Math 103. Homework 1. Due 2/6/02

1. Find the minimum cost C (in dollars), given that

5(C-25) ł 1.75 +2.5 C

2. Determine whether each of the following statements is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

3. The distribution of income in a certain city can be described by the exponential model y=(2.8) ( 10¹¹)(x)^-1.5, where y is the number of families with an income of x or more dollars. How many families in this city have an income of $20,000 or more?

4. Simplify each of the following expressions.

(4x²)(x²+4)(2x+8)-(x²+8x-4)(4x³)

(b)

6(2x+1)²(x²+x)^1/2 + (2x+1)⁴
2(x²+x)^1/2

5. A furniture store offers free setup and delivery charges to all points within a 25 mi radius of its warehouse distribution center. If you live 20 mi east and 14 mi south of the warehouse, will you incur a delivery charge? Justify your answer.

Suggested Exercises. Page 12 Odds # 1--123, Page 26 Odds #1--103.