A new car worth $21,000 is depreciating in value by $3000 per year. Complete parts (a) through (c). a. Write a formula that models the car's value, y, in dollars, after x years. b. Use the formula from part (a) to determine after how many years the car's value will be $12,000. c. Graph the formula from part (a) in the first quadrant of a rectangular coordinate system. Then, show your solution to part (b) on the graph. E) a. Aformula that models the car's value, y, in dollars, after x years is E. (Type an equation.) You are choosing between two health clubs. Club A offers membership for a fee of $20 plus a monthly fee of $20. Club B offers membership for a fee of $13 plus a monthly fee of $21. After how many months will the total cost of each health club be the same? What will be the total cost for each club? c:) In D months the total cost of each health club will be the same. The bus fare in a city is $2.00. People who use the bus have the option of purchasing a monthly coupon book for $24.00. With the coupon book, the fare is reduced to $1.00. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book. E) The bus must be used D times. In 2011, there were 15,500 students at college A, with a a. According to these projections, when will the projected enrollment increase of 900 students per year. In colleges have the same enrollment? What will be the same year, there were 35, 100 students at college B, the enrollment in each college at that time? with a projected enrollment decline of 500 students per According to these projections, in the year the year. Complete parts a and b. colleges will have the same enrollment and at that time students were enrolled. X Y1 Y2 (Simplify your answers.) 7 21800 31600 8 22700 31 100 9 23600 30600 10 24500 30100 11 25400 29600 12 26300 29100 13 27200 28600 14 28100 28100 15 29000 27600 16 29900 27100 17 30800 26600 X =7After a 90% reduction, you purchase a new clothes dryer on sale for $80. What was the original price of the clothes dryer? . . . The original price was $Including a 8% sales tax, an inn charges $168.48 per night. Find the inn's nightly cost before tax is added. E) $D You invested $22,000 in two accounts paying 3% and 7% annual interest, respectively. If the total interest earned for the year was $1020, how much was invested at each rate? E) The amount invested at 3% is $D. The length of a new rectangular playing field is 3 yards longer than double the width. If the perimeter of the rectangular playing field is 270 yards, what are its dimensions? . . . The width is yards.\f\f\f