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Lauren plans to deposit $4000 into a bank account at the beginning of next month and $200/month into the same account at the end of that month and at the end of each subsequent month for the next 7 years. If her bank pays interest at a rate of 5%/year compounded monthly, how much will Lauren have in her account at the end of 7 years? (Assume she makes no withdrawals during the 7-year period. Round your answer to the nearest cent.)
Verify that y1(t) = 1/t^3 and y2(t) = ln(t)/t^3 are solutions to t^2y''+7ty'+9y = 0, t > 0. Do y1, Y2 form a fundamental set of solutions? Give a reason for your answer.
The mass of a cube in grams is M = x3 + 0.1x4, where x is the length of one side in centimeters. If the length is increasing at a rate of 0.02 cm/hr.
A plane flying at an altitude of 25,000 ft. has a defective airspeed indicator. To determine her speed, the pilot sights a fixed point on the ground. At the moment when the angle of depression
How do you describe the definition of an imaginary number?
Y-1=X+8 How do I find the general form of the equation of the line that passes through the points?
finding the elasticity of demand at given quantity and price.demand for the latest best - seller at ohagandbooks.com a
we often use graphs of recent data to project the changes in future data. the following is the graph of a cars value.
Consider an asymmetric tent design of length l that is comprised of a vertical section of height h, connected to a diagonal section, The volume of the tent is hl2/2. For a fixed area of tent material A, find the values of h and l that maximise the t..
The surface area of the top of the water in a circular swimming pool is about 206 square feet. Estimate the radius of the pool, to the nearest foot.
Find symmetric equations for the line through the points p (1, 1, -3) and Q (2,-1,1). Find an equation for the plane through P (2, 0, 1) and parallel to the line x = 3t, y = 2 - t, z = 3 + 4t.
How do you find the inverse of a function? Describe the method you can use to construct the inverse of a one-to-one function. What are realistic examples of inverse functions?
Let R be the region bounded by the curves f(x) = ln(x+3) +2 and g(x) = x^2 - 8x + 18. Using the washer method, find the volume of the shape which is formed if R is rotated around the x- axis.
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