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 functions.
Essential Questions:
Essential Questions:
What effect does quarterly compounding have on interest rates?
Vocabulary:
Vocabulary:
Quarterly
Quarterly compounding
Quarterly interest rate
Nominal interest rate
Warm Up
Warm Up
Marta invests $5000 at a 6% annual interest rate, compounded annually.
Write a function A(t) that finds the amount Marta has in her account after t years.
Name the y-intercept of the graph of A(t).
After t years, Marta has $6312.38. How many years did it take the account to reach this balance?
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