Write the equation of the line which passes through (2, –1) and is perpendicular to the line with equation 3y – x = 1.
A) 3x + y = 5 B) 3x – y = 7 C) x + 3y = –1 D) x – 3y = 5
A) 3x + y = 5
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Find the opposite of the integer.156
A. -156 B. -1 C. 0 D. 156
Solve the problem.The population of a town increased by 20% in 5 years. If the population is currently 23,000, find the population of this town 5 years ago. (Round to the nearest whole, if necessary.)
A. 18,400 B. 115,000 C. 4600 D. 19,167
A couple want to buy a house priced at $155,200. Last year, the property tax and fire insurance bills were $2,299 and $700, respectively. Neither is expected to increase significantly in the coming year. If the couple can qualify for a 30-year conventional mortgage at 6.3% annual interest, what is the total monthly bill they should expect for the mortgage, property tax, and fire insurance?
What will be an ideal response?
Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 900 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
A. 9 P1 planes and 13 P2 planes B. 14 P1 planes and 7 P2 planes C. 13 P1 planes and 9 P2 planes D. 5 P1 planes and 22 P2 planes