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MrRa [10]
3 years ago
8

The total profit for a company in February was 15% higher than it was in January. The total profit for the two months was $122,9

80. Find the profit for January
Mathematics
1 answer:
stepladder [879]3 years ago
7 0

Answer:

The profit for January is $57,200.

Step-by-step explanation:

The total profit for the two months would be the result of adding up the profit in January plus the profit in February:

Total profits=Profit in January+Profit in February

Also, you can say that profits in January can be represented by x and you know that the profit for a company in February was 15% higher than it was in January which can be expressed as: 1.15x. Moreover, you know that the total profit for the two months was $122,980. Now, you can replace the values on the formula:

122,980=x+1.15x

Now, you can solve for x:

122,980=2.15x

x=122,980/2.15

x=57,200

According to this, the answer is that the profit for January is $57,200.

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Determine whether the graphs of y=1/2x-8 and y=-2x-6 are parallel, perpendicular, coincident, or none of these.
katovenus [111]

Answer:

They are parallels

Step-by-step explanation:

3 0
3 years ago
Ms.Lamberson got a new puppy abd weighed it in September and October in September the Puppy Weighed9 and one Fourth pounds In Oc
ddd [48]

Answer: The puppy was 2.25\ lb havier in October that it was in September.

Step-by-step explanation:

You need to make the conversion from mixed numbers to decimal numbers. To do it, divide the numerator of the fraction by the denominator add the result to whole part number:

9\frac{1}{4}=9+0.25=9.25\\\\11\frac{1}{2}=11+0.5=11.5

The weight of the puppy in September was:

w_1=9.25\ lb

And its weight in October was:

w_2=11.5\ lb

Subtract its weight in September from its weight in October in order to find how much heavier the puppy was in October than it was in September:

w_2-w_1=11.5\ lb-9.25\ lb=2.25\ lb

8 0
3 years ago
78. How can the polynomial, 18x^2 + 30x^6 be factored using the GCF?
dexar [7]

Answer:

6x^2(5x^4 +3)

Step-by-step explanation:

The greatest common factor of 18 = 3·6 and 30 = 5·6 is 6.

The greatest common factor of x^2 and x^6 is x^2.

Factoring 6x^2 from both terms, we get ...

... 18x^2 +30x^6 = 6x^2(3 +5x^4)

_____

<em>Comment on the question</em>

Since this answer is not among the answer choices, I suggest you ask your teacher to demonstrate how this problem is worked.

It appears as though the answers go with the problem 18x^9 +30x^6. Maybe there's a typo somewhere. For that problem, the best choice is the 2nd answer.

6 0
3 years ago
Solve for x.2 1/4x = 8 1/2
lorasvet [3.4K]

Answer:

\large\boxed{x=3\dfrac{7}{9}}

Step-by-step explanation:

2\dfrac{1}{4}x=8\dfrac{1}{2}\qquad\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{2\cdot4+1}{4}x=\dfrac{8\cdot2+1}{2}\\\\\dfrac{9}{4}x=\dfrac{17}{2}\qquad\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup^1\cdot\dfrac{9}{4\!\!\!\!\diagup_1}x=4\!\!\!\!\diagup^2\cdot\dfrac{17}{2\!\!\!\!\diagup_1}\\\\9x=(2)(17)\\\\9x=34\qquad\text{divide both sides by 9}\\\\x=\dfrac{34}{9}\\\\x=3\dfrac{7}{9}

6 0
3 years ago
Victor is in the 28% tax bracket.
castortr0y [4]

Incomplete question. I've made some assumptions to provide clarity.

Answer:

<u>a. $45,743.07</u>

<u>b. $44,843.07</u>

<u>Step-by-step explanation:</u>

Let's assume Victor is a single filer with an income of $100,000.

Using the 2017 tax bracket rates for single filers, Victor would be expected to pay:

- 10 percent on the first $9,325 = 10% x 9525 =$932.5

- plus 15 percent of the amount between $9,326 and $37,950 (37950-9326) x 15% = $4293.6

- plus 25 percent of the amount between $37,951 and $91,900 (91900-37,951 ) x25% = $13487.25

- plus 28 percent of the amount over $91,901-$191,650 (191650-91901) x 28% = 27929.72

Total=  $46,643.07

Minus $900 tax credit= $46,643.07-$900= $45,743.07

Minus $900 charitable contribution = $45,743.07-$900= $44,843.07

7 0
3 years ago
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