Exponential Growth and Investment Analysis

The video tutorial explains how Tabu invested in a savings bond and a savings account in 2011. It demonstrates how to calculate the accrued value of these investments in 2020 using a given formula. The tutorial also covers solving for the year when the investment will reach a specific value by using exponential equations and logarithms. The process involves substituting values, using a calculator, and applying the change of base formula for logarithms.

What was the initial amount Tabu invested in the savings account?

• $6,000

• $2,000

• $4,000

• $8,000

Tags

CCSS.HSF.IF.A.2

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

• 5.0%

• 4.5%

• 3.5%

• 4.1%

Tags

CCSS.HSF.IF.A.2

In which year does T equal 9 in the context of Tabu's investment?

• 2011

• 2025

• 2015

• 2020

What is the approximate accrued value of Tabu's investment in 2020?

• $2,530.80

• $10,530.50

• $12,530.80

• $1,614.06

What is the target accrued value for which we need to determine the year?

• $2,530.80

• $10,530.50

• $12,530.80

• $1,614.06

What is the first step in solving the exponential equation for T?

• Add 2,000 to both sides

• Multiply both sides by 6,000

• Subtract 2,000 from both sides

• Divide both sides by 1.41

Tags

CCSS.HSF.BF.B.5

Which mathematical concept is used to solve the exponential equation for T?

• Geometry

• Trigonometry

• Algebra

• Logarithms

What is the base of the logarithm used in the calculation?

• 1.41

• 10,530.5

• 6,000

• 2,000

How many years after 2011 will the investment reach the target value?

• 9 years

• 14 years

• 20 years

• 25 years

In which year will Tabu's investment reach the value of $12,530.80?

• 2020

• 2023

• 2028

• 2025