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4 years ago

The sales tax on a $750 computer at j & m is 48.75. what is the sales tax rate

Mathematics

1 answer:

mina [271]4 years ago

8 0

48.75 / 750 = 0.065
0.065 * 100% = 6.5%

Check:
750 * 6.5% = 750 * 6.5/100 = 750 * 65/1000 = 48750/1000 = 48.75

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The solution to $\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)} = 1 + x^2$ is x = 1

<h3>How to solve the equation?</h3>

The equation is given as:

$\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)} = 1 + x^2$

Split the equation as follows:

$y\ =\ \left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}$

$y = 1 + x^2$

Next, we plot the graph of both equations (see attachment)

From the attached graph, the intersection point is (1, 2)

Remove the y value

x = 1

Hence, the solution to $\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)} = 1 + x^2$ is x = 1

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