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For the following problems, determine how many years it will take for the two accounts to reach the same amount.
a. A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
b. A 2000 dollar investment at a rate of 4% compounded continuously and a 3000 dollar investment at a rate of 5% compounded monthly.
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!"
Verify that 18^3 - 1^3 = 17* 7^3 and find a point on the curve x^3 + y^3 = 17 with rational coordinates.
Probability - birthday, What is the probability that at least 2 of the 435 members of the House of Representatives have the same birthday
A cooler at a picnic contains 100 cans of soda covered by ice. There are 30 cans of cola, 40 cans of orange soda, 10 cans of ginger ale
Two chemicals A and B are combined to form a chemical C. The rate of the reaction is proportional to the product of the instantaneous amounts of A and B not converted to chemical C.
Sample Question: Binomial Probability Distribution. Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30) . (Round all z values to 2 decimal places.)
Prove that the regression line passes through the centroid
It would normally follow on from work on sequences and fractions-Ruth was investigating fraction differences. She wrote down this sequence of fractions:
Matrices are the most common and effective way to solve systems of linear equations. However, not all systems of linear equations have unique solutions. Before spending time trying to solve a system, it is important to establish whether it in fact..
Series convergence - Prove, using the definition, that the following sequence converger
Let f be the function whose graph goes through point (3,6) and whose derivative is given by f'(x) = (1+e^(x))/(x^2). Write the equation of the line tangent to the graph of f at x=3 and use it to approximate f(3.1)
Combine from JPE, Fall 90 and Spring 97) Let A ∈ C^(n X n) be a normal matrix. Prove that A - M is normal for any λ ∈ C. Prove that ||Ax||2 - ||∧*x||2 for all x ∈ C^n
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