Quick! ill give a medal

a salesperson at roaring waves beach supplies, carissa receives a monthly base pay plus commission on all that she sells. if she sells $600 worth of merchandise in one month, she is paid $408. if she sells $900 of merchandise in one month she is paid $462.

find carissa's salary when she sells $3,700 worth of merchandise.

Let the base pay be x, and the % commission be y, then
x + 600y = 408 . . . (1)
x + 900y = 462 . . . (2)

(1) - (2) => -300y = -54
y = -54/-300 = 0.18

From (1), x + 600(0.18) = 408
x = 408 - 108 = 300.

Thus, she is payed a basic saraly of $300 and an 18% commission on sales.

When she sells $3,700 her saraly will be $300 + 0.18(3700) = $966.

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