Earl Ezekiel wants to retire in San Diego when he is 65 years old. Earl is now 52. He believes he will need $380,000 to retire comfortably. To date, Earl has set aside no retirement money. Assume Earl gets 10% interest compounded semiannually. How much must Earl invest today to meet his $380,000 goal? (Use the Table provided.) (Do not round intermediate calculations. Round your answer to the nearest dollar amount.)

Harry’s soccer team plays 2 nonconference games for every 3 games that they play against conference opponents. if y represents the number of nonconference games and x represents the number of conference games, which equation best models this proportional relationship? a)y=2/3 x b)y=3/2 x c)y = 2x d)y = 6x

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

For f(x) = 3x+1 and g(x) = x2 - 6, find (g/f)(x)