Karen buys a stereo for the sale price

Mathematics

1 answer:

Degger [83]3 years ago

4 0

Answer:

50%

Step-by-step explanation:

you divide 81.90 by 163.80 and get .5 so then you move the decimal over 2 times to get a percent which is 50%

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a state charges an 8.5% sales tax and a 10% excise tax on gasoline. he purchased $25 of gasoline before tax. How should he find

Mama L [17]

Answer:

The total money spend on total tax of purchase is $4.625

Step-by-step explanation:

Given as :

The percentage of sales tax applied on gasoline purchase = 8.5%

The percentage of excise tax applied on gasoline purchase = 10%

The price of gasoline before tax = $25

Let The total money on total tax of purchase = $x

Now, Total percentage of tax = sales tax percentage + excise tax percentage

i.e Total percentage of tax = 8.5% + 10%

Or, Total percentage of tax = 18.5%

Again

total money on total tax of purchase = $25 of total total tax percentage

Or, x = $25 × 18.5%

Or, x = $25 × $\dfrac{18.5}{100}$

Or, x = $25 × 0.185

∴ x = $4.625

So,The total money on total tax of purchase = x = $4.625

Hence,The total money spend on total tax of purchase is $4.625 Answer

4 0

3 years ago

For the love of God help me !! I'm desperate for it tomorrow

Eduardwww [97]

Try to relax. Your desperation has surely progressed to the point where
you're unable to think clearly, and to agonize over it any further would only
cause you more pain and frustration.
I've never seen this kind of problem before. But I arrived here in a calm state,
having just finished my dinner and spent a few minutes rubbing my dogs, and
I believe I've been able to crack the case.

Consider this: (2)^a negative power = (1/2)^the same power but positive.

So:
Whatever power (2) must be raised to, in order to reach some number 'N',
the same number 'N' can be reached by raising (1/2) to the same power
but negative.

What I just said in that paragraph was: log₂ of(N) = - log(base 1/2) of (N) .
I think that's the big breakthrough here.
The rest is just turning the crank.

Now let's look at the problem:

log₂(x-1) + log(base 1/2) (x-2) = log₂(x)

Subtract log₂(x) from each side:

log₂(x-1) - log₂(x) + log(base 1/2) (x-2) = 0

Subtract log(base 1/2) (x-2) from each side:

log₂(x-1) - log₂(x) = - log(base 1/2) (x-2) Notice the negative on the right.

The left side is the same as log₂[ (x-1)/x ]

==> The right side is the same as +log₂(x-2)

Now you have: log₂[ (x-1)/x ] = +log₂(x-2)

And that ugly [ log to the base of 1/2 ] is gone.

Take the antilog of each side:

(x-1)/x = x-2

Multiply each side by 'x' : x - 1 = x² - 2x

Subtract (x-1) from each side:

x² - 2x - (x-1) = 0

x² - 3x + 1 = 0

Using the quadratic equation, the solutions to that are
x = 2.618
and
x = 0.382 .

I think you have to say that x=2.618 is the solution to the original
log problem, and 0.382 has to be discarded, because there's an
(x-2) in the original problem, and (0.382 - 2) is negative, and
there's no such thing as the log of a negative number.

There,now. Doesn't that feel better.

4 0

3 years ago

Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)

11111nata11111 [884]

According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so