Derek wants a new car. He is looking for a blue or green vehicle with working A/C. He is okay if it is used, but would prefer a new car. He makes $45,000 a year and drives about 15 miles a day to work. He needs the car to be reliable as he doesn't have many sick or vacation days. He found his preferred vehicle at a dealership that will allow him to buy or rent the car. The price to rent is $206 per month for the first 2 years, at which point he can come in and look for a new vehicle or keep renting. He could also buy the vehicle for $15,400 and have it paid off in 6 years. What is the amount of the cheaper cost, per month, if he only looks at the first 2 years of renting vs buying? Do not include $ in answer and round to the nearest hundredth. Example, if answer is $19.546, put 19.55.

Question 5 spring semester final exam math evaluate

Find the area of an equilateral triangle with a side of 6 inches

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).