Presentation is loading. Please wait.

Presentation is loading. Please wait.

Algebra 2cc Section 5.3 Define and apply the number “e”.

Similar presentations


Presentation on theme: "Algebra 2cc Section 5.3 Define and apply the number “e”."— Presentation transcript:

1 Algebra 2cc Section 5.3 Define and apply the number “e”.
Exponential functions can have any positive base other than 1. One unusual base is an irrational number called “e”. What is “e”? e≈ … e is irrational. Discovered by Leonard Euler n (1+1/n)n Evaluate. e3 e-.72 e1.7 e-2.7

2 Simplify (e3) (e5) (5e-2) (4e7) (2e4) e6 5e2

3 Graph with a calculator, state the domain, range, y intercept and the equation of the asymptote.
y = 2e.5x y = 3e-.7x + 2

4 Compounded Interest Formula A = P(1 + r/n)nt
Continuously Compounded Interest Formula A = Pert P = initial amount r = interest rate t = time A = final amount You invest $12,000 in a bank that pays 3.2% compounded continuously. What will it be worth in 8 years?

5 The air pressure P at sea level is about 14. 7 pounds per square inch
The air pressure P at sea level is about 14.7 pounds per square inch. As the altitude h (in ft above sea level) increases, the air pressure decreases. The relationship between air pressure and altitude can be modeled by: P = 14.7 e h Mount Everest in Tibet rises to a height of 29,028 ft above sea level. What is the air pressure at the summit of Mount Everest?

6 assignment Page 483 Problems even, all, even, 86,90,92


Download ppt "Algebra 2cc Section 5.3 Define and apply the number “e”."

Similar presentations


Ads by Google