All categories

3 years ago

An item has a listed price of $90. If the sales tax rate is 5%, how much is the sales tax (in dollars)?

Mathematics

1 answer:

sesenic [268]3 years ago

6 0

The answer is $4.50.

Explanation: $90 x 5% = $4.5.

Hope I could help! :D

You might be interested in

The sum of two numbers is 49 and the difference between these two numbers is 9. What are these two numbers?Shown working out pl

8_murik_8 [283]

Let numbers be x and y

ATQ

x+y=49---(1)

x-y=9---(2)

Adding both

$\\ \sf\longmapsto 2x=58$

$\\ \sf\longmapsto x=\dfrac{58}{2}$

$\\ \sf\longmapsto x=29$

Now putting value in eq(2)

$\\ \sf\longmapsto x-y=9$

$\\ \sf\longmapsto 29-9=y$

$\\ \sf\longmapsto y=20$

7 0

3 years ago

Which statement is true?

Veronika [31]

B. is true. 15·(–5) > 23·(–12).
15·(-5)=-75.
23·(-12)=-276.

-75 > -276

7 0

3 years ago

Read 2 more answers

Evaluate f(x) = 4x + 3x^2 − 5 when x = -2. 23 -1 -25 -49

frozen [14]

Answer:

f(-2) = -1

Step-by-step explanation:

One way of doing this is to substitute -2 for x in every place where x shows up:

f(x) = 4x + 3x^2 − 5 → f(-2) = 4(-2) + 3(-2)^2 − 5

→ f(-2) = -8 + 3(4) - 5, or f(-2) = 4 - 5, or f(-2) = -1

5 0

3 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

4 years ago

What is the slope of the line that passes through (8,5), (-7,20)?

Kaylis [27]

-1, because the equation for the slope is y2-y1/x2-x1. So let's bring the y value in the second set of point, which is 20, and bring the first y value in the first set of points, which is 5. 20-5 is 15. Now let's subtract the x values. So the second x from the second parentheses x value is -7, and the first x value from the first parentheses is 8. -7-8 is -15. Now we have this division equation, 15/-15, which is -1. So therefore, the slope of the line will be -1.

7 0

3 years ago