The actual income for this month has been reduced by $200. how can this budget be modified so there will be a positive actual net income? monthly budget budgeted amount actual amount income wages $1250 $1050 expenses rent utilities food clothes cell phone $450 $150 $220 $200 $75 $ $ $ $ $ net income $155 $ a. this budget can be modified by increasing the amount spent on food and utilities and decreasing the amount spent on clothes and rent, thereby maintaining a positive actual net income. b. this budget can be modified by reducing the amount spent on rent and utilities, thereby reducing overall expenses to have the maximum amount of money for all other expenses. c. this budget can be modified by reducing the amount spent on food and clothes, thereby reducing overall expenses to have the maximum amount of money for fixed expenses and maintaining a positive actual net income. d. this budget cannot be modified.

Passengers usually start to board their flights 1 hour before the scheduled take off time. the gate will be closed 15 minutes before the takeoff time. jack’s plane is scheduled to take off at 12: 05 a. m. if he arrives at the gate at 11: 45 p. m., can he board the flight?

Part one: measurements 1. measure your own height and arm span (from finger-tip to finger-tip) in inches. you will likely need some from a parent, guardian, or sibling to get accurate measurements. record your measurements on the "data record" document. use the "data record" to you complete part two of this project. name relationship to student x height in inches y arm span in inches archie dad 72 72 ginelle mom 65 66 sarah sister 64 65 meleah sister 66 3/4 67 rachel sister 53 1/2 53 emily auntie 66 1/2 66 hannah myself 66 1/2 69 part two: representation of data with plots 1. using graphing software of your choice, create a scatter plot of your data. predict the line of best fit, and sketch it on your graph. part three: the line of best fit include your scatter plot and the answers to the following questions in your word processing document 1. 1. which variable did you plot on the x-axis, and which variable did you plot on the y-axis? explain why you assigned the variables in that way. 2. write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. show all your work, including the points used to determine the slope and how the equation was determined. 3. what does the slope of the line represent within the context of your graph? what does the y-intercept represent? 5. use the line of best fit to you to describe the data correlation.

In the diagram, ab is tangent to c, ab = 4 inches, and ad = 2 inches. find the radius of the circle.