By Daniel Tanre

ISBN-10: 3540127267

ISBN-13: 9783540127260

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**Example text**

Find at least two points on L, preferably intercepts, and as a check find a third point. If x ϭ 0, then y ϭ 0. Thus, L passes through the origin. If x ϭ 2, y ϭ Ϫ3; if x ϭ Ϫ4, y ϭ 6. Thus, L passes through the points (0, 0), (2, Ϫ3), and (4, 6) [Fig. 1-18(a)]. 12. Show that the equations y Ϫ 2 ϭ 3x ϩ 3 and 6x Ϫ 2y ϭ Ϫ 10 have the same graph. common graph. Find their Solve each equation for y in terms of x. Both equations yield y ϭ 3x ϩ 5. Hence, both equations have the same graph. If x ϭ 0, y ϭ 5; and if x ϭ 1, y ϭ 8.

Harry has two job offers. Company A offers $24,000 annual salary to start and guarantees a $3000 raise at the end of each year for 7 years. Company B offers a $24,000 annual salary and guarantees a 10% increase in salary at the end of each year for 7 years. (a) Describe the growth in salary in each case. (b) Give a formula for the salary after t years in each case (0 ≤ t ≤ 7). (c) Which job offer results in a higher annual salary at the end of the seventh year? (a) In the case of Company A, the growth in salary is linear because the difference in salary from year to year differs by the constant amount of $3000.

A) Find each projected sale in 2010. (b) Find the year that B expects to sell more than A. 41. The population of a town grew linearly between 1995 and 2002. Suppose the population was 20,350 in 1997 and 21,000 in 2000. Find the population in: (a) 1995, (b) 2002. 42. 1, x ϭ 100. 43. 95)t. 44. A quantity grows exponentially at the rate of 4 percent per month. Initially there were 100 units of the quantity. (a) Find the number of units (to the nearest integer) in one year. (b) Find the growth rate over a two-month period.

### Homotopie Rationnelle. Modeles de Chen Quillen Sullivan by Daniel Tanre

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