A professional soccer player has a deferred compensation annuity that pays her $2,300 at the end of each month for 8 years. If the annual interest rate is 5% compounded monthly, find the present value of the annuity. (Round your answer to the nearest cent.)

Tom is making a punch that contains 80% cranberry juice and the rest ginger ale. the punch has 2 liters of ginger ale. part a: write an equation using one variable that can be used to find the total number of liters of cranberry juice and ginger ale in the punch. define the variable used in the equation and solve the equation. hint: 0.8x represents the number of liters of cranberry juice in the punch. (5 points) part b: how many liters of cranberry juice are present in the punch? show your work.

Question 7 of 47 1 point what is the equation of a line with a slope of 1/2 that passes through the point, (-2,5)? o a. 1/2x+3 o b. y=1/2x+5 o c. y=x+5 o d. y=1/2x+6

14 pointslet x be the seats in the small van and y the seats in the large van. how many seats does the large van have? a company uses two vans to transport worker from a free parking lot to the workplace between 7: 00 and 9: 00a.m. one van has 9 more seats than the other. the smaller van makes two trips every morning while the larger one makes only one trip. the two vans can transport 69 people, maximum.how many seats does the larger van have?