Exponential Word Problems

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Presentation transcript:

Exponential Word Problems 8/19 Objective: Students will be able to use compound interest to solve problems. CCSS: A-CED.2 Exponential functions Essential Question: How much will your dream car be worth in five years with continuous compounded interest? Compound Interest nt n A = the accumulated amount after t number of years P = Principle (Original Amount) r = Nominal interest rate per year n = Number of periods/year t = Number of years

Objective: Students will be able to understand exponential functions and how they are used. CCSS: A-CED.2 Exponential functions Essential Question: How much will your dream car be worth in five years with continuous compounded interest? Ex 1. Find the accumulated amount of money after 5 years if $4300 is invested at 6% per year compounded quarterly. Find the growth rate.

Ex 2. How many years would it take for a $4300 investment at 6% per year compounded quarterly to reach $6924.

Continuous Compound Interest Objective: Students will be able to understand exponential functions and how they are used. CCSS: A-CED.2 Exponential functions Essential Question: How much will your dream car be worth in five years with continuous compounded interest? Continuous Compound Interest A = the accumulated amount after t years P = Principle (Original Amount) r = Nominal interest rate per year t = Number of years

Objective: Students will be able to understand exponential functions and how they are used. CCSS: A-CED.2 Exponential functions Essential Question: How much will your dream car be worth in five years with continuous compounded interest? Ex 2. Find the accumulated amount of money after 25 years if $7500 is invested at 12% per year compounded continuously.