The manufacturer of a new cholesterol-reducing yogurt plans to increase output over the coming years. The present output is 5500 units per week. (a) If output is increased by 150 per week calculate: (i) The weekly output for the 30th week from now. (ii) The total output over the first 30 weeks. (iii) The number of weake bafore the weekly output excom 10000

dollars dP =- 0.727 dt year

bonnie deposits 1800 into a saving account at time 0. the savings account pays simple interest an annual rate of i. clyde deposits 100 into a different saving account at time 0. clyde saving account pays interest at an annual effective rate of i. bonnie and clyde earn the same amount of interest during the 7th year. calculate i

A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars)           kWhkWh 25 30 35 40 cost (dollars)cost (dollars)         (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form   f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…