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gavmur [86]
3 years ago
10

A trader sold a radio set for 72.00 making a profit of 8% .Find , correct to the nearest ghana cedis ,the cost price for the rad

io set .
Mathematics
1 answer:
VMariaS [17]3 years ago
7 0

Given:

The selling price of a ratio set = 72.00

Profit percent = 8%

To find:

The cost price for the radio set.

Solution:

Let x be the cost price for the radio set.

Radio set is sold at 8% profit.

\text{Selling price}=x+\dfrac{8}{100}x

\text{Selling price}=x+0.08x

\text{Selling price}=1.08x

The selling price of a ratio set is 72.00.

72=1.08x

\dfrac{72}{1.08}=x

x=66.666...

x\approx 67

Therefore, the cost price for the radio set is 67.

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olchik [2.2K]
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3 0
3 years ago
Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

  • The centre of the ellipse is at the origin and the X axis is the major axis

  • It passes through the points (-3, 1) and (2, -2)

<h2>To Find:</h2>

  • The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

Given that the ellipse passes through the point (-3, 1)

Hence,

\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1

Cross multiplying we get,

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  • a²b² = 9b² + a²

Multiply by 4 on both sides,

  • 4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1

Cross multiply,

  • 4b² + 4a² = 1 × a²b²
  • a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

  • 3a²b² = 32b²
  • 3a² = 32
  • a² = 32/3----(3)

Substituting in 2,

  • 32/3 × b² = 4b² + 4 × 32/3
  • 32/3 b² = 4b² + 128/3
  • 32/3 b² = (12b² + 128)/3
  • 32b² = 12b² + 128
  • 20b² = 128
  • b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1

\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
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3 years ago
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2 years ago
There was a fair at Brad's high school this weekend. It was open for 10 hours on Saturday and the ticket sales were recorded. Th
Masteriza [31]

Answer:

The rate of change is 4.6 tickets/hour.

Step-by-step explanation:

The equation that represents the ticket sales is the equation of a line:

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The equation of any given line can be writen by the following formula:

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Where "m" is the slope of the line, or the rate of change, while b is the value for "y" when "x" is zero. Therefore in this case the rate of change is the number multiplying "x", so 4.6 tickets/hour.

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2 years ago
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Reptile [31]

Answer:

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Step-by-step explanation:

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