Can someone me solve this weston is buying a house for $215,000. he is financing $185,000 and obtained a 30-year, fixed-rate mortgage with a 6.525% interest rate. how much are his monthly payments? $1,005.94 $1,362.48 $1,614.09 $1,172.37,

$1,172.37 The formula for calculating the payment on a loan is P = r(PV)/(1 - (1 + r)^(-n)) where P = Payment PV = Present value r = interest per period n = number of periods Since there's 12 months per year and the loan is for 30 years, there will be 12 * 30 = 360 periods. The interest rate per month will be 0.06525 / 12 = 0.0054375, and finally, the present value is the size of the loan at 185000. Now let's substitute and solve. P = r(PV)/(1 - (1 + r)^(-n)) P = 0.0054375(185000)/(1 - (1 + 0.0054375)^(-360)) P = 1005.9375/(1 - (1.0054375)^(-360)) P = 1005.9375/(1 - 0.141961802) P = 1005.9375/0.858038198 P = 1172.369134 P = 1172.37 So the monthly interest and principle payments are $1,172.37 Note: The actual payments will be higher since the above figure doesn't include insurance and taxes.

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

The first option would be correct if it were one half and not one