Exponential Growth and Decay Word Problems

Front

What does the P stand for in the exponential growth/decay formula?

Back

Initial amount

Tags

CCSS.HSF-IF.C.8B

Front

Is a population decreasing at a rate of 0.5% each month considered growth or decay?

Back

Decay

Tags

CCSS.HSF-IF.C.8B

Front

How many times a year does 'Semi-Annually' mean?

Back

2

Front

What is the formula for compound interest compounded semi-annually?

Back

A = P(1 + r/n)^(nt) where n = 2

Front

If Karla invested $1,000 at 6.75% interest compounded semi-annually, what is the equation to find her amount after 15 years?

Back

A = 1000(1 + 0.0675/2)^(2*15)

Tags

CCSS.HSF-LE.A.1C

Front

What is the formula for continuous compounding?

Back

A = Pe^(rt)

Front

If Dash invested $1,000 at 10% interest compounded continuously, how much will he have after 10 years?

Back

$2718.28

Front

What does the variable 'r' represent in the exponential growth/decay formula?

Back

The rate of growth or decay

Tags

CCSS.HSF-IF.C.8B

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for exponential decay?

Back

A = Pe^(-rt) where A is the amount remaining.

Tags

CCSS.HSF-LE.A.1A