Applications of Exponential and Logarithmic Functions

1
Applications of Exponential and Logarithmic
Functions

• Investment
• An amount of 7250 is invested at 6.5,
  compounded monthly. How long will it take to
  have an accumulated amount of 15,000?

2
Applications of Exponential and Logarithmic
Functions

• Depreciation
• The value of an earth mover is given by

t years C original cost n life
expectancy V(t) value at time t
If the cost of the earth mover is 50,000 and
the life expectancy is 20 years, how long will it
take for the machine to be worth only 20,000?
3

• Newtons Law of Cooling

A bottle of juice at 70 degrees is left in a
refrigerator which is 45 degrees. Ten minutes
later, the bottle of juice is 55 degrees. a)
What is the temperature of the juice after 15
minutes? b) When will the temperature of the
juice be 50 degrees?
t time T0 initial temperature T final
temperature C temperature of medium k
constant