Solving Exponential Problems

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%.
What is the multiplier for this problem?

• 1.045 

• .045 

• .955

• 1.955

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

The inverse function of an exponential function is known as a...?

• quadratic function

• square root function

• absolute value function

• logarithmic function

The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?

• 29 to 30 years

• 23 to 24years

• 15 to 16 years

• 19 to 20 years

You have $50,000 to invest and you want $75,000. How much longer would it take if you use an account that gets 3.5% compounded daily, when compared to an account that gets 4.5% compounded continuously? (only round final answer)

• 11.6 years

• 9 years

• 2.6 years

• 5.9 years

The equation Q = 12e^{-.09t is given to show the amount of an element remaining after t years. how long will it take for the element to reach 3 mg?}

• 4.5 years

• 12.7 years

• 2.7 years

• 15.4 years

A car valued at $22,000 depreciates at a fixed rate of 9% per year. After how many years will the value have depreciated to $9,000? Solve using logs.

• 9.5 years

• 10.7 years

• 8.9 years

• 2.3 years

how long does it take for a population to triple with a continuous rate of 5%?

• 13.9 years

• 22 years

• 21 years

• 20 years

You brought a piece of artwork for $1,000 and it's now worth $1233.67 after 4 years. what is the continuous rate of the artwork?

• 4.75%

• 4.25%

• 3.75%

• 5.25%

Mr. thingamajig invested an amount of money at a rate of 2.85% continuously. After 6 years, his balance was $1,779.74. How much was his original investment.

• 1550

• 1450

• 1500

• 1600