Algebra Assignment Number 5

.

Please remember to show ALL of your work on every problem. If there is no work to show, then include a sentence or two explaining your answer.

Here are the basic rules of showing work:

a) Each step should show the complete expression or equation rather than a piece of it.

b) Each new step should follow logically from the previous step, following rules of algebra.

c) Each new step should be beneath the previous step.

d) The equal sign, =, should only connect equal numbers or expressions.

Determine whether the following function is one-to-one, and if the function is one-to-one, find a formula for the inverse.

1) Determine whether the following function is one-to-one, and if the function is one-to-one, find a formula for the inverse.

2) Determine whether the following function is one-to-one, and if the function is one-to-one, find a formula for the inverse.

3) Suppose $100,000 is invested at 2.5% interest, compounded quarterly.
a) Find the function for the amount to which the investment grows after t years.

b) Find the amount of money in the account at t = 0, 3, 6, and 10 years.

4) Following the birth of her child, Nancy deposits $20,000 in a college fund where interest is 2.9%, compounded semiannually.
a) Find a function for the amount in the account after t years.

b) Find the amount of the money in the account after 25 years.

5) Convert to a logarithmic equation
a)

b)

6) Convert to an exponential equation

a)

b)

7) Express the following in terms of Sum (or Difference) of logarithms

8) Express the following in terms of Sum (or Difference) of logarithms

9) Express as a single logarithm and, if possible, simplify

56
()
23
x
fx
x
–
=
+
3
()27
fxx
=-
0.84509804
107
=
R
MW
=
ln453.80666249
=
5
log
B
TW
=
52
log
B
TWZ
2
10
log
7
A
B
28
ln3lnln
xxx
+-
5
()
3
fx
x
=
+