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An executive invests $28,000, some at 6% and some at 5% annual interest. If he receives an annual return of $1540, how much is invested at each rate.
Let S be the circle in the plane {(x,y) in R^2: x^2 + y^2 = 1} and f: S --> R be a continuous map. Show that there exists (x,y) on S such that f(x,y) = f(-x,-y).
Convert the nonlinear, second order differential equation to the first order system and solve the differential equation
In a triangle ABC, if r 1 is the exradius of the excircle opposite to A, r 2 is the exradius of the excircle opposite to B and r 3 is the exradius of the excircle opposite to C
Part of $13,750 is invested at 9% annual interest, and the rest is invested at 8%. After one year, the accounts paid $1,160 in interest. How much was invested at the lower rate?
Suppose you win a lottery and you can take either $1400 in a year or $1000 now. Suppose also that you can invest the $1000 now at 6% interest. Decide which is a better deal and by how much.
Pump A can fill a tank of water in 5 hours. Pump B can fill the same tank in 8 hours. How long does it take the two pumps working together to fill the tank?(round your answer to the nearest minute).
Evaluate the integral log3(x)/(2x). Evaluate the integral sinh^6(x)*cosh(x) dx. Evaluate the integral x^2 * sin(2x) dx. Evaluate the indefinete integral sin^5(x) dx
How do I relate the relationship between geometry and abstract algebra to how the symmetries of a square are conceptualized as the dihedral group of 8?
A bit vector is simply an array of bits (0's and 1's). A bit vector of length m takes much less space than an array of m pointers. Describe how to use a bit vector to represent a Dynamic Set of Distinct Elements with no Satellite Data. Dictionary ..
Given the curve y = the square root of 16-x^2, -2≤x≤2. Find the volume of the solid generated when y is revolved about the x axis.
Gary's age is an even number less than 14. He is one-half his sister's age. His sister's age is a number between 16 and 24. how old is Gar5y and how old is his sister?
Use cylindrical coordinates to evaluate the triple integral Ex2+y2dV , where E is the solid bounded by the circular paraboloid z=16-4x2+y2 and the xy -plane.
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