Compound and Exponential Functions Growth and Decay

Write the percent .5% as a decimal.

• .05

• 5.00

• .005

• .0005

Tags

CCSS.5.NBT.A.3

CCSS.5.NBT.B.7

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

• 839

• 4309

• 14327

• 7680

Tags

CCSS.HSF-LE.A.1C

Interest "compounded quarterly" is compounded is to divide by?

• 12

• 4

• 10

• 8

Tags

CCSS.HSF.LE.A.1

You invest $400 at an interest rate of 4.29% that compounds monthly. Which equation models this?

• y=400(1+ 4.29)^t/12

• y=400(1+.0429/12)^12t

• y=400e0.049*5

• y=400(1 - 0.0429)^t

Tags

CCSS.HSF-LE.A.1C

Classify the model as Exponential GROWTH or DECAY.

A=10(1.01)3

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, what is an equation to model this?

• f(x) = 3000(1.029)^4t

• f(x) = 3000(1.29)^t

• f(x) = 3000(1.029/4)^4t

• f(x) = 3000(.971)^4t

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.LE.B.5

Principal: $5000

Interest Rate: 3.75%

Time: 25 years

Compounded Monthly

State the future account balance.

• $12,657.59

• $12712.31

• $12,749.30

• $12550.84

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.1

The Arnold's took out a loan for $195,000 to purchase a home. At 4.3% interest rate compounded annually, how much will they have paid after 30 years?

• $412,749.79

• $689,546.99

• $529.305.61

• $640,891.53

Tags

CCSS.HSF-LE.A.1C

Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?

• y= 7650(.86)3

• y= 7650(.14)3

• y= 7650(1+.86/3)¹

• y= 7650(3)¹⁴

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.B.5

CCSS.HSF.IF.B.4

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?

• $16,710.94

• $23,219.72

• $136.72

• $51,710.94

Tags

CCSS.HSF.BF.A.2