Algebra 2 Exponential Functions

Jason puts $545 into a savings account that earns 3% annually.  The amount in his account can be modeled by A(t) = 545(1.03)^t  where t is the time in years.  Which expression best approximates the amount of money in his account using a weekly growth rate?

Stephanie found that the number of white-winged cross bills in an area can be represented by the formula C= 550(1.08)^t, where t represents the number of years since 2010.  Which equation correctly represents the number of white-winged cross bills in terms of the monthly rate of population growth?

• C= 550(1.00643)^t

• C= 550(1.00643)^12t

• C = 550(1.00643)^t/12

• C = 550(1.00643)^t+12

• Growth

• Decay

• Growth

• Decay

• exponential growth because r>0

• exponential growth because r<0

• exponential decay because r>0

• exponential decay because r<0

You deposit $5,000 in an account that earns 3% interest compounded continuously. Which equation could be used to determine how much money would be in the account after 8 years?

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54

• $2,225.54

• $22,255.40

• $225.54

An initial investment of $800 is compounded continuously at a 2.5% interest rate. Find the value after 10 years.

• $1027.22

• $9746

• $1024.07

• $876.70

Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

Damara invests $3500 at 2% compounded continuously for 5 years. How much will she have in her account after 5 years?