A lunch box costs $4.50 plus sales tax. After sales tax, the lunch box is $4.86. What is the sales tax rate?

1 answer:

3 0

8 percent (C)

To find 1% you divide 4.50 by 100, which is 0.045.

Then you have to find what is added on.
4.86-4.50 is .36

Now you divide .36 by 0.045. An easier way to do this is 360 divided by 45. This equals 8.

Hope this helped

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Solve for x 4^x-2=256

salantis [7]

We can do this problem using two ways....
Let me show you both methods.

Method 1: "Without using logs"

$4^{x-2}=256\\\\ 4^{x-2}=4^4\ \ \ \ \ |\because 4^4 \ $is the same as 256$

Now, since both sides of the equation have same base and they equal each other, then their exponent must be equal to each other. So, we equal their exponents.

After equaling the exponents, we get,
$x - 2 = 4 \\\\ x=4+2 \\\\ \boxed{x = 6} \Leftarrow $ This is your answer!!$

Now,
Method 2: "Using Logs"

$4^{x-2}=256 \\\\ ~~~~~~~\Downarrow ~~~~~~ is\ the\ same\ thing\ as\ saying \\\\$log\ _4\ 256 =x-2 \\\\ Now,\ using\ the\ log\ property\ log_AB= \frac{log_cA}{log_cB}, \ we \ get, \\\\ \frac{log_{10}256}{log_{10}4}=x-2 \\\\ 4=x-2 \\\\ 4+2=x\\\\ 6=x \\\\ \boxed{x=6} \Leftarrow $This is your answer$

So, either way we get x= 6

8 0

3 years ago

Read 2 more answers

7/7, solve for k, explain too please

ludmilkaskok [199]

Answer:

k = 7.3333333 ...

You can round accordingly of write the fraction form

Step-by-step explanation:

4/k = 6/11

6 ÷ 4 = 1.5

11 ÷ 1.5 = 7.3333333 ... (repeating)