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A bakery makes cakes. The bakery has daily fixed costs of $418 per day and variable costs of $7.30 per cake produced. Cakes are sold for $12.80 each.
(a) What is the cost equation?
(b) What is the revenue equation?
(c) How many cakes must be produced and sold each day for the bakery to break even? Show algebraic work to find the answer.
Assume that for each type of system below there is at least one variable with a nonzero coefficient. Find the smallest and largest rank possible for the corresponding augmented matrix in each case.
Show that the positive integers less than 11, except 1 and 10, can be split into pairs of integers such that each pair consists of integers that are inverses of each other modulo 11.
Let A_0 be contained in A_1 contained in A_2 and so on be a nested sequence of subspaces of X such that the union of all A_n is X and such that An contained in the interior of A_(n+1).
an architect has allocated a rectangular space of 416 ft^2 for a square dining room and a 10 ft wide kitchen. find both the width of the square dining room and the length of the entire rectangular space?
Let R(t) be the field of rational functions. Answer the following (with proofs): If we identify the rational numbers with a subset of R(t), what function corresponds to a given rational number r?
Joint and Marginal Probability Distributions, Person takes bus & subway to work. Bus runs every 20 min (X) & subway every 4 min (Y).
Develop a loan amortization project using Excel spreadsheets. This can be a car loan or a home mortgage. You will develop two alternative loan schedules using realistic rates and repayment schedules and write up a comparison of your two amortizati..
An automobile manufacturer produces 7 models, each available in 6 different exterior colors, with 4 different upholstery fabrics and 5 interior colors. How many varieties of automobiles are available?
If C is the curve given parametrically by R(t)=cost(i)+sint(j)+2t(k) find the normal N and the binormal B for this curve @ t=0
Starting with a hypothetical population of 14,000 people and an even age distribution [1,000 in each age group from 1-5 to 66-70 years], suppose that the population initially has a total fertility rate of 2.0 and an average life span of 70 years.
Find the equation of the line drawn between two points - Write the equation of the line with slop -2 and passing through the point (4, -3).
A reconnaissance airplane leaves its airport on the east coast of the United States and flies in a direction 85 degree. Because of bad weather, it returns to another airport 230 km due north of its home base.
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