Understanding Account Balances and Growth Rates

The video tutorial explains the balance of three accounts over time, starting from 2012. It confirms that Account C had the largest initial balance. Account A grows at 5% per year, while Account C decreases at 15% per year, not 85% as initially stated. Account A grows faster than Account B, which grows at 3.8% per year. The tutorial clarifies these growth and decay rates using exponential equations.

Which account had the largest balance when the accounts were opened in 2012?

• Account C

• Account A

• All accounts had the same balance

• Account B

What was the initial balance of Account A in 2012?

• $1500

• $5000

• $1100

• $900

How is the growth rate of Account A determined from its equation?

• By examining the exponent

• By looking at the initial value

• By analyzing the base of the equation

• By checking the year of opening

What is the annual growth rate of Account A?

• 3.8%

• 5%

• 15%

• 85%

What is the base value in the equation for Account C?

• 1.038

• 0.85

• 1.05

• 0.15

What is the actual annual decay rate of Account C?

• 15%

• 85%

• 5%

• 3.8%

Why is the statement that Account C is decreasing at 85% per year incorrect?

• The base value is less than 1

• The base value is greater than 1

• The initial value is incorrect

• The exponent is incorrect

What is the growth rate of Account B?

• 5%

• 85%

• 3.8%

• 15%

Which account grows faster, A or B?

• Account A

• Account B

• Neither grows

• Both grow at the same rate

What is the base value in the equation for Account B?

• 1.038

• 0.85

• 0.15

• 1.05