The smiths spend 9% of their budget on entertainment. their total budget this year is $3,000 more than last year, and this year they plan to spend $4,770 on entertainment. what was their total budget last year?

The total budget of last year is $50,000 .

Step-by-step explanation:

Given as :

The percentage of budget spend on entertainment = 9%

The total budget of this year = $3000 more than that of last year

The money that will be spend this year on entertainment = $4770

Let The total budget of last year = $A

Let The total budget of this year = $B

Now, According to question

Percentage of budget spend on entertainment × total budget of this year = money that will be spend this year on entertainment

Or, 9 % × $B = $4770

Or, × B = 4770

∴ B =

i.e B = $53,000

So,The total budget of this year = B = $53,000

Again

∵ The total budget of this year = $3000 more than that of last year

i.e The total budget of this year = $3000 + total budget of last year

Or, B = $3000 + A

Or, A = B - $3000

Or, A = $53,000 - $3,000

∴   A = $50,000

So,The total budget of last year = A = $50,000

Hence, The total budget of last year is $50,000 . Answer

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answer: its c because when it has a magnet next to it it will move away from the mixture. hope this

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