What is 1/3 of 12 1/2?

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

3 0

To make things easier, convert the mixed number 12 1/2 into a fraction.

12 1/2 = 25/2

1/3 x 25/2 = 25/6

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Mary pays income tax according to the graduated schedule shown below. A 3-column table with 6 rows. Column 1 is labeled If taxab

Katarina [22]

Answer:

$13564

Step-by-step explanation:

$\left|\begin{array}{c|c|c}$If taxable&& \\$income&&\\$ is over&$but not over&$the tax is\\---&---&---\\$0 &7,825 &$10\% of the amount over 0\\7,825 &31,850 &$782.50 plus $15\% $ of the amount over 7,825$ \end{array}\right|$ $\left|\begin{array}{c|c|c}31,850 &77,100 &$4,386.25 plus 25\% of the amount over 31,850 \\77,100 &160,850 &$15,698.75 plus 28\% of the amount over 77,100\end{array}\right|$

$\left|\begin{array}{c|c|c}160,850 &349,700 &$39,148.75 plus 33\% of the amount over 160,850 \\349,700 &$no limit&$101,469.25 plus 35\% of the amount over 349,700\end{array}\right|$

Mary’s taxable income= $68,562

From the table, If taxable income is over $31,850 but not over $77,100

The tax = $4386.25 + 25% of the amount over 31,850

Amount over $31,850=$68,562-$31,850

=$36,712

Therefore:

Mary's tax = $4386.25 + (25% of $36,712)

=$4386.25 +9,178

=$13564.25

=$13564 (to the nearest dollar)

5 0

2 years ago

Read 2 more answers

Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?

LuckyWell [14K]

From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).

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The function (f - g)(x) is given by: $(f - g)(x) = f(x) - g(x)$
Thus, it will be positive if: $f(x) > g(x)$
Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
Thus, (f - g)(x) is positive in the interval (–∞, –2).