Precalculus Exponential Functions

$5000 is put into an account earning 1.3% interest. How much money is in the account after 10 years if interest is compounded continuously ?

Round to the nearest two decimal places.

Mathematical Equivalence

ON

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

Select all the equations that represent exponential decay.

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased by 5% per year. How much is the home worth today?

• $176,783.29

• $424,527.63

• $57,357.75

• $532,041,076.80

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%

• 13%

• 800%

• 8.7%

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

• The predicted increase in number of elephants in the refuge each year.

• The predicted decrease in number of elephants in the refuge each year.

• The number of years it will take for the elephant population to stop increasing.

• The initial amount of elephants in the park.

Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)^3x

• Exponential growth

• Exponential decay

• Linear

• None of the above

$5000 is put into an account earning 1.3% interest. How much money is in the account after 10 years if interest is compounded quarterly ?

Round to the nearest two decimal places.

Mathematical Equivalence

ON

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

• Exponential Growth

• Exponential Decay

• Linear

• None