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An apple grower estimates that if 60 apple trees are planted, the average yield per tree will be 400 apples. It is estimated that if 2 more trees are planted the average yield will drop by 8 apples. If x is the number of trees and y is the average yield per tree find a linear equation that gives the yield y in terms of the number of trees, x.
A machinist can produce 114 parts in 6 minutes. At this rate, how many parts can the machinist produce in 15 minutes?
At least one of the three employees is lying when all are telling the truth?
Prove that there exist real numbers which are not algebraic.
The price of a notebook was$3.10 yesterday. Today, the price rose to $3.60 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Sometimes (for example 1/12 ) only part of the decimal repeats while in other cases (for example 1/7 ) the whole decimal repeats. Assuming a/b is a reduced fraction, how can you tell which of these two scenarios will occur? Explain.
Express the retailer's monthly profit from the sale of the cameras as a function of the selling price. Estimate the optimal selling price.
John sells his house and earns a profit of $600,000. With the profit, he buys a 20 year annuity that earns 6.5% interest compounded monthly. What monthly payment will John get?
Find the difference in the average number of people
A box of books weight 100lbs. The box itself weights 12 oz. If the box holds 16 books, what is the average weight of each one? (Round your answer to the nearest half-pound)
Vectors as linear combinations of the vectors
A restaurant offers an "appetizer-plate special" consisting of four selections from its list of appetizers. If there are more than 700 different possible appetizer-plate specials, what is the least possible number of appetizers?
Given f(x,y,z)=x^2y^3z^6, in what direction is F(x,y,z) increasing most rapidly at the point P(1,-1,1). What is the rate of increase?
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