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Find the sequences of m_i's for a=5, b=2, a=10, b=4, a=15, b=6. Does the sequence m_1, m_2, ...uniquely determine the value a/b?
Let x be in years, where x = 0 corresponds to 2000, x = 1 to 2001, and so on. Find the values for C and (a) so that f(x) = Ca^x models the data.
Suppose F is a family of sets. Prove that there is a unique Set A that has the following two properties.
How much additional money would be needed to add to the monthly payment to pay off the loan in 20 years instead of 25?
How long, rounded to a tenth of year, will it be before a pension of $80,000 per year has a purchasing power of $40,000?
They will tell you how much cream they use, but the won't tell you how many marshmallows they put in. Sachi will give you a few clues.
A bakery makes a special marble rye bread using white flour, light rye flour, and dark rye flower.
Use this equation to estimate the number of worms on day 60 and on day 180. Which answer is most accurate? Explain.
You are given that the forecast for period 6 was 70 while the actual demand for period 6 was 76. The forecast for period 7 has been calculated to be 75.8.
Predicting Tuition Use your equation to estimate tuition and fees in 2001 and compare it to the known value of $17,300. Estimate tuition and fees in 2010.
If 14 people owned both a truck and a car and 8 people owned neither, how many people were interviewed?
Imagine you own a health and wellness company. Your company employs numerous fitness trainers and exercise professionals.
Find a general solution of the Cauchy-Euler equation. Assume x > 0. Provide complete and step by step solution for the question.
A group of order 21 contains a conjugacy class C(x) of order 3. What is the order of x in the group?
Determine the possible class equations of nonabelian groups of order 8 and of order 21.
Let S be a finite set on which a group G operates transitively, and let U be a subset of S. Prove that the subsets gU cover S evenly.
Let G be a group of order n which acts nontrivially on a set of order k. If n>k!, show that G contains a proper normal subgroup.
Graph the function over these x values and explain in your own words what the relationship means. Is it an additive function?
A company makes tops for the boxes of pickup trucks. The total revenue R in dollars from selling the tops for p dollars.
Let k > 0 be a constant and consider the important sequence {kn}. It's behaviour as n ? 8 will depend on the value of k.
How do you find the equation of the curve of intersection of the surfaces z = x^2 and x^2 + y^2 =1?
Find the parametric equations for the path of a particle that moves along the circle Once around clockwise, starting at (2,1);
Write an equation for the inverse function in the form of y=f^-1(x), b. graph f and f^-1 on the axes, and c. give the domain and the range of f and f^-1.
At what interest rate, to the nearest hundredth of a percent, will $16,000 grow to $20,000 if invested for 5.25 yr and interest is compounded quarterly?
Give all solutions of each nonlinear system of equations, including those with nonreal complex components.