Average yearly inflation. if an item costs c at one time and d n years later, and cxn = d, then we call x the average annual inflation factor (for example, x = 1.04 refers to an inflation rate of 4%). at a 6% average annual inflation factor, it will take 12 years for the house to double. if 6% is replaced by r%, bankers use 72/r to estimate the number of years. this is called the rule of 72. graph this estimate and the actual answer over the interval 1 < = r < = 12. comment on the accuracy of the rule of 72.

What scale factor was applied to the first rectangle to get the resulting image interior answer as a decimal in the box

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.

A.s.a.! this is a similarity in right triangles. next (solve for x)a.) 12b.) 5c.) 12.5d.) [tex] 6\sqrt{3} [/tex]