Factor
(3x+4)(x-1)=0
so
3x+4=0
3x=-4
x=-4/3
x-1=0
x=1
x=1 and -4/3
The dimensions of a room are determined by its length, width and height. In this problem we will assign a length of 12', a width of 13', and a height of 8' (as standard ceiling heights in most homes are 8' high). To calculate the amount of molding needed for strips at the top of the room and the bottom of the room we need to find the perimeter of the room. A length of 12' and a width of 13' make this room a rectangle. Determine the perimeter by adding 12' + 13' and multiplying the sum by 2 to get 50'. Multiply 50' x 2 to account for a decorative strip of molding at the floor and the ceiling and you get 100' total molding needed.
Given that Megan's tax rates were as follows:
<span>No tax one the first £11000 of earnings
</span><span>Earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
</span><span>Earning in excess of 43000 and up to £150000 taxed at a rate of 40%
</span>Earnings over £150000 taxed at a rate of 45%
If Megan earned £158900 before tax last year, the amount of tax she paid in total is given as follows:
First <span>£11000 = </span><span>£0 tax
</span>Balance after first <span>£11000 = </span><span>£158900 - </span><span>£11000 = </span><span>£147900
</span>
Next (<span>£43000 - </span><span>£11000 = </span><span>£32000) = 20% of </span><span>£32000 = 0.2 x </span><span>£32000 = </span>£6400 tax
Balance after next <span>£32000 = </span><span>£147900 - </span><span>£32000 = </span><span><span>£115000</span> </span>
Next (<span>£150000 - </span><span>£43000 = </span><span>£107000) = 40% of </span><span>£107000 = 0.4 x </span><span>£107000 = </span><span>£42800 tax</span>
Balance after next <span>£107000 = </span><span>£115000 - </span><span>£107000 = </span><span>£8000</span>
Remaiming <span>£8000 = 45% of </span><span>£8000 = 0.45 x </span><span>£8000 = </span><span>£3600 tax</span>
Total tax = <span>£6400 + </span><span>£42800 + </span><span>£3600 = </span><span>£52800
Therefore, she paid a total of </span><span>£52800 in tax last year.</span>
Answer:
$8
Step-by-step explanation:
Each pack includes one pack of popcorn and one pack of candy. Since Jenny bought 4 packs, and it cost $32 in total, the equation will look like:
4x = 32
To solve this you divide 4 into each side of the equation:
4x = 32
---- ----
4 4
x = 8
The answer is 8.
Hope this helped.
Answer:
3 to 9
second is 2.5 to 15
Step-by-step explanation:
