Afinancier plans to invest up to $600,000 in two projects. project a yields a return of 8% on the investment, whereas project b yields a return of 16% on the investment. because the investment in project b is riskier than the investment in project a, she has decided that the investment in project b should not exceed 35% of the total investment. how much should the financier invest in each project in order to maximize the return on her investment?

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

Find the domain and range of the following function f(x) = 51x - 21+ 4

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 > ?