The budget categories which comes under variable expenses is:
d) utilities and groceries.
Variable expenses are those that fluctuate. Food costs vary, much like power does. The same goes for costs like entertainment that are more discretionary. One month you might just go to the movies once, but the next you might spend five times as much at a theme park. Some erratic costs, like going to the cinema, are budgeted. Other unforeseen costs include things like auto repairs that folks did not budget for.
Thus, variable expenses include groceries and utilities.
Whereas car payment, student loan, income, rent, mortgage and insurance comes under fixed expenses.
Hence the correct option is d) utilities and groceries.
Learn more about Variable expenses here:
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We are to find the time at which the height of basketball thrown by Eli and Karl is equal. We have the functions which model the heights of both basketballs. So by equating the functions representing the height of both basketballs we can find the value of x from that equation at which the height is same for both basketballs.
![-4.9 x^{2} +12x+2.5=-4.9 x^{2} +14x \\ \\ 12x+2.5=14x \\ \\ 2.5=2x \\ \\ x=1.25](https://tex.z-dn.net/?f=-4.9%20x%5E%7B2%7D%20%2B12x%2B2.5%3D-4.9%20x%5E%7B2%7D%20%2B14x%20%5C%5C%20%20%5C%5C%20%0A12x%2B2.5%3D14x%20%5C%5C%20%20%5C%5C%20%0A2.5%3D2x%20%5C%5C%20%20%5C%5C%20%0Ax%3D1.25)
Thus after 1.25 seconds the height of basketballs thrown by Eli and Karl will be at the same height. This can be verified by finding the heights of both at x=1.25
For Eli:
![Height=f(1.25)=-4.9 (1.25)^{2}+12(1.25)+2.5=9.84375](https://tex.z-dn.net/?f=Height%3Df%281.25%29%3D-4.9%20%281.25%29%5E%7B2%7D%2B12%281.25%29%2B2.5%3D9.84375%20)
For Karl:
![Height=f(1.25)=-4.9 (1.25)^{2}+14(1.25)=9.84375](https://tex.z-dn.net/?f=Height%3Df%281.25%29%3D-4.9%20%281.25%29%5E%7B2%7D%2B14%281.25%29%3D9.84375%20)
Thus height of both basketball is equal after 1.25 seconds
Answer:
i would help but i can't understand that im sry
Step-by-step explanation:
Answer:
volume of rectangular prism =l×w×h
volume of rectangular prism =4cm×2cm×7cm
volume of rectangular prism =56cm³
Answer:
Y= -2x -11
Step-by-step explanation:
Y-y1=m(x-x1)
Y- -1= -2(x- -5)
Y+1= -2x -10
Y= -2x -11