Yvette is considering taking out a loan with a principal of $16,200 from one of two banks. bank f charges an interest rate of 5.7%, compounded monthly, and requires that the loan be paid off in eight years. bank g charges an interest rate of 6.2%, compounded monthly, and requires that the loan be paid off in seven years. how would you recommend that yvette choose her loan? a. bank f offers a better loan in every regard, so yvette should choose it over bank g’s. b. yvette should choose bank f’s loan if she cares more about lower monthly payments, and she should choose bank g’s loan if she cares more about the lowest lifetime cost. c. yvette should choose bank g’s loan if she cares more about lower monthly payments, and she should choose bank f’s loan if she cares more about the lowest lifetime cost. d. bank g offers a better loan in every regard, so yvette should choose it over bank f’s.

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

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).

Maren is buying carpet for her rectangular living room. the room is 4.8 yards wide and 5.2 yards long. how much carpet does she need to buy? enter your answer as a decimal in the box. yd2