pre calculus

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Worksheet by Kuta Software LLC

MATH 113 - Pre Calculus

HW #6 - Worth 30 points

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Date________________

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Solve using a system of equations. (Worth 6 points).

1) To make ends meet, Ms. Farnsby works three jobs. Her total income last year was$48,000. Her income from teaching was just $6000 more than her income from house painting. Royalties from her textbook sales were one-seventh of the total money she received from teaching and house painting. How much did she make from each source last year?

Solve each system of equations. (Each worth 4 points)

2) 4x2 + 3y2 - 6x - 1 = 0 x + 3y - 4 = 0

3) x2 + y2 + 3x + 33y + 176 = 0 x + y = -4

4) x2 - y2 - 10y - 89 = 0 x2 + y2 + 10y - 39 = 0

5) 1

x +

1

y = 5

1

x -

1

y = -3

6) A small television is advertised to have a picture with a diagonal measure of 5 inches and a viewing area of 12 square inches (in2). What are the length and width of the screen?

Use the Compound Interest formula. (Each worth 2 points).

7) How much should a mother invest at the time her son is born to provide him with $80,000 at age 21? Assume that the interest is 7% compounded quarterly.

8) Mary purchases a 12-year bond for $60,000. At the end of 12 years, she will redeem the bond for approximately $95,600.00. If the interest is compounded quarterly, what was the interest rate on the bond?