Henri puts aside $10 cash every month in a shoebox. He also makes a one-time deposit of $1,500 in a savings account at 9% annual interest, compounded yearly.

Amount of shoebox savings: f(t) = 120t

Amount of savings account: g(t) = 1,500(1.09)t

Which function represents the amount of money Henri will have after t years?

(f + g)(t) = 1,500(1.09)t + 120t, t ≥ 0
(f + g)(t) = 1,500 + 120t (1.09)t, t ≥ 0
(f ∙ g)(t) = 1,500(130.8t)t, t ≥ 0
(f ∙ g)(t) = 1,500(121.09t)t, t ≥ 0

Use the graph of the sine function y=2sinθ shown below

You give a $4 tip for a meal that cost $22. approximately what percent of the bill was your tip?

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.