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Iteru [2.4K]
3 years ago
5

a dining room table and chairs are priced at $869. Mrs. Brown has a coupon for $75 off the original price. If the tax on the sal

e amount is 8%, how much will Mrs. Brown pay for the table and chairs?
Mathematics
2 answers:
Arada [10]3 years ago
7 0
869 * .08 = 69.52
69.52 + 869 = 938.52
938.52- 75 =  863.52

bulgar [2K]3 years ago
4 0
$869 is the original price...
She has a $75 off coupon
Tax is 8% on sale amount

1) So, first, you will take your original price (869) and subtract $75.

869 - 75 = $794

2) You know that there is now a tax on the $794

8% is the same as 0.08. Now, you will multiply $794 x 0.08 to give you your final price. 

794 x 0.08 = $63.52

Hope this helped : ) 
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What is the value of x in the equation 2(x+3)=4(x-1)
Nina [5.8K]
Firstly, expand the equation.
2(x + 3) = 4(x - 1) \\ 2x + 6 = 4x - 4

Next, move the variable x to the left and all the constant to the right.
2x + 6 = 4x - 4 \\ 2x - 4x =  - 4 - 6 \\  - 2x =  - 10

Then, solve for x.
- 2x =  - 10 \\ x =  \frac{ - 10}{ - 2}  \\ x = 5
5 0
3 years ago
The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x fe
Westkost [7]

Answer:

  • 18 ft and 30 ft

Step-by-step explanation:

<u>The new dimensions will be:</u>

  • 10 + x and 22 + x

The area is 540

<u>Using area equation we get:</u>

  • (10 + x)(22 + x) = 540
  • x² + 32x + 220 = 540
  • x² + 32x = 320
  • x² + 2x*16 + 256 = 320 + 256
  • (x + 16)² = 576
  • x + 16 = √576  (Ignoring the negative root as the length is never negative)
  • x + 16 = 24
  • x = 8

<u>The new dimensions are:</u>

  • 10 + 8 = 18 ft and
  • 22 + 8 = 30 ft
6 0
2 years ago
Cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of
Agata [3.3K]

\bf \qquad \textit{Compound Interest Earned Amount}\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\quad \begin{cases}A=\textit{accumulated amount}\to &8000\\P=\textit{original amount deposited}\\r=rate\to 5\%\to \frac{5}{100}\to &0.05\\n=\begin{array}{llll}\textit{times it compounds per year}\\\textit{is only once, so}\end{array}\to &1\\t=years\to &3\end{cases}

\bf 8000=P\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies 8000=P(1.05)^3\implies \cfrac{8000}{1.05^3}=P\\\\\\6910.70\approx P\implies  \stackrel{\textit{rounded up}}{6911 = P}\qquad  therefore\qquad 6911~~\leqslant ~~P

6 0
3 years ago
) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle
Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

x=0,y=2\implies z=-2\implies(0,2,-2)

x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

with 0\le u\le1 and 0\le v\le1. Take the normal vector to S to be

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

8 0
3 years ago
a rhombus as an area of 72 ft and the product of the diagonals is 144. What is the length of each diagonal?
SashulF [63]

A = (1/2)(x)(y)

Let x = diagonal 1

Let y = diagonal 2

The product of xy = 144.

This means that x = 12 and y = 12.

So, 12 • 12 = 144

Each diagonal is 12 feet.

Prove:

72 feet = (1/2)(12)(12) feet

72 feet = (1/2)(144) feet

72 feet = 72 feet

6 0
3 years ago
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