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Aloiza [94]
1 year ago
14

Factorise completely 45m² - 5n².​

Mathematics
1 answer:
guapka [62]1 year ago
8 0

Answer:

5(3m+n)(3m - n)

Step-by-step explanation:

<h3>Factorize:</h3>

 First take the common factor '5' from both the terms.

    45m² - 5n² = 9*5*m² - 5n²

                        = 5*(9m² - n²)

                        = 5*( [3m]² - n²)

\sf \boxed{\bf use \ the \ identity: \ a^2 - b^2 = (a+b)(a-b)}

Here, a = 3m and b = n

                          = 5* [ (3m + n)(3m - n)]

                          = 5 *(3m + n)*(3m - n)

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Answer:

x = 38

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Step-by-step explanation:

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Subtract 66 from both sides

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Divide both sides by 3

x = 38

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∠P = x - 12

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Step-by-step explanation:

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A blender costs $18 to make and sells for $21.60. find the markup rate.
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3 years ago
The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?
tensa zangetsu [6.8K]

Answer:

Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.

Hourly Pay: $3252

Work hours per week: 40

Work weeks per year: 52

Income Tax Rate: 12%

To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:

$3252 × 40 hours

= $130,080.00 per week

$130,080.00 × 52 weeks

= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).

Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):

Social Security Tax

($6,764,160.00 × 6.2)/100

= $419,377.92

Medicare Tax

($6,764,160.00 × 1.45)/100

= $98,080.32

Income Taxes

($6,764,160.00 × 12)/100

= $811,699.20

+ $6,764,160.00 Gross Income

- $419,377.92 Social Security Tax

- $98,080.32 Medicare Tax

- $811,699.20 Federal/State/Local Taxes

= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56

We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.

Step-by-step explanation:

3 0
2 years ago
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