Sammy makes $2362/month as a baseball coach. He is making a budget, and has made the following chart in order to divide his monthly paycheck into his accounts: Expense type
Frequency
Account
Monthly amount
Items
Essential (fixed)
Monthly
Checking
$1292
Rent, car, insurance
Essential (variable)
Monthly
Checking
$420
Basic groceries, telephone, electricity, cable TV, batting practice.
Non-essential
Monthly
Cash
$260
Snack items, restaurants, gifts, movies.
Other (predictable)
Annual
Emergency savings
$130
Health exams, clothing, food, baseball coach magazine.
Other (unpredictable)
Annual
Emergency savings
$210
Non-insured healthcare, repairs, and income replacement.
Other (long-term)
5 years
Vacation savings
$50
Vacation.
Total

$2362

Sammy has included a total row to help make sure that his paycheck can be divided to make deposits into these 4 accounts. If there were any extra, then he would increase one or all of the deposits. If there were not enough, he would decrease one or all of the deposits. Explain how Sammy calculated his total amount deposited.

The perimeter of a rectangular lot of land is 436 ft. this includes an easement of x feet of uniform width inside the lot on which no building can be done. if the buildable area is 122 ft by 60 ft, determine the width of the easement. select one: a. 9 feet b. 18 feet c. 4.5 feet d. 7 feet

Complete each statement from the information given and the triangle criterion you used. if the triangles cannot be shown to be congruent, leave the box for the second triangle blank and choose for reason “cannot be determined.” carbon - regular hexagon. ∆can ≅ ∆ by

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).