WorksheetsCompound and Exponential Functions Growth and Decay
Total questions: 12
Worksheet time: 6mins
Write the percent .5% as a decimal.
.05
5.00
.005
.0005
A population of fish starts at 8,000 and decreases by 6% per year. What is the approximate population of fish after 10 years?
839
4309
14327
7680
Interest "compounded quarterly" is compounded is to divide by?
12
4
10
8
You invest $400 at an interest rate of 4.29% that compounds monthly. Which equation models this?
y=400(1+ 4.29)^t/12
y=400(1+.0429/12)^12t
y=400e0.049*5
y=400(1 - 0.0429)^t
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
Growth
Decay
Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly, what is an equation to model this?
f(x) = 3000(1.029)^4t
f(x) = 3000(1.29)^t
f(x) = 3000(1.029/4)^4t
f(x) = 3000(.971)^4t
Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
$12,657.59
$12712.31
$12,749.30
$12550.84
The Arnold's took out a loan for $195,000 to purchase a home. At 4.3% interest rate compounded annually, how much will they have paid after 30 years?
$412,749.79
$689,546.99
$529.305.61
$640,891.53
Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?
y= 7650(.86)3
y= 7650(.14)3
y= 7650(1+.86/3)1
y= 7650(3)14
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
$16,710.94
$23,219.72
$136.72
$51,710.94
Which formula should be used whem computing a compound continuously exponential problem
A = P (1 + r) t
A= Pert
A = PxRxT
A = eprt
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
$2,225.54
$1,225.54
$22,255.40
$3,225.54
