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Compound Interest Calculator
AP Precalculus Ā· Unit 2 Exponential Functions
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Learning Objectives
Compare discrete vs continuous compounding
Calculate future value with A = P(1 + r/n)^(nt)
Understand the limit as nāā gives A = Pe^(rt)
Visualize the Rule of 72 for doubling time
Key Equations
\(A = P\left(1 + \frac{r}{n}\right)^{nt}\)
\(A = Pe^{rt}\) (continuous)
\(t_{double} \approx \frac{72}{r\%}\) (Rule of 72)
Tags
compound interest
continuous growth
Rule of 72
e^rt
AP Precalculus
Final (n)
$0
Final (cont)
$0
Interest Earned
$0
Principal ($)
$1,000
Rate (%)
6.0%
Time (years)
10
Compounding (n/yr)
12
Quick Compounding
Annual
Quarterly
Monthly
Daily
Results
Discrete A
$0
Continuous A
$0
Doubling Time
0 yr
Total Interest
$0
Display
Continuous
Principal Line
Quick Quiz
$5000 at 8% compounded quarterly for 3 years. Which formula?
A = 5000(1+0.08/4)^(4Ā·3)
A = 5000(1+0.08)^3
A = 5000Ā·e^(0.08Ā·3)
A = 5000(1+0.08/12)^(12Ā·3)