1point) according to one mathematical model, the average life expenctancy for american men born in 1900 was 55 years. life expectancy has increased by about 0.2 year for each birth year after 1900. if this trend continues, for which birth year will the average life expentancy be 73 years? a) write an equation to model the problem. let t represent the number of years after 1900. for example, t = 12 would represent the year 1912. b) solve the equation, then answer the question given above. (note: you are asked for a year, not a value for t.)

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Plot a point at the y-intercept of the following function on the provided graph. 3y=-5x+7 20 points

3. a sum of $2700 is to be given in the form of 63 prizes. if the prize is of either $100 or $25, find the number of prizes of each type.