town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What wound be the population size in 7 years?
town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What wound be the population size in 7 years? (ii) Find the sum of the first eight terms of the sequence 18 ,−14 ,12 ,....
A landscape contractor is hired to cultivate ornamental plants in three new residential developments.The contractor charges the developer for each tree cultivated,an hourly rate to cultivate the ornamental plants,and a fixed delivery charge.In one development it took 211 labour hours to cultivate 244 ornamental plants for a cost of $9394.In a second development it took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270.In the final development it took 165 labour hours to cultivate 386 ornamental plants for a cost of $10938. In total 504 labour hours were taken and 913 ornamental plants were cultivated. Using Cramer’s Rule of the Inverse Method,determine the cost for each tree,the hourly labour charge,and the delivery charge.
A firm has an average cost function A(q)=125q+q216−4. where q is the firm′s output. (i) Determine the level of output for average costs are minimum. (ii) Hence determine the range of values for which average costs are decreasing. (iii) What part of the decreasing range is practically feasible? (iv) Write an equation for the total cost function. (v) Hence calculate the level of output for which total costs are minimum.
Determine the values of x for which the function f(x)={2x2−4 x<2x+2 2<x>57 x≥5 is discontinuous
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