Compound Interest Lesson

​How to convert from a decimal or percentage

​Percentage to Decimal:

​12%

​DIVIDE to get to DECIMAL:

​12/100= .12

​

​Decimal to Percentage:

​.75

​MULTIPLY to get to PERCENTAGE:

​.75x100= 75%

Fill in the Blanks

Convert 92% to a decimal

Multiple Choice

Craig deposits $5,000 at 5.12% interest, compounded continuously for four years. What would his ending balance be to the nearest cent?

• $613.40

• $6,136.40

• $61,364

• $613,640

Multiple Choice

Find the future value of $500 invested at 12% for 10 years compounded annually.

• $1,052.92

• $1,552.92

• $10,529.20

• $15,529.20

Exp Growth and Decay Formula

​

Multiple Choice

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

​Exponential Growth

​(1 + r) is the constant multiplier or growth factor. A number over one shows GROWTH. A number between 0 and 1 and shows DECAY.

​Writing Exponential Growth as a Function

Fill in the Blanks

This year, Hillsdale recycled 52,461 tons of material. If this amount increases by 7% each year, how much material will be recycled 4 years in the future? If necessary, round your answer to the nearest tenth.

Fill in the Blanks

Identify the Percent Rate of Change.

$f\left(x\right)=500\left(1.08\right)^t$  

Multiple Choice

Is this exponential growth or decay?

• Growth

• Decay

​Exponential Decay

Multiple Choice

The equation that models how much Acetaminophen is in his body is

$$y=400\left(0.86\right)^x$$  

Calculate how much medicine is left after 10 hours

• 400 milligrams

• 344 milligrams

• 89 milligrams

• 11 milligrams

Fill in the Blanks

Identify the Percent Rate of Change.

$f\left(x\right)=4\left(0.95\right)^t$  

Multiple Choice

Is the following function an example of decay or growth?

f(x) = 2(1.25)^x

• Exponential Growth

• Exponential Decay

Multiple Choice

Is the following function an example of decay or growth?

f(x)=13(.27)^x

• Exponential Growth

• Exponential Decay