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Kitty [74]
2 years ago
7

The product of two numbers is 450.The first number is half the second number.Which can be used to find x,the greater number?

Mathematics
1 answer:
Dafna11 [192]2 years ago
6 0
First, we must define the two numbers using x. We already know that the greater number is x. However, the smaller number is half the greater number. This can be represented by 1/2x. Now, we can create a multiplication equation to find the value of x. This equation would be x(1/2x) = 450. This can then be simplified to 1/2x^2 = 450, then x^2 = 900. Finally, x = 30, or -30. Since the question is only asking for an expression, the answer would be x(1/2x) = 450.

Hope this helps!
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The idea here is that $74,900 is Jennifer's annual salary before the deductions (the taxes, social security and medicare). Since she pays 6% in state taxes, 15% in federal taxes, 6.2% in social security and 1.45% in medicare, the deductions total 6% + 15% + 6.2% + 1.45% = 28.65%. To find out what she keeps we do the total (100%) less the deductions (28.65%) which yields 71.35%. That is, she keeps 71.35% of the total amount given ($74,900).

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We are asked for her monthly net income. That is, how much money does she take home per month after the deductions. If we assume that she is paid the same amount each month, to find her monthly net income we divide 53,441.15 by 12.

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