Exponential and Logarithmic Applications

What is the domain of the given function (graph it):

f(x) = log (x + 5) - 2

• {x | x > - 5}

• {x | x > 5}

• {x | x > - 2}

• {x | x > 2}

• 3 (log b - log a)

• log 3b - log a

• 3 log b - log a

• 3 log b + log a

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(.14)³
• y= 7650(.86)³
• y= 7650(1+.86/1)^3*1

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

• 62.8 minutes
• 82.6 minutes
• 25.4 minutes
• 77.4 minutes

• 13.35 billion
• 10 billion
• 9.7 billion
• 52.1 billion

An amount of $2,000 is deposited into a bank paying an annual interest rate of 2.85% compounded continuously. How long will it take for the money to double?

• 21.22 years
• 24.321 years
• 20.12 years
• Not here

Caffeine leaves the body at a rate of 10% each hour. If I drank coffee at 9:00AM which has 95 mg of caffeine, when will I have half the amount left?

• after 6.58 hours
• after 7.27 hours
• after 6.89 hours
• not here

If path of a projectile is modeled by: 
h(t) = -16t² + 20t +6, what is the height after 1 second? 

• 6 feet 
• 20 feet 
• 10 feet 
• 4 feet