Solve the problem.Suppose that the population of a certain city during a certain time period can be approximated by: P(x) = -0.1x5 + 3.5x4 + 4000where x is time in years since 1960. By sketching a graph of P(x), estimate during what time period the population of the city was increasing.
A. Between 1988 and 1995
B. Between 1960 and 1974
C. Between 1960 and 1988
D. Between 1965 and 1988
Answer: C
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Solve the problem. Round your answer to two decimal places if necessary.What is 4% of 80?
A. 33.6 B. 3.36 C. 336 D. 0.03
Determine whether the system is consistent or inconsistent and whether the equations are dependent or independent.5x + 3y = 556x + 6y = 90
A. Inconsistent; independent B. Consistent; independent C. Consistent; dependent D. Inconsistent; dependent
Factor the trinomial containing two variables. If the polynomial is prime, so state.x2 + 3xy - 10y2
A. (x - 5y)(x + 2y) B. (x + 5y)(x - 2y) C. (x - 5y)(x + y) D. (x - y)(x + 2y)
Solve the problem.The MetroCity shoe company is planning to produce a new running shoe. For the first year, the fixed costs for setting up production are $49,000. The variable costs for producing each pair of shoes are $35. The revenue for each pair of shoes is $80. Find the break-even point (the number of pairs of shoes which must be sold to break-even).
A. 1088 pairs of shoes B. 1091 pairs of shoes C. 1089 pairs of shoes D. 1086 pairs of shoes