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Korvikt [17]
3 years ago
12

Help me please I really need help!!!!!!

Mathematics
1 answer:
zvonat [6]3 years ago
6 0

Answer:

the tax on a $90,000 salary is: $5175

Step-by-step explanation:

Given that the person earns a $90,000 annual salary, you need to use the last of the brackets , the one that reads "<em>17,001 and up</em>". That is, you need to find the 5.75% of the $90,000 in order to determine the taxes owed.

Recall that 5.75% in math terms is: 5.75/100 = 0.0575

Then the 5.75% of $90,000 is mathematically calculated as the product :

0.0575 x 90,000 = 5175

Therefore the tax on a $90,000 salary is: $5175

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Given y = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x-5%7D%7Bx%5E%7B2%7D%20-2%7D" id="TexFormula1" title="\frac{2x-5}{x^{2} -
Mashutka [201]
<h2>Given:</h2>

▪ \bold{\dfrac{2x-5}{x^{2} -2}}

▪ \bold{\dfrac{dy}{dx}}

\huge\mathbb{ \underline{SOLUTION :}}

» \tt{For \:  \:  y,}

\longrightarrow\sf{y=v \dfrac{2x - 5}{ {x}^{2}  - 2} }

\longrightarrow\sf{\dfrac{dy}{dx}  =  \cfrac{ ( {x}^{2}  - 2)(2) - (2x - 5)(2x)}{( {x}^{2}  -  {2}^{2} )}}

\longrightarrow\sf{\cfrac{2 {x}^{2}  -  4 - {4x}^{2}   + 10x}{ ({x}^{2}  -  {2}^{2} )}}

\longrightarrow{={ \boxed{\sf \cfrac{ - 2 {x}^{2}  -  4 + 10x}{ ({x}^{2}  -  {2}^{2} )}}}}

» \tt{At \:  \:  x = 2,}

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\longrightarrow\sf{\dfrac{ - 8 + 20 - 4}{4} }

\longrightarrow\sf{ \dfrac{8}{4} }

\longrightarrow{\sf = \boxed{\sf {2}}} <em>✓</em>

\huge \mathbb{ \underline{ANSWER:}}

◆ The value of the given differential function at \sf{x=2} is \sf{2.}

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