Mary's salary is $X per annum. The tax system is such that Mary pays a 15% flat rate of income tax on her salary. The tax system is due for reform, and politicians have suggested the following: Any income under $7,500 should be tax free. Any income above $7,500 should be taxed at 25% on the amount over $7,500. Given that Mary will be paying exactly the same amount of tax under both systems, calculate the amount of tax that Mary pays.

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

Graph the equationy= x+3[tex]y = x + 3[/tex]