Slide 2:
In college, we study large volumes of information -
information that, unfortunately, we do not often retain for
very long. The function
f(x) = 80e -0.5x + 20
describes the percentage of information, f(x), that a
particular person remembers x weeks after learning the
information 1. Find the percentage of information remembered at the
moment it is first learned. F(0) = 80e-0.5(0) + 20 f(0) = 100
Slide 3:
f(x) = 80e-0.5x + 20 2. Find the percentage of information that is remembered
after 1 week.
3. Find the percentage of information that is remembered
after 4 weeks.
4. Find the percentage of information that is remembered
after one year. F(1) = 80e-0.5(1) + 20
= 69 F(4) = 80e-0.5(4) + 20
= 31 F(52) = 80e-0.5(52) + 20
= 20
Slide 4:
Compound Interest Formula Continuously Compounding A = ending amount
P = beginning amount
R = rate
N = number of times interest Is applied per year
T = time
Slide 5:
1. Find the value of an investment of $10,000 for 5 years at an interest
rate of 5.5% if the money is
a. compounded semiannually
b. compounded monthly
c. compounded continuously