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3 years ago

9

Diego wanted to find the 7% sales tax on purchases that total $15.99. On his calculator the display showed $1.1193 as the tax. H

ow much sales tax will Diego pay?

1 answer:

cricket20 [7]3 years ago

6 0

If I understand this question correctly, Diego will pay $1.12 because the 9 rounds the 1 up to a 2.

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Write the slip-intercept form of the equation of the line described

kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= $\frac{5}{6}$

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

$1 = \frac{20}{6} + c \\ c = 1 - \frac{20}{6} \\ c = 1 - 3 \frac{1}{3} \\ c = - 2 \frac{1}{3}$

Thus the equation of the line is $y = \frac{5}{6} x - 2 \frac{1}{3}$ .

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= $\frac{8}{3}$

$y = \frac{8}{3} x + c$

When x=3, y=3,

$3 = \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c = - 5$

Thus the equation of the line is $y = \frac{8}{3} x - 5$ .

4 0

3 years ago

ABDE is a rectangle on coordinate axes, the sides of the rectangle are parallel to the axes,

Hitman42 [59]

The coordinates of B and D are the location of the vertices B and D in the rectangle

The coordinates of B and D are (55, 30) and (55, 14)

<h3>How to determine the coordinates of B and D?</h3>

From the figure of the rectangle, we have:

A = (25,30)

C = (40, 22)

Point B has the same y-coordinate as point A

So, we have:

B = (x, 30)

The x-coordinate is then calculated as:

Bx = 2Cx - Ax

This gives

Bx = 2*40 - 25

Bx = 55

So, the coordinates of B are:

B = (55, 30)

Point D has the same x-coordinate as point B

So, we have:

D = (55, y)

The y-coordinate is then calculated as:

Dy = Cy - (By - Cy)

This gives

Dy = 22 - (30 - 22)

Dy = 14

So, the coordinates of B are:

D = (55, 14)

Hence, the coordinates of B and D are (55, 30) and (55, 14)

Read more about rectangles at:

brainly.com/question/10737082

8 0

2 years ago

Solve the inequality.

shusha [124]

Answer:

(3/2)x - 2 < 7

(3/2)x < 9

3x < 18

x < 6

answer is b

5 0

3 years ago

The hypotenuse of a right triangle is 6 inches. if one of the legs is 2 inches, find the degree measure of each angle

miskamm [114]

A and b are the 2 smaller sides, and c = hypotenus; only for right triangles,
Pythagorean Theorem states that:
${c}^{2} = {a}^{2} + {b}^{2}$
given c = 6 in., a = 2 in.
${c}^{2} = {a}^{2} + {b}^{2} \\ {6}^{2} = {2}^{2} + {b}^{2} \\ {b}^{2} = {6}^{2} - {2}^{2} = 36 - 4 \\ \sqrt{ {b}^{2} } = \sqrt{36 - 4} = \sqrt{32}$
$b = \sqrt{32} = \sqrt{16} \times \sqrt{2} = 4 \sqrt{2} \\ b = 5.66 \: inches$
So the three side are 2, 6, and 5.66 inches

5 0

3 years ago

The adjusted trial balance of Blue Spruce Corp. Shows these data pertaining to sales at the end of its fiscal year, October 31,

Tema [17]

The preparation of the Sales section of the income statement for Blue Spruce Corp. is as follows:

BLUE SPRUCE CORP.

<h3>Income Statement</h3>

For the year ended October 31, 2022

Sales Revenue $908,400

Sales Returns and Allowances (20,900)

Sales Discounts (14,700)

Net sales revenue $872,800

<h3>How makes up the net sales revenue?</h3>

The net sales revenue represents the gross revenue minus sales returns and allowances and sales discounts.

In most jurisdictions, the sales discount account is reported on the income statement as a contra revenue account. This implies that sales discounts are directly deducted from the gross sales and do not appear in the expense section nor the notes to the sales or revenue.

<h3>Data and Calculations:</h3>

Sales Revenue $908,400

Freight-Out $12,600

Sales Returns and Allowances $20,900

Sales Discounts $14,700

Thus, the preparation of the sales section of the income statement for Blue Spruce Corp. shows a net sales revenue of $872,800.

Learn more about the sales section of the income statement at brainly.com/question/24498019

6 0

2 years ago