Answer:
105.12 feets
Step-by-step explanation:
From the figure x we can identify a rectangle and a semicircle :
Area of rectangle = Length * width
Area = 8 * 10 = 80 feet²
The Area of a semicircle = 1/2πr²
Radius, r = 8 /2 = 4 feets
A = 1/2 * 3.14 * 4²
A = 3.14 * 8
A = 25.12 feet²
Area of figure = 80 + 25.12 = 105.12 feets
This is an exponential equation that can be represented by the following:
f(x) = a(b)^x
In this case...
25143 = a(0.66)^3
25143 is the population after 3 hours.
3 is the amount of time in hours.
0.66 represents the percent of the population remaining after each hour (66% as there is a 34% decline each hour).
We must solve for a, which is the initial population.
First, simplify (0.66)^3 to 0.2874.
25143 = 0.2874a
Now divide both sides by 0.2874 to isolate a.
a = 87455
There were initially 87,455 people within the city. I wouldn't want to be in that place!
Answer:
3.456
Step-by-step explanation:
one meter is 100 millimeters
Answer:
$47
Step-by-step explanation:
Given: Store manager have predicted that 150 blanket can be sold at $32 each.
Also he has predicted sales of 2 blanket will decrease with $1 increase in price.
Now, finding price at which 120 blanket can be sold.
As we know cost of 150 blanket is $32 and we are finding for 120 blanket, which mean we have to increase price to decrease sales.
∴ 
Using unitary method to find correct price.
For 2 decrease in sales = $1 increase in price
∴ 30 decrease in sales of blanket = $15 increase in price
Next, price of 120 blanket = 
Price\ of\ 120\ blanket = 
∴ $47 should be the price for at least 120 blanket to be sold.
Write as a system y= 2 x + 2.4x - 2y = 4
{y = 4
{2x + 2.4x - 2y = 4
Substitute the value of y into the equation
2x + 2.4x - 2 x 4 = 4
Solve the equation
x= 30/ 11
A possible solution is
(x, y) = (30/11, 4)
Check the solution
4 = 2 x 30/11+ 2.4 x 30/11 - 2 x 4 = 4
Simplify the expression
4 = 4 = 4
The ordered pair is a solution
(x, y) = ( 30/11, 4)
