Solve the problem.The number of periods needed to double an investment when a lump sum is invested at 10%, compounded semiannually, is given by n = log1.05 2. Find the number of years before the investment doubles in value, to the nearest tenth of a year.
A. 7.1 years
B. 28.4 years
C. 3.6 years
D. 14.2 years
Answer: A
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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = -x(1 - y), y(2) = 2, h = 0.2
A. y1 = 4.0000, y2 = 30.1600, y3 = 39.8368 B. y1 = 2.4000, y2 = 3.0160, y3 = 3.9837 C. y1 = 0.4000, y2 = 1.5080, y3 = 1.9918 D. y1 = 1.6000, y2 = 6.0320, y3 = 7.9674
Give a geometric description of the set of points whose coordinates satisfy the given conditions.x2 + y2 ? 1, z = -2
A. All points within the parabola x2 + y2 = 1 in the plane z = -2 B. All points on the cylinder with radius 1 along the z-axis C. All points on or outside of the circle x2 + y2 = 1 and in the plane z = -2 D. All points on or within the circle x2 + y2 = 1 and in the plane z = -2
Find the periodic payment required to obtain a future value given the information below. Round to the nearest cent.$61,000 at an APR of 6% compounded annually for 12 years
A. $3615.90 B. $4959.47 C. $3664.66 D. $5734.90
Find the derivative.y = (csc x + cot x)(csc x - cot x)
A. y ' = 1 B. y ' = - csc2 x C. y ' = 0 D. y ' = - csc x cot x