Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill? * A. Yes. They have enough to pay their bill: $30.00 X $1.06 = $31.80 and $31.80 X $1.15 = $36.57
B. Yes. They have enough to pay their bill: $21.00 X $1.06 = $22.26 and $22.26 X $1.15 = $25.60

Solve for x and y: 217x + 131y = 913; 131x + 217y = 827

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?

Corresponding angles are a. always b. sometimes c. never congruent