How many different two-letter combinations can be formed from the letters G, R, A, C, and E if each letter can only be used once
in an arrangement?
A. 5
B. 20
C. 60
D. 120
A. 5
B. 20
C. 60
D. 120
1 answer:
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Answer:
1.84
Step-by-step explanation:
The given arc is a part of a unit circle centered at origin.
The x-coordinate on the unit circle represent the cosine value and y-coordinate on the unit circle represent sine value.
So, for angle equal to °, the x coordinate represents
°.
So, ° = 0.86
Similarly, the y-coordinate of angle y represent °.
So, ° = 0.98
Therefore, the value of ° +
° = 0.86 + 0.98 = 1.84.
Answer:
b1 = 22 ft
the length of the base next to the goal is 22 ft
Step-by-step explanation:
From the given formula;
Area A = 1/2×(b1 + b2)h ........1
Given;
Area A = 275ft^2
base b2 = 28 ft
base b1 = ?
height h = 11 ft
From equation 1;
Making b1 rhe subject of formula;
A = 1/2×(b1 + b2)h
Multiply through by 2;
2A = (b1+b2)h
b1+b2 = 2A/h
b1 = 2A/h - b2 ...... 2
Substituting the given values into equation 2;
b1 = 2(275)/11 - 28
b1 = 50 - 28
b1 = 22 ft
the length of the base next to the goal is 22 ft
Answer:
COMPLETE QUESTION:
Suppose the own price elasticity of demand for good X is -3, its income elasticity is 1, its advertising elasticity is 2, and the cross-price elasticity of demand between it and good Y is -4. Determine how much the consumption of this good will change if: Instructions: Enter your answers as percentages. Include a minus (-) sign for all negative answers.
a. The price of good X decreases by 5 percent.
b. The price of good Y increases by 8 percent.
c. Advertising decreases by 4 percent.
d. Income increases by 4 percent.
ANSWER
a) The quantity demanded of good X will change by 15 percent
b) The demand for X will change by -32 percent.
c) The demand for good X will change by -8 percent
d) The demand of good X will change by 4 percent
Step-by-step explanation:
Price elasticity of demand measures how responsive quantity demanded is to a change in the price of a commodity.
price elasticity = .
Note: Same applies to income,advertising and cross-price elasticity.
where, P is the price of the demanded good and Q is the quantity of the demanded good and dQ and dP are the changes in quantities of demanded goods and prices respectively.
a) Quantity demanded on goods X due to decrease by 5 percent in price is ;
-3 = , therefore percentage increase in quantity of goods demanded is (-3 x -5) = 15 percent
b) Cross- Price Elasticity; Quantity demanded on goods X due to increase by 8 percent in price in goods Y is;
-4 = , therefore percentage decrease in quantity of goods demanded is (-4 x 8) = -32 percent
c) Advertising Elasticity ; Quantity demanded on goods X due to decrease by 4 percent in advertising is;
2 = , therefore percentage decrease in quantity of goods demanded is (2 x -4) = -8 percent
d) Income Elasticity ; Quantity demanded on goods X due to increase by 4 percent in income is;
1 = , therefore percentage increase in quantity of goods demanded is (1 x 4) = 4 percent