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Section 5.1 – Exponential Functions

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1 Section 5.1 – Exponential Functions

2 Graph using three convenient points
Domain: Range: Intercepts: Asymptotes:

3 Graph using three convenient points
Domain: Range: Intercepts: Asymptotes:

4 Graph using three convenient points
Domain: Range: Intercepts: Asymptotes:

5 Graph using three convenient points
Domain: Range: Intercepts: Asymptotes:

6

7 Compound Interest (Periodically) Compound Interest (Continuously) A – Accumulated Money P – Principal (Initial Amount) r – Interest Rate (in decimal form) t – time (in years) n – Number of times compounded A – Accumulated Money P – Principal (Initial Amount) r – Interest Rate (in decimal form) t – time (in years)

8 Find the compound interest on $100 at 3% semiannually for
2 years Compound Interest (Periodically) A – Accumulated Money P – Principal (Initial Amount) r – Interest Rate (in decimal form) t – time (in years) n – Number of times compounded Total Interest $ $100 $6.13 $100 0.03 2 2

9 Compute the compound interest on $200 at 4% continuously
for one year. Compound Interest (Continuously) A – Accumulated Money P – Principal (Initial Amount) r – Interest Rate (in decimal form) t – time (in years) Total Interest $ $200 $8.16 $200 0.04 1

10 Find the amount of money in an account if $1000 is compounded
continuously for 15 years at a rate of 2 percent. Compound Interest (Continuously) A – Accumulated Money P – Principal (Initial Amount) r – Interest Rate (in decimal form) t – time (in years) $1000 0.02 15

11 Find the amount of money if $1000 is invested:
Compounded continuously for 3 years at 2% Compounded quarterly for 3 years at 2%


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