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3 years ago

8

Sanya currently earns $25.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise. How much wi

ll she earn each hour after the raise?
PICTURE ADDED

2 answers:

Rus_ich [418]3 years ago

8 0

Answer:

28.75

Step-by-step explanation:

15% of 25 is 3.75

3.75 + 25 = 28.75

serious [3.7K]3 years ago

3 0

Answer:
28.75
Step-by-step explanation:
We can do 15% of 25 which is 3.75. Add this on to 25, and get 28.75.

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First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
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Find the logarithmic function y = logbx that passes through the points

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$b\in(0,\ 1)\ \cup\ (1,\ \infty)\\x > 0\\y\in\mathbb{R}\\--------------------------\\\\y=\log_bx\\\\For\ (1,\ 0)\to x=1,\ y=0.\ Substitute:\\\\\log_b1=0\to b^0=1\to b\in(0,\ 1)\ \cup\ (1,\ \infty)\\\\For\ (116,\ 2)\to x=116,\ y=2.\ Substitute:\\\\\log_b116=2\to b^2=116\to b=\sqrt{116}\\\to b=\sqrt{4\cdot29}\to b=\sqrt4\cdot\sqrt{29}\to b=2\sqrt{29}\\\\For\ (4,\ -1)\to x=4,\ y=-1.\ Substitute:\\\\\log_b4=-1\to b^{-1}=4\to b=\dfrac{1}{4}$

Different values of b.

<h3>Answer: There is no logarithmic function whose graph goes through given points.</h3><h3 />

Maybe the second point is $\left(\dfrac{1}{16},\ 2\right)$

Substitute:

$\log_b\dfrac{1}{16}=2\to b^2=\dfrac{1}{16}\to b=\sqrt{\dfrac{1}{16}}\to b=\dfrac{1}{4}$

<h3>Then we have the answer:</h3>

$\boxed{y=\log_{\frac{1}{4}}x}$

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