Compound Interest, Compound Continuously, Growth and Decay and Exponential Functions

Is y = 4(.20)^x growth or decay?

• Growth

• Decay

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

If $5000 is invested in an account with an annual interest rate of 6% compounded monthly, what will be the balance after 10 years?

• Growth

• Decay

If the population of a town is 10,000 and it decreases by 5% each year due to migration, what will be the population after 3 years?

• 8,573.75

• 9,150.00

• 8,500.00

• 7,225.00

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth

• Decay

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y = 5000(0.7)^x

• y = 30(5000)^x

• y = 5000(1.3)^x

• y = 5000(0.3)^x

A population of fish starts at 8,000 and decreases by 6% per year. What is the approximate population of fish after 10 years?

• 14327

• 4309

• 839

• 7680

A population growing at an annual rate r will triple in a time t given by the formula A = (1 + r)^t. If the growth rate remains constant and equals 6% per year, about how long will it take the population of the town to triple?

• 18.3 years

• 8 years

• 0.8 years

• 1.8 years

Find the total amount in the account to the nearest cent if the interest is compounded annually.

$2750 at 8% for 2 years

• $2200

• $3207.60

• $8910

• $3222.06