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Assume that y0 dollars is deposited into an account paying r percent compunded continuously. If withdrawals are at an annual rate of 200t dollars (assume these are continuous), find the ammount in the account after T years.
Draw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed.
Let A = Z + Z + Z, let x_1 = (1,2,1) and x_2 = (1,5,1), and consider the subgroup B = (x_1, x_2) is a member of G. For the quotient group G = A/B, and write (x,y,z) is a member of G for the coset determined by n element (x,y,z) is a member of A.
Show that log(r), where this is log base 10, is irrational when r is a positive rational that is not an integral power of 10
Use the side-angle inequality to show that in triangle ABC if the internal bisector of angle A meets BC at D and AB>AC , then DB>DC.
Objective questions based on regression
What is the mathematical model for the total profit earned by producing and selling x units ? What is the optimal solution for this production model?
Chi square test
A clock company is concerned about errors in assembly of their custom made clocks. A random sample of 120 clocks from today's production yields nine clocks with assembly errors.
Find the solutions of the congruence 12x^2 + 25x = 10 (mod 11). [Hint: Show the congruence is equivalent to the congruence 12x^2 + 25x + 12 = 0 (mod 11).
A client has an order for a foot soak prepared with 25% povidine iodine and the total volume of preparation is to be 1 liter. How many mls of povidine/iodine should be used?
Find the probabilities that the sample, drawn without replacement, contains the following, All blue balls, Exactly 2 black balls
Setup a network Flow for this Problem using nodes and links but do not solve for optimal solution, A manufacturer must produce a certain product in sufficient quantity to meet contracted sales in the next four months
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