How much money should be invested now (rounded to the nearest cent), called the initial invest years, in a treasury bond investment that yields 9% per year, compounded monthly for 10 years, if you wish it to be worth $50,000 after 10 years? Hint: A(t)=A 0 (1+ r 12 )^ 12t , where A(t) is the final amount, A 0 is the initial investment, r is the growth rate expressed as a decimal amount, and t is time in years

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

Answers: the graph is translated down 1 unit and the domain and range of g(x) is the same as the domain and range of f(x).