All categories

3 years ago

100 Points!!pease help

Mathematics

2 answers:

kupik [55]3 years ago

8 0

Answer:

$324.19

Step-by-step explanation:

475 x 0.35 = 166.25

Subtract 166.25 from the total cost:

475 - 166.25 = 308.75

3.Now, solve for the tax. Tax is 5% which equals (0.05). Multiply 0.05 with the new cost:

308.75 x 0.05 = ~$15.44

Add 15.44 to the sales price:

308.75 + 15.44 = $324.19

Helen [10]3 years ago

4 0

Step-by-step explanation:

Initial price=$475

Marked price = 475- 475×35℅

= 475-166.25

= 308.75

Tax =5℅

Total cost = 308.75 +5℅ of 308.75

= 308.75+ 308.75×5/100

= 308.75+ 15.437

= $324.18

You might be interested in

On the rectangular coordinate system, what is the shortest distance between points (−4, 3) and (−2, −1)?

pogonyaev

Shortest Distance = $\sqrt{ (-4+2)^{2} + (3+1)^{2} }$
Shortest Distance = $\sqrt{ (-2)^{2} + (4)^{2} }$
Shortest Distance = $\sqrt{20}$
Shortest Distance = $4.47 units$

3 0

3 years ago

Read 2 more answers

Is this relation a function by using straight line test

Drupady [299]

Answer:

Step-by-step explanation:

Graph all points. They do not make a line.

6 0

3 years ago

The equation giving a family of ellipsoids is u = (x^2)/(a^2) + (y^2)/(b^2) + (z^2)/(c^2) . Find the unit vector normal to each

Fynjy0 [20]

Answer:

$\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

Step-by-step explanation:

Given equation of ellipsoids,

$u\ =\ \dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2}$

The vector normal to the given equation of ellipsoid will be given by

$\vec{n}\ =\textrm{gradient of u}$

$=\bigtriangledown u$

$=\ (\dfrac{\partial{}}{\partial{x}}\hat{i}+ \dfrac{\partial{}}{\partial{y}}\hat{j}+ \dfrac{\partial{}}{\partial{z}}\hat{k})(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2})$

$=\ \dfrac{\partial{(\dfrac{x^2}{a^2})}}{\partial{x}}\hat{i}+\dfrac{\partial{(\dfrac{y^2}{b^2})}}{\partial{y}}\hat{j}+\dfrac{\partial{(\dfrac{z^2}{c^2})}}{\partial{z}}\hat{k}$

$=\ \dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}$

Hence, the unit normal vector can be given by,

$\hat{n}\ =\ \dfrac{\vec{n}}{\left|\vec{n}\right|}$

$=\ \dfrac{\dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}}{\sqrt{(\dfrac{2x}{a^2})^2+(\dfrac{2y}{b^2})^2+(\dfrac{2z}{c^2})^2}}$

$=\ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

Hence, the unit vector normal to each point of the given ellipsoid surface is

$\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}$

3 0

3 years ago

What is the constant of proportionality for the relationship in this table? Please answer is you know the solution. Thx

BabaBlast [244]

Answer:4

Step-by-step explanation:use https://www.cymath.com/

3 0

3 years ago

Which of the following shows a group of possible angles a triangle could have?

Delvig [45]

Answer:

C. 60 degrees, 60 degrees, 60 degrees

Step-by-step explanation:

The measures of interior angles of a triangle sum to 180°.

8 0

3 years ago