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Shkiper50 [21]
2 years ago
7

Anna bought a sofa set which cost $380 excluding GST.

Mathematics
1 answer:
butalik [34]2 years ago
7 0

Муну ушундан көбөйтүшүңүз керек, андан кийин эмне болуп жатканын түшүнүш үчүн бөлүң!үз. балким, бул жерде, бул татаал нерсе. сиз тегерек болушуңуз керек, балким, ушул сыяктуу нерсени билип алыңыз?

Doa. :)

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The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x,
juin [17]

Answer:

The width is: w(x)=4x^2

The length is l(x)=2x^2+3x+5

Step-by-step explanation:

The given rectangle has area given algebraically by the function:

a(x)=8x^5+12x^3+20x^2

The width of the rectangle is the greatest common factor of 8x^5,  12x^3 and 20x^2

That is the width is: w(x)=4x^2

We now divide the area by the width to obtain the length of the rectangle:

l(x)=\frac{8x^5+12x^3+20x^2}{4x^2}

This simplifies to:

l(x)=\frac{8x^5}{4x^2}+\frac{12x^3}{4x^2}+\frac{20x^2}{4x^2}

l(x)=2x^2+3x+5

5 0
2 years ago
Read 2 more answers
An astronomer wishes to measure on a photograph the distance between the image of a certain star and three other star images nea
Alexeev081 [22]
8 C 3 = 8! / (3!(8 - 3)!) = 8! / (3! * 5!) = (8 * 7 * 6 * 5!) / (3! * 5!) = (8 * 7 * 6) / (6) = 56 

<span>56 choices. </span>
4 0
2 years ago
Read 2 more answers
a triangle has an area of 38.4cm.the height of the triangle is 12.8cm.what is the length of the base of the triangle​
Solnce55 [7]

Answer: 6  cm

Step-by-step explanation:

Use equation for area of triangle

A=a*h/2

a*h=2A

a=2A/h

where a  represents base of triangle

h represents height of triangle.

h=12.8 cm

A=38.4 cm²

a=2A/h=2*38.4 cm²/12.8 cm=76.8cm²/12.8cm= 6 cm

4 0
2 years ago
an employer will do a 50% match on your investment to a 401k retirement plan. If you decide to contribute a monthly amount of $2
faltersainse [42]

Answer:

The amount that should be in the account after 15 years is $95,321.85

Step-by-step explanation:

According to the given data, we have the following:

monthly amount of $220=R

interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017

t=15years×12=180 months

In order to calculate how much should be in the account after 15 years, we would have to use the following formula:

Ap=<u>R(1-(1+i)∧-t)</u>

             i

Ap=<u>220(1-(1+0.0017)∧-180)</u>

                       0.0017

Ap=<u>162,04</u>

      0.0017

Ap=$95,321.85

The amount that should be in the account after 15 years is $95,321.85

<u />

6 0
2 years ago
Disney held a breakfast for parents and their children to eat with Mickey mouse. adult tickets cost $17.95 and children's ticket
RUDIKE [14]

Answer:

The number of children attending = 324

The number of adults attending  = 176.

Step-by-step explanation:

Here, the total number of people attending = 500

Let us assume the umber of children attending the breakfast = m

So, the number of adults attending the breakfast = 500 - m

Cost of ticket for each children  = $12.95

So, the cost of m children's tickets = m x ( Cost of 1 children ticket)

=  m x ( $12.95)  = 12.95 m .... (1)

Cost of ticket for each adult  = $17.95

So, the cost of (500 -m)  adults's tickets

= (500 - m) x ( Cost of 1 adult ticket)    = (500 -m) x ( $17.95)  

 = 8,975 - 17.95 m     .... (2)

Now, the total earnings from the total ticket sold = $7355

So, The earning from ( Adult's + children's tickets)  = $7355

⇒  12.95 m  +  8,975 - 17.95 m = $7355

or, - 5 m = 7355 - 8975 =   -1620

or, m = 1620/5 = 324

⇒  m =324

Hence the number of children attending =  m = 324

The number of adults attending = 500 - m = 500 - 324 = 176.

7 0
2 years ago
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