3. Mr. Emerson wishes to purchase an annuity contract that will pay him, Rs.7000 a year for the rest of his life. The Sri
Lanka Insurance Corporation figures that his life expectancy is
20 years. The company imputes a compound annual interest
rate of 6% in its annuity contracts.
a. How much will Emerson has to pay for the annuity?
b. How much would he have to pay if the interest were 8%?
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Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)

Given: transversal t passed through parrallel lines r and s.prove: < 3 = < 6 < 4 = < 8what is the next step in the proof? choose the most logicsl approach