Enzel goes online to buy a graphing calculator. he finds a site that currently has a promotion of 15% off on all orders over $50. enzel decides to buy his graphing calculator, with a price tag of $83, at this site because he knows that he will get the 15% discount when he checks out. enzel pays 4.5% sales tax on the discounted price and pays a shipping fee of $6.35. what is the total of enzel’s online purchase?

Steps

So firstly, we need to find the discounted price. Since this is going to be a decrease by percentage, we will be using this format:

(1 - p)m(p = percentage in decimal form and m = original price)

In this case:

Now that we have the discounted price, we must apply the 4.5% sales tax. Since this is going to be an increase by percentage, we will be using this format:

(1 + p)m

In this case:

Now we have the discounted price with the sales tax. Now all we have to do is add the shipping fee:

Answer

The total price of Enzel's purchase is $80.07.

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