Exponential Growth and Decay Functions

Front

What is the decay factor for a value decreasing at a rate of 8% per year?

Back

0.92

Front

What type of function is y = 7(5/4)^x?

Back

Exponential GROWTH

Front

If you invest $1600 at an annual interest rate of 4.6% compounded continuously, how much will you have in the account after 4 years?

Back

$1,923.23

Front

What does the 'r' stand for in the formula A = Pe^(rt)?

Back

Rate

Front

What is the general form of an exponential growth function?

Back

y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.

Front

What is the general form of an exponential decay function?

Back

y = a(1 - r)^t, where a is the initial amount, r is the decay rate, and t is time.

Front

How do you calculate the amount after n years for continuous compounding?

Back

A = Pe^(rt), where P is the principal, r is the rate, and t is time.

Front

What is the difference between exponential growth and linear growth?

Back

Exponential growth increases at a rate proportional to its current value, while linear growth increases by a constant amount.

Front

What is the formula for the half-life of a substance undergoing exponential decay?

Back

Half-life = ln(2) / r, where r is the decay rate.

Front

If a population of bacteria doubles every 3 hours, what is the growth factor?

Back

2 (the population doubles).