According to one survey, the number of consumers who planned to purchase a television for the purposes of viewing the Super Bowl rose from 1.4 million in 2005 to 4.5 million in 2011. Suppose that in 2005 the average purchase price for a television was $935. In 2011 the average purchase price for a television was down to P dollars. If everyone surveyed in 2005 and 2011 who indicated that they planned to purchase a television for viewing the Super Bowl actually did, for what value of P would the total amount spent by those consumers be the same in 2005 and 2011? Express your answer as a decimal rounded to the nearest cent.
935*1.4 mil = P*4.5 mil (mult 935 by 1.4)
1309 mil = P*4.5 mil (divide both sides by 4.5)
290.8888888888888=P
So P = $290.89
two congruent opposite sides of a trapezoid are each 4 inches longer than the top base of the trapezoid. The top base of the trapezoid is one third as long as the bottom base of the trapezoid. If the perimeter is 56 inches, what is the length of each of the four sides of the trapezoid?
Answer to Jade:
The bottom of the Trapezoid =x, the top = (1/3x), the sides then = (1/3x + 4").
So the equation looks like this:
x + 1/3x + (1/3x + 4) + (1/3x +4)=56
Solve for X:
2x + 8 = 56
then x=24
Plug your # for x back into the dim. for each side and you get:
Bottom = x = 24
Top = (1/3(24)) = 8
Sides= (1/3(24))+4 = 12
what is the square feet of 804
To find the value of P, we need to calculate the total amount spent by consumers in both 2005 and 2011.
In 2005, the number of consumers who planned to purchase a television was 1.4 million, and the average purchase price was $935. Therefore, the total amount spent in 2005 can be calculated as:
Total spent in 2005 = Number of consumers * Average purchase price
Total spent in 2005 = 1.4 million * $935
Total spent in 2005 = $1,309,000,000
In 2011, the number of consumers who planned to purchase a television was 4.5 million, and the average purchase price was P dollars. We need to find the value of P such that the total amount spent in 2011 is the same as in 2005.
Total spent in 2011 = Number of consumers * Average purchase price
Total spent in 2011 = 4.5 million * P
Total spent in 2011 = 4.5P million
Since we want the total amount spent in 2011 to be the same as in 2005, we can set up the following equation:
$1,309,000,000 = 4.5P million
To solve for P, we need to convert both sides of the equation to the same units. Since we want the answer rounded to the nearest cent, we will use the following conversion:
1 million dollars = $1,000,000
Now we can solve for P:
$1,309,000,000 = 4.5P million
$1,309,000 = 4.5P
Divide both sides by 4.5 to isolate P:
P = $1,309,000 / 4.5
P ≈ $291,111.11
Therefore, the value of P, rounded to the nearest cent, is approximately $291,111.11.