Question 11 Multiple Choice Worth 5 points)

Mathematics

1 answer:

Liula [17]2 years ago

5 0

The approximate length of the diagonal of the rectangle IS 7.21 unit , Option D is the correct answer.

<h3>What is a Rectangle ?</h3>

A rectangle is a polygon with four sides and opposite sides parallel and equal , all the angles measure to 90 degree.

The diagonal of a rectangle divides it into two right angled triangle

The length of the rectangle is 6 units

The breadth of the rectangle is 4 units

The diagonal length will be equal to the hypotenuse of the triangle of side 4 and 6 units

By Pythagoras theorem

the length of the diagonal =

$\rm \sqrt{ 6^2 + 4^2}\\\\\sqrt{36+16}\\\\\sqrt {52}$

7.21 unit

The approximate length of the diagonal of the rectangle IS 7.21 unit , Option D is the correct answer.

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Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries

Setler79 [48]

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = $\frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\$

Percentage change in price =

$\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\$

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded