(12/05) Unit 4B: Solving Exponential/Log Functions

A sailboat that costs $5,950 decreases in value by 11% per year. How much will the boat be worth after 6 years?

• $5,884.00

• $5,178.97

• $2,992.96

• $2,957.04

Tags

CCSS.HSF.BF.A.2

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

Tags

CCSS.HSF.BF.A.2

Find the balance in an account that has $300 invested at 6.5% for 4 years compounded semi-annually.

• $387.47

• $496.50

• $7,800.00

• $385.94

Dr. Quander decided to buy a new car, which cost $32,000. He took a 3 year loan from the bank at a rate of 3.1%, compounded monthly, in order to cover the cost of a car. Which equation accurately represents how much Dr. Quander will pay for the car over the course of the 3-year loan?

•  $A\left(3\right)=32000\left(1+\frac{3.1}{12}\right)^{12\cdot3}$  

•  $A\left(3\right)=32000\left(1+\frac{0.031}{12}\right)^3$  

•  $A\left(3\right)=32000\left(1+\frac{0.031}{12}\right)^{12\cdot3}$  

•  $A\left(3\right)=32000\left(1+\frac{0.31}{12}\right)^{12\cdot3}$  

Ms. Peralta bought a new car, which cost her $27,000. Which equation represents the value of the car after 5 years, if the car depreciates at a rate of 20% per year?

•  $A\left(5\right)=27000\left(1+0.20\right)^5$  

•  $A\left(5\right)=27000\left(1-0.20\right)^5$  

•  $A\left(5\right)=27000\left(1-5\right)^{0.20}$  

•  $A\left(5\right)=27000\left(1-0.80\right)^5$  

The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year.  This growth can be expressed by the exponential equation P = 3400(1+.03)^x, where P is the population after t years.  Find the number of years it will take for the population to reach 10,000?

• 20 years
• 26 years
• 30 years
• 36 years

Tags

CCSS.HSF.LE.A.4

• Initial Amount

• Interest Rate

• Time

• Total Balance

Tags

CCSS.HSF.LE.B.5

See picture given!!

Given an investment of $1,500:
Which investment would have a larger balance after 5 years?
Option 1 - 4% compounded monthly
Option 2 - 3.9% compounded daily. 

• Option 1
• Option 2

What is the final balance for an account that you invested $400 at a rate of 35% for 8 months compounded continuously? (HINT: Change 8 months to year)

• $520.07

• $505.71

• $460.11

• $7,643.74