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In this last section of this chapter we have to look at some applications of exponential & logarithm functions.
Compound Interest
This first application is compounding interest & there are in fact two separate formulas which we'll be looking at here. Let's get first those out of the way.
If we were to put P dollars in an account which earns interest at a rate of r (written as a decimal) for t years (yes, it have to be years) then,
1. if interest is compounded m times per year we will have t m
A = P (1 + (r /m)tm
dollars after t years.
2. if interest is compounded continuously then we will have
A = Pert
3y+2.5x+3.4 use graphing calculator and the x intercept approach. Use window[-3,3,1][-3,3,1]
There is interesting relationship among the graph of function and its inverse. Here is the graph of the function & inverse from the first examples. We'll not deal along with the
Write this decimal as a percent. .35
A v\certain mountain had an elevation of 19,063 ft. In 1911 the glacier on this peek covered 8 acres. by 2000 this glacier had melted to only 1 acre. what is the yearly rate of ch
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