What are the coordinates of point A?

Santino bought a book for $23.54. The price of the book was $22. What was the sales-tax rate?

Vika [28.1K]

We first find value of tax in dollars.

The difference between the two prices is: 23. 54 - 22 = 1.54

Therefore the sales tax in dollars is 1.54

The tax % will be (amount of tax / original cost price ) × 100

(1.54 / 22) × 100 → (0.07) × 100 = 7

So the tax rate is 7%

We can double check the answer.

7 % of 22 → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54

6 0

3 years ago

Work out an estimate for 31 times 9.87 over 0.509

Ganezh [65]

Answer:

620

Step-by-step explanation:

9.87 is about 10 and 0.509 is about 0.5

(31 * 10) / 0.5 = about 620

5 0

3 years ago

PLEASE help with this it’s my last problem

mojhsa [17]

Answer:Slope: 1

y-intercept: (0,0)

x y

0 0

1 1

7 0

2 years ago

Let vector a={1,1,1} and b={2,-1,-1} the angle between two vectors is

ella [17]

Answer: The answer will probabily be "undfined" or "error"

Step-by-step explanation: firtst u need to find the dot product of both a and b (a.b).

then the magnitude of both (√a ,√b)

then u substitute them into the equation

∅=cos-1(a.b/√a x √b)

u will find it to be error bcoz it will be (0/√3 x 0)

5 0

3 years ago

An elliptical-shaped path surrounds a garden, modeled by quantity x minus 20 end quantity squared over 169 plus quantity y minus

Margaret [11]

The <em>maximum</em> distance between any two points of the ellipse is 34 feet.

<h3>Procedure - Determination of the distance between two points of a ellipse</h3>

The maximum distance between any two points of a ellipse is the <em>maximum</em> distance between the ends of the ellipse along the <em>longest</em> axis, which is parallel to the y-axis in this case.

In addition, the equation of the ellipse in <em>standard</em> form is defined by this formula:

$\frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1$ (1)

Where:

$h, k$ - Coordinates of the center of the ellipse.
$a$ , $b$ - Lengths of each semiaxis.

Hence, the maximum distance ( $d_{max}$ ), in feet, is calculated by this formula:

$d_{max} = 2\cdot b$ (2)

If we know that $b = 17$ , then the maximum distance between any two points of the ellipse is:

$d_{max} = 2\cdot (17\,ft)$

$d_{max} = 34\,ft$

The <em>maximum</em> distance between any two points of the ellipse is 34 feet. $\blacksquare$

<h3>Remark</h3>

The statement is incomplete and poorly formatted, correct form is presented below:

<em>An elliptical-shaped path surrounds a garden, modeled by </em> $\frac{(x-20)^{2}}{169} + \frac{(y-18)^{2}}{289} = 1$ <em>, where all measurements are in feet. What is the maximum distance between any two points of the path.</em>

To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943

5 0

2 years ago