Housing Costs10? The cost C (in dollars) of building a house is related to the number k of carpenters used and the number e of electricians used by
If
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Finite Mathematics and Applied Calculus (MindTap Course List)
- The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?arrow_forwardXander’s new business found that the daily demand for its product was inversely proportional to the price, p. When the price is $5, the demand is 700 units. (a) Write the equation of variation. (b) What is the demand if the price is raised to $7?arrow_forwardHeart Disease In a certain country, the number of deaths due to heart disease decreased from 235 in one year to 221 in the next year. What percentage decrease in deaths due to heart disease does this represent?arrow_forward
- Find the unknown value. y varies inversely as the square of x and when x=3,y=2. Find y if x=1.arrow_forwardThe time required to empty a pool varies inversely as the rate of pumping. It took Lucy 2.5 hours to empty her pool using a pump that was rated at 400 gpm (gallons per minute). a. Write the equation of variation. b. How long will it take her to empty the pool using a pump rated at 500 gpm?arrow_forwardThe rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.arrow_forward
- A high school charters a bus for $560 to take a group of students to an observatory. When 8 more students join the trip, the cost per student decreases by $3.50. How many students were in the original group?arrow_forwardWhat is interpolation when using a linear model?arrow_forwardAutomobile collisions The energy dissipated in an auto mobile collision varies directly with the square of the speed. By what factor does the energy increase in a 50-mph collision compared with a 20-mph collision?arrow_forward
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