Investment Growth and Time Analysis

The video tutorial explains how to calculate the future value of an investment using an exponential function. It covers the formula for compound interest, demonstrates how to use a calculator to find the future value after a specific number of years, and shows how to determine the time needed to reach a target balance graphically. The tutorial uses a TI-84 calculator and suggests using Desmos for further exploration.

What is the initial amount invested by Jolene?

• $13,200

• $7,500

• $69,662

• $31,439

What is the growth factor in the exponential function?

• 1.075

• 7.5

• 1.75

• 0.075

How is the future value of the investment calculated after 12 years?

• By dividing the initial amount by 12

• By subtracting 7.5% from the initial amount

• By multiplying the initial amount by 1.075 raised to the power of 12

• By adding 7.5% to the initial amount

What is the value of the investment after 12 years, rounded to the nearest cent?

• $13,200.00

• $31,439.00

• $69,662.00

• $31,439.49

What is the desired account balance Jolene wants to achieve?

• $13,200

• $69,662

• $31,439

• $7,500

Which method is used to determine the time to reach the desired balance?

• Geometric series

• Arithmetic progression

• Graphical intersection

• Algebraic substitution

What is the x-axis representing in the graph used for the second question?

• Initial investment

• Interest rate

• Account balance

• Number of years

What is the y-axis maximum set to in the graph for the second question?

• $880,000

• $13,200

• $69,662

• $31,439

How many years does it take for the account balance to reach $69,662?

• 23 years

• 12 years

• 20 years

• 35 years

Which tool is suggested for solving the problem graphically besides the TI-4 calculator?

• Excel

• Desmos

• Google Sheets

• Wolfram Alpha