Chapter 6 Algebra Assignments

Assignment 14
Section 6.3 / p. 311-313 / 1-6, 7-70(5), 71, 75, 76, 77

Assignment 15
Section 6.4/ p. 317-319 / 5-47(3)

Assignment 16

Click here to print out this assignment individually
Problems employing Natural Logs:
1. Evaluate y = A(b)^(kx)
that is y is equal to A (some amount) times b (the base) raised to the k times x power.
a. When A = 30, b = e and k = .05 and x = 0
b. When A = 15,000, b = 1.08, k = 1 and x = 10
c. When A = 120,000 , b = e, k = -.012 and x = 30
d. Find x when A = 3, b = e, k = 2, y = 445.24
e. Find x when A = 180,000 , b = 3 , k = 2 and y = 20,000

2. One very important exponential equation is the compound-interest
formula: found on page 614. It says:

A = P ( 1 + r/n)^(nt)

...where "A" is the ending amount, "P" is the beginning amount (or "principal"), "r" is the interest rate (expressed as a decimal), "n" is the number of compoundings a year, and "t" is the total number of years. The formula calculates the amount (A) owed a person who leaves their money (P) in an account that compounds interest in n times per year, based on a rate of r % Interest per year, for t years of time.

a. Use this formula to calculate the amount of money $10,000 would earn if it were invested at 4.5 percent per year for 8 years in an account that compounded the interest monthly (12 times per year)

b. Use this formula to calulate what interest rate would need to be paid to double a person intial investment if the account they deposited it in compunded monthly


Section 6.5 / none

Assignment 17
Section 6.6 / p. 333-334 / 15, 19, 21-24, 37-44, 47-48, 55, 58
Section 6.7 / p. 344-347 / 1-6, 35-90(5), 91-99(odd),103,104

Assignment 18
Section 6.8 / p. 350 / 3, 9, 16, 20, 21, 23, 24, 27
Section 6.9 / p. 360-361 / 1-6, 7-34(3), 35-75(5), 81-83

Assignment 19
Section 6.10 / p.372-375 / TBA if we make it this far

Study Group Assignment for Algebra Test

You should start these on your own and then come to your study group to work together on the ones you are having trouble with. Otherwise you will waste your hour completing the work you could have figured out on your own.

pg. 377-379/5, 12-14, 18-22, 27, 28, 33-36, 51-52, 66, 70, 73-76, 80, 83, 95- 100, 115
For number 115, find also the depth at which 99% of the light is filtered out

Also try these:

1. A certain rectangle has perimeter of 108 feet. Its length is 4 more than twice the width. Find the dimensions.

2. A certain mad scientist, wants to blow up a rocket when it is 4000 feet above the ground and release a chemical agent that will attract love bugs from across the state to our campus. If the equation for the height of the rocket t-seconds after launch is h = -16t^2 + 560t , calculate how many seconds the mad scientist needs to time th rockets fuse for explosion at the proper height.