You're pursuing a career in sales, and your commission earned is determined by the following information: if you earn less than $500 in sales, then your commission is 25% of your total sales. if you earn between $500 and $700 in sales, then you will earn $70 plus 35% of all of your total sales over $500. finally, if you earn more than $700 in sales, then you will earn $100 plus 55% of all of your total sales over $700. express your commission c as afunction of sales, x. your function should be expressed as a piece-wise defined function. keep that concept in mind. what would be your commission if your sales are $560?

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12