Exponential Function Applications

What is the horizontal asymptote and what transformations have taken place?
y = 2^x+2 + 1

• y = 2
  right 2, up 1
• y = 1
  left 2, up 1
• y = 1
  right 2, up 1
• y = 2
  right 1, up 2

Which equation matches the graph?

• y = 2^x+3
• y = 2^x + 3
• y = 2^x
• y = 2^-x

Cade earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?

• $827.52
• $831.10
• $839.45
• $846.80

Olivia 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

Given the following equation
 $y=320\left(\frac{1}{2}\right)^{\frac{5}{8}}$  
Which is true?

• 320 is the amount of time it takes for the value to be at half the original amount. 

• 1/2 is the amount of time it takes for the value to be at half the original amount. 

• 5 is the amount of time it takes for the value to be at half the original amount. 

• 8 is the amount of time it takes for the value to be at half the original amount. 

Florine-21 has a half-life of 4 seconds. You begin with a 50 mg sample of Florine-21.

Which exponential equation would represent the amount of Florine-21after t seconds.

• $f\left(t\right)=50\left(\frac{1}{2}\right)^{\frac{t}{2}}$

• $f\left(t\right)=50\left(\frac{1}{2}\right)^{\frac{2}{t}}$

• $f\left(t\right)=50\left(\frac{1}{2}\right)^{\frac{4}{t}}$

• $f\left(t\right)=50\left(\frac{1}{2}\right)^{\frac{t}{4}}$

The half-life of cobalt-60 is 5.26 years. Given a sample of 147 grams, approximately how much cobalt 60 will be left after 15 years?

• 115 grams

• 94 grams

• 73 grams

• 20 grams

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54
• $2,225.54
• $22,255.40
• $225.54

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

What is the y-intercept of $y=e^x-3$ ?

• -3

• 0

• -2

• 3