Tahmar knows the formula for simple interest is i = prt, where i represents the simple interest on an amount of money, p, for t years at r rate. she transforms the equation to isolate p : p = . using this formula, what is the amount of money, p, that will generate $20 at a 5% interest rate over 5 years?

The amount of money that will generate $20 interest is $80.

If you solve the simple interest formula for P, you have P = I/(RT)

Now, let's plug in the values we know and solve for P.

P = 20/(0.05x5)
P = 20/0.25
P = 80

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