• Google Sheets

• Desmos

What is the initial amount Jolene invested in her savings account?

• $10,000

• $15,000

• $13,200

• $20,000

What is the interest rate of Jolene's savings account?

• 7.5%

• 6.5%

• 8.5%

• 5.5%

After how many years is the account balance calculated using the function?

• 20 years

• 15 years

• 12 years

• 10 years

What is the account balance after 12 years?

• $35,000

• $31,439.49

• $40,000

• $25,000

What is the target account balance Jolene wants to achieve?

• $75,000

• $69,657.62

• $50,000

• $60,000

What is the purpose of adjusting the graph settings in Desmos?

• To change the color of the graph

• To zoom in on the graph

• To find the intersection point

• To add more data points

What is the horizontal axis referred to in the graph settings?

• t-axis

• x-axis

• z-axis

• y-axis

How many years will it take for Jolene to reach her desired account balance?

• 25 years

• 30 years

• 23 years

• 20 years

What feature of Desmos helps in finding key points on the graph?

• Manual input

• Data import

• Automatic calculation

• Graph coloring