Exponential Functions Growth Decay Compound

A particular radioactive element has a half life of 25 years. For an initial mass of 10 grams, the mass y in grams after t years is given by
y=10(1/2)^t/25 where t>0
How much does the mass remains after 120 years?

• .682

• .25

• .5

• .359

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

• Horizontal shift left one unit!

• Horizontal shift right one unit!

• Vertical shift up one unit!

• Vertical shift down one unit!

You have inherited land that was purchased for $30,000 in 1990. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

(Round your answer to the nearest cent)

Riley invested $1,000 in savings bonds. If the bonds earn 6.8% interest compounded semi-annually.

How much will Riley have in total 11 years?

(Round your answer to the nearest hundredths)

Sarah won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.8% interest compounded quarterly, how much total will she have in 10 years?

(Round your answer to the nearest hundredths)

Robert invested $5,000 in a money market account with an annual interest rate of 3.75% compounded monthly. If Robert doesn't add or remove any money, how much will be in this account after 25 years?

(Round your answer to the nearest cent)

Solve: 9^(2x+3) = 27^(x-1)

^{(Just write the number)}

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

• Exponential Growth

• Exponential Decay

• Linear

• None

Give the value of the growth factor:
y = 35(1.075)^x

• 35

• 0.075

• 7.5%

• 1.075

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766

• 9006

• 9765

• 5433