Sylvia invested $500 in an account compounded annually with an interest rate of 8%. Manuel invested $600 in an account with a compound interest rate of 7.25%. Using the rule of 72, StartFraction 72 Over t EndFraction, who will double their money first? Sylvia will double her money first, in approximately 9 years. Manuel will double his money first, in approximately 10 years. Manuel will double his money first, in approximately 9 years. Sylvia will double her money first, in approximately 10 years.

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?