Exponential Natural Base

• exponential growth because r>0

• exponential growth because r<0

• exponential decay because r>0

• exponential decay because r<0

If k is positive in e^kx, what happens as x increases?

• exponential growth

• decay

• grows in the negative direction

• stays constant

Logarithms are the inverse of __________.

• Trees

• Quadratics

• Square

• Exponential

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y=720,500(1.022)^x, where x is the number of years since January 1980. What is the was the population of Brownville in 1980?

• 102.2 people

• 720,500 people

• 1.022 people

• 1022 people

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e" LN_e

If k is negative in e^kx, what happens as x increases?

• Growth

• Slow growth

• decays towards zero

• stays constant

• Gets large and negative

Jasmine puts $4000 into an a savings account which offers 8% interest and compounds interests continuously for 3 years. Which expression could be typed into the calculator to see how much money Jasmine will have after 3 years?

• 4000(1+.08)³

• 4000e^(.08)(3)

• 4000(1+3)^.08

• 4000(1+.08/3)³⁽³⁾

Hannah invested $4000.  How much money will she have in 15 years if the interest rate of 6% is being compounded continuously? 

• 9839.42

• 32412.71

• 9838.41

• 32412.72

Phoenix has $1,275 to invest in an account that pays 7% interest per year, compounded continuously. How long will it take for the amount to be $5050?

• 17.85 years

• 21.43 years

• 14.31 years

• 19.66 years