Embedded Files
Standards Assessed:
Standards Assessed:
PC.F-IF.C.7e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
PC.F-IF.C.8b: Use the properties of exponents to interpret expressions for exponential functions. For example, identify percent rate of change in functions such as y = (1.02)^t, y = (0.97)^t, y = (1.01)^(12t), y = (1.2)^(t/10), and classify them as representing exponential growth or decay.
PC.F-LE.A.4: For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
Learning Targets:
Learning Targets:
Write, graph, analyze, and model with exponential functions.
Calculate compound interest.
Solve exponential equations.
Essential Questions:
Essential Questions:
What effect does continuously compounding have on the interest earned?
Vocabulary:
Vocabulary:
Compounded continuously
e
Depreciates
Exponential decay factor
Half-life
Warm Up
Warm Up
If a nominal interest rate is 6%, what is the quarterly interest rate?
If a monthly interest rate is 0.375% what is the annual interest rate?
To convert a nominal interest rate to a daily interest rate, you would divide by what number?
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