28. A population of a city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years, 29. A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.

30. Scott purchased a painting in 2006 for $1,250. Since then, its value has increased by 6% each year. Use an exponential function find the value of the painting in 2017.​

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.

Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. his sister states that the expression should be x + x + 0.5x + y + y – 2. who is correct? explain.

Factor the polynomial expression x6 – x3 – 20