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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
x2 -x = 7 -3 -5 1 5 -3
ue Week 7 and worth 55 points Five (5) years ago, you bought a house for $171,000, with a down payment of $30,000, which meant you took out a loan for $141,000. Your interest rate
2x-3y=2 5x+4y=28
Give all solutions of the nonlinear system of equations including those with nonreal complex compents: xy=-20 3x+5y=5
It is probably the easiest function which we'll ever graph and still it is one of the functions which tend to cause problems for students. The most general form for the constant
log(mn)
A board 13 3/5 feet long is cut into 4 equal pieces to make a book shelf. What is the length of each shelf?
Example If 8 ×10 14 joules of energy is released at the time of an earthquake what was the magnitude of the earthquake? Solution There actually isn't much to do here o
7x to the 2 power y -9x to the 2 power y-2x to the 2 power y
How do you simplfly 25 and 15 if u say 5 and the teacher thinks it''s wrong?
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