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BabaBlast [244]
1 year ago
10

50 POINTS

Mathematics
1 answer:
Mumz [18]1 year ago
6 0

The profit made from the business that receives an initial $100 investment are as follows;

1. The amount received from the investment is $15

2. The number of lawns that should be mowed to buy the switch is 23 lawns

3. The profit made from the business considering the cost and the initial investment of the parents is $170

<h3>What is an investment?</h3>

An investment is the money directed towards an asset purchase to increase the valuation of the business and products within a time period.

The amount invested = $100

The amount desired as return = 10% of the amount made from the business

1. The amount charged per lawn = $15

The number of lawn mowed = 10

The revenue of the business = 10 × $15 = $150

The amount paid as return on investment = 10% × $150 = $15

2. The amount required to buy the switch = $300

The number of lawns to be mowed, <em>n</em>, is therefore;

300 = 15 × n - 10% × 15 × n = 15·n - 1.5·n = 13.5·n

300 = 13.5·n

n = 300/13.5 ≈ 23 ( rounding up to the nearest whole number)

The number of lawns to be mowed is 23 lawns

3. The revenue from mowing 20 lawns is 20 × $15 = $300

The amount received by the investing parents = 10% × $300 = $30

The amount received from the parents investment = $100

The profit made after 20 lawns = $300 - $30 - $100 = $170

Learn more about percentages here:

brainly.com/question/843074

#SPJ1

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Find the value of each expression in simplest form <br> 1 2/3 + 2 3/4
Kruka [31]

Answer:

The answer is 4 5/12

Step-by-step explanation:

5/3 + 11/4

=5x4  -  3x4 +  11x3  -  4x3

=20/12 + 33/12

=53/12

Simplified

= 4 5/12

Hope this helps. :D

7 0
3 years ago
A homeowner plans to enclose a 200 square foot rectangular playground in his garden, with one side along the boundary of his pro
tigry1 [53]

Answer:

The dimensions are 50 and 100 square foot

Step-by-step explanation:

Let x = length of fenced side parallel to the side that borders the playground

   y = length of each of the other two fenced sides  

Then, x + 2y = 200

<=> x = 200-2y

The Area = xy = y(200-2y)

The dimensions of the playground that will minimize the homeowner's total cost for materials when the area of the playground is maximum. He can cover more area but with the same cost.

The graph of the area function is a parabola opening downward.

The maximum area occurs when y = -200/[2(-2)] = 50

=> x = 100

So the dimensions are 50 and 100 square foot

6 0
4 years ago
2х + 5y = 0<br> 3х – 4у = 23
lawyer [7]
Correct answer:
X = 5
Y = -2
7 0
3 years ago
Read 2 more answers
2x^3-3x^2-11x+6 divide by x-3
Alexxx [7]

Answer: 2x^2+3x-2

Step-by-step explanation:

You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.

Do \frac{2x^3}{x}=2x^2. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6

Now do \frac{3x^2}{x} =3x. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6

Your final step is to do \frac{-2x}{x} =-2. Write this -2 next to your other two parts

Multiply -2 by (x - 3) to get:

-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:

2x^2+3x-2 times

4 0
3 years ago
Read 2 more answers
X= square root of 10x-24
FrozenT [24]
√10x-24 = x


Step by step solution :

STEP
1
:
Isolate the square root on the left hand side

Radical already isolated
√10x-24 = x


STEP
2
:
Eliminate the radical on the left hand side

Raise both sides to the second power
(√10x-24)2 = (x)2

After squaring
10x-24 = x2


STEP
3
:
Solve the quadratic equation

Rearranged equation
x2 - 10x + 24 = 0

This equation has two rational roots:
{x1, x2}={6, 4}


STEP
4
:
Check that the first solution is correct

Original equation
√10x-24 = x

Plug in 6 for x
√10•(6)-24 = (6)

Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6

STEP
5
:
Check that the second solution is correct

Original equation
√10x-24 = x

Plug in 4 for x
√10•(4)-24 = (4)

Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
7 0
3 years ago
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