Answer:$400
Step-by-step explanation:
Let them original price be cp
Selling price=340
Percentage decrease=15
Percentage decrease=(cp-sp)/sp x 100
15=(cp - 340)/cp x 100
Cross multiplying
15cp=100(cp-340)
Opening brackets
15cp=100cp-34000
Collect like terms
100cp-15cp=34000
85cp=34000
Divide both sides by 85
85cp ➗ 85=34000 ➗ 85
cp=400
Answer:
Coordinates of the endpoint g is (10,5)
Step-by-step explanation:
The coordinates of a midpoint can be found using the formula;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
In this case, we have the mid point but we want to get the end point
Thus;
(6,1) = (x1 + 2)/2 , (y1-3)/2
x1 + 2 = 2(6)
x1 + 2 = 12
x1 = 12-2
x1 = 10
y1 - 3 = 2(1)
y1 -3 = 2
y1 = 2 + 3
y1 = 5
The coordinates of G are (10,5)
Answer:
Step-by-step explanation:
Since the pile of sand is conical, we would apply the formula for determining the volume of a cone which is expressed as
Volume = 1/3 × πr²h
Where
r represents the radius of the cone.
h represents the vertical height of the cone.
π is a constant whose value is 3.14
From the information given,
Diameter = 18 feet
Radius = Diameter/2 = 18/2
Radius = 9 feet
Height = 10 feet
Therefore,
Volume = 1/3 × 3.14 × 9² × 10
Volume = 1/3 × 3.14 × 81 × 10
Volume = 847.8 ft³
The best prediction for the number of regular spectators that the program will have in 6 years is obtained with the following formula:
Pf = Po×(1-b) ^ t
Where:
Pf = final population
Po = initial population
b = decrease rate
t = timpo in years
So:
Pf = 223.00×(1-0.047) ^ 6
Pf = 167,056
The answer is the last option.
