Growth and Decay and Compound Interest

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

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

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

Which of the following models represents exponential decay?

• y = 5(1 + .05)^t

• y = 5(1 - .05)^t

• y = .8(1 + .05)^t

• y = -2(1 + .05)^t

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Which of the following models represents exponential growth?

• y = 4(1 + .08)^t

• y = 4(1 - .08)^t

• y = .5(1 - .08)^t

• y = 11(1 - .08)^t

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1 + .08)^x

  or y=15,000(1.08)^x

• y=15,000(0.92)^x

  or y=15,000(1 - .08)^x

• y=15,000(0.08)^x

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Emily would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.

• $15,415.94
• $15,683.28
• $15,927.56
• $16,109.05

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

Monthly means how many times a year?

• 4 
• 12
• 52
• 365

Tags

CCSS.3.MD.A.1

Principal: $999
Interest Rate: 5.45%
Time: 19 years
Compounded Quarterly
State the future account balance.

• $2794.10
• $2738.11
• $2774.98
• $2807.11

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.

• $12712.31
• $12,749.30
• $12,657.59
• $12550.84

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2