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Lena [83]
2 years ago
9

What is the value of -1/6+2/3(9-3/4)-1/2

Mathematics
1 answer:
makvit [3.9K]2 years ago
7 0

Answer:

4.8

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The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per
Mekhanik [1.2K]

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

109725=(3000+x)(20+0.01x)\\\\ 109725=60000+30x+20x+0.01x^{2}\\\\ 0.01x^{2}+50x+60000-109725=0\\\\ 0.01x^{2}+50x-49725=0\\

Using quadratic formula, we can solve this equation as:

\\ x=\frac{-50 \pm \sqrt{50^{2}-4(0.01)(-49725)}}{2(0.01)}\\\\ x=\frac{-50 \pm67}{0.02}\\\\ x=\frac{-50-67}{0.02} , x=\frac{-50+67}{0.02}\\\\  x=-5850, x=850

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

8 0
3 years ago
3×4×100±67≤65║556∪120D⊥p=13⇆87∞44f1······<br><br><br><br><br> HELP PLEASEE WHAT IS THIS????
kkurt [141]

Answer: <em>That is most likely an unsolvable question. </em>

Step-by-step explanation: PEMDAS

<u>3×4×100±67≤65</u> <em>Doesn’t work</em>.

<u>3x4= 12</u> ~ <u>12x100=1200</u> ~ <u>1200+67=1267</u>  ~ 1267<65

556∪120D⊥p=13⇆87∞44f1······ <em>Also clearly isn’t a math question </em>


<em>I am not sure if this helps. But I really did look into it and found nothing. I am So sorry to disappoint</em>.

8 0
2 years ago
The length of Albert's rectangular are listed below.
trapecia [35]
A. Length - 100 ft Width - 50 ft is the measurement of Tony's backyard.

Albert's Perimeter = 2(l+w) = 2(40+20) = 2(60) = 120 ft.

Tony's Perimeter = 120 ft * 2.5 = 300 ft
Tony's length = 40 ft * 2.5 = 100 ft
Tony's widht = 20 ft * 2.5 = 50 ft

To check tony's perimeter:
P = 2(l + w) = 2 (100 + 50) = 2 (150) = 300 ft. 
3 0
3 years ago
Convert 2x - 3y + 1 = 0 to slope-intercept form
Dafna11 [192]
Slope-intercept form is y=mx+b. our goal is to get y by itself on one side of the equation.

2x-3y+1=0
2x+1=3y
3y=2x+1
y=(2/3)x+1/3

That is the same function but in slope-intercept form.
6 0
3 years ago
this is part 2 and you just have to find the total area in sq ft and also answer how much material do you need to make 3 backpac
Lubov Fominskaja [6]

1. 1 1/8= 18/16

5/16*2= 10/16

4/16*2= 8/16

9/16= 9/16

1/2= 8/16


18/16 + 10/16 + 8/16 + 9/16 + 8/16= 53/16

Simplify:

4 & 5/16sq ft

2. All you do is multiply that by 3... so 4 & 5/16 = 53/16 53/16*3 = 159/16 = 9 & 15/16 sq ft

8 0
3 years ago
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