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Q: 1). An insurance company claims that for x thousand policies, its monthly revenue in dollars is given by R(x)=150x and its monthly cost in dollars is given by c(x)=120x+7200. a. find the break even point. b.Graph the revenue and cost equations on the same axes c. Estimate the revenue and cost when x=120. Q.2) The national demand and price for a certain type of energy-efficient exhaust fan are related by p=480-4/5q, where p is the price(in dollars) and q is the demand (in thousands). The price and supply of the exhaust fans are related by p=2/5q, where p is the price and q is the supply of exhaust fans. Find the price for a demand of 135,000 exhaust fans. The price is $ a.Find the price for demand of $135,000 exhaust Fans. b.Find the demand of exhaust fans at a price of $96. c.Find the supply when the price is $224. d.Graph P=480-4/5q and P=2/5q on same set of axes "make sure you number the graph" e.Find the equilibrium quantity. f.Find the equilibrium price.
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 35 liters per minute. There are 500 liters in the pond to start.
Austin invested $12,000 in an account at 11% compounded quarterly. Find the amount in Austin's account after a period of 6 years.
Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.
Find the slope-intercept form of a line that is the perpendicular bisector of a line segment connecting (-7,3) and (1,17)
Integrate the integral below using the partial fractions method. (S represents the sign for integration) S x^3 + 4 / (x^2 - 1)(x^2 + 3x + 2) dx
Simulate 2000 coin flip experiments with a biased coin with "success" probability (chance of 1) p = 1/5. Plot an outcome of the proportion of successes with respect to the number of coin flips. Supply your code.
Find the correlation between External and Internal attributions significant?
The family cat is also walking in the backyard. The line segment between the cat and the two trees are always perpindicular. Find the equation of the locus of the cat.
Matrice operations
The supply curve for Florida is P = (1/3)Q. The supply curve for Oregon is P = 3 + (1/3)Q. What values of P and Q solve both these equations?
Find the probability distribution, & the cumulative probability distribution of car arrivals.
If a 2 lb weight stretches a spring 15 inches and a 12 lb weight stretches the same spring 20 inches, what is the length of the spring with no weight attached.
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