You wish to purchase an item that retails for $375. You have a $25 off coupon and a 10% off discount. What is your final sale price if you apply the coupon and then the discount at checkout?
Solve each problem by using composite functions. Be sure to show all work.
1. You wish to purchase an item that retails for $375. You have a $25 off coupon and a 10% off discount. What is your final sale price if you apply the coupon and then the discount at checkout?
2. A rock is dropped into a pond. What is the spread of the circular ripple after 25 seconds if the ripple travels outward at a speed of 20 cm/sec?
3. Shoe sizes are marked differently in many countries. In Japan, a shoe size is 16 more than the size in the United States. In Korea, a shoe size is 224 more than the size in Japan. Determine the function of the U.S. size of a shoe in terms of the shoe size in Korea. What is the U.S. shoe size of a shoe that is 250 in Korea?
4. What is the volume of a spherical balloon after 11 seconds if the radius of the balloon is increasing at 1.3 cm/sec? Round to the nearest tenth of a centimeter.
5. A manufacturer sells a lawn mower to a store at $75 over the manufacturing cost. The store then sells the lawn mower for 140% of the price paid to the manufacturer. Determine the function of the price of a lawn mower in terms of the cost to manufacture the mower. What price will a customer pay for this mower if the manufacturer's cost was $230?
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