I think its D: Having a master’s degree and getting a doctorate degree
Answer:
62
Step-by-step explanation:
you take -4403 and divide by -71. you'll have X separated and you'll have your answer on the right. X=62
Answer:it will take 5 months for the cumulative costs of the plans to be equal and the total cos is $200
Step-by-step explanation:
Let x represent the number of months that for which the cumulative costs of the plans will be equal.
Let y represent the total cost of using plan A for x months.
Let z represent the total cost of using plan B for x months.
He can either pay a $150 joining fee and a $10 monthly fee. This means that the total cost of using plan A would be
y = 150 + 10x
For plan B, he can pay a $50 joining fee and a $30 monthly fee. This means that the total cost of using plan B would be
y = 50 + 30x
To determine the number of hours for which the cumulative costs of the plans will be equal, we would equate y to z. It becomes
150 + 10x = 50 + 30x
30x - 10x = 150 - 50
20x = 100
x = 100/20 = 5 months
The total cost would be
150 + 10 × 5 = 150 + 50 = $200
so, we will eliminate one of the variables, by multiplying one of the equations by "some number" that will be the opposite of the one below, say.... let's eliminate the "y", so if we multiply (-7y) * -2, we get +14y, and 14y - 14y = 0, so let's use that.
![\bf \begin{array}{llll} -x~~-7y=~14& \times -2\implies &~~2x+14y=-28\\ -4x-14y=28&&-4x-14y=~~28\\ \cline{3-3} &&-2x~~~~~~~~=~~0 \end{array} \\\\\\ -2x=0\implies \boxed{x=0} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using that \underline{x} in the 1st equation}}{-(0)-7y=14}\implies y=\cfrac{14}{-7}\implies \boxed{y=-2} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (0, -2)~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Bllll%7D%20-x~~-7y%3D~14%26%20%5Ctimes%20-2%5Cimplies%20%26~~2x%2B14y%3D-28%5C%5C%20-4x-14y%3D28%26%26-4x-14y%3D~~28%5C%5C%20%5Ccline%7B3-3%7D%20%26%26-2x~~~~~~~~%3D~~0%20%5Cend%7Barray%7D%20%5C%5C%5C%5C%5C%5C%20-2x%3D0%5Cimplies%20%5Cboxed%7Bx%3D0%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Busing%20that%20%5Cunderline%7Bx%7D%20in%20the%201st%20equation%7D%7D%7B-%280%29-7y%3D14%7D%5Cimplies%20y%3D%5Ccfrac%7B14%7D%7B-7%7D%5Cimplies%20%5Cboxed%7By%3D-2%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20%280%2C%20-2%29~%5Chfill)
