F(x)=2/3x+3
What is the value of f(12)?

Answers

Answer 1

Answer:

Answer:

f=1/18x+1/4 x=-9/2+18f

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the student council is organizing a trip to a rock concert. all proceeds from ticket sales will be donated to a charity. tickets to the concert cost $31.25 per person if a minimum of 104 people attend. for every 8 extra people that attend, the price will decrease by $1.25 per person.a). how many tickets need to be sold to maximize the donation to charity?b). what is the price of each ticket that maximizes the donation?c). what is the maximum donation?

Answers

I got the maximum donation $152

Final answer:

To maximize the donation to charity, a total of 117 tickets need to be sold. The price per ticket that maximizes the donation is $29.0625. The maximum donation is $3,400.3125.

Explanation:

To maximize the donation to charity, we need to determine the number of tickets that need to be sold and the price per ticket that will result in the maximum donation.

a) To find the number of tickets, we can start with the minimum attendance requirement of 104 people. For every 8 extra people that attend, the price decreases by $1.25. So the number of extra people is calculated by dividing the total increase in price ($31.25 - $30) by the decrease per person ($1.25), which is 8. Therefore, the number of extra people is 13. To find the total number of tickets, we add the minimum attendance of 104 people and the number of extra people of 13. So the total number of tickets that need to be sold to maximize the donation to charity is 117.

b) To find the price per ticket, we start with the price of $31.25 and take into account the decrease of $1.25 for every 8 extra people. We can calculate the price decrease per person by dividing $1.25 by 8, which is $0.15625. To find the price per ticket, we subtract the decrease per person from the initial price, multiplied by the number of extra people. So the price per ticket that maximizes the donation is $31.25 - ($0.15625 × 13) = $29.0625.

c) To find the maximum donation, we multiply the price per ticket by the total number of tickets sold. So the maximum donation is $29.0625 × 117 = $3,400.3125.

Learn more about Maximizing donation to charity here:

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The number which on rounding off to the nearest thousand gives 11000 is (a) 10345 (b) 10855 (c) 11799 (d) 10056

Answers

Answer:

Step-by-step explanation:

The correct answer is (b) 10855, since rounding to the nearest thousand gives 11000.

What is 1 divided by tan(x) ?

Answers

Your answer:

1/tanx = 1/(sinx/cosx) = cosx/sinx = cotx

What is the slope of the line that is perpendicular to the line whose equation is 2x + y = 4.-2
-1/2
1/2
2

Answers

2x + y = 4
y = -2x + 4

Perpendicular Slope: ¹/₂

Suppose that the adult population is 4 million, the number of unemployed is 0.25 million, and the labor-force participation rate is 75%. What is the unemployment rate? a. 8.3% b. 18.75% c. 6.25% d. 9.1%

Answers

Answer:

a. 8.3%

Step-by-step explanation:

Unemployment rate is the percentage of unemployed people amongst those who are available for work (labour force participation) not just the entire population.

So firstly we find the people who are available for work from the total population = $(75)/(100) * 4 000 000 = 3 000 000$

Then we find the unemployment rate:

$(number of unemployed people)/(number of people available to work)*100 = (250000)/(3000000)*100 = 8.3%$

Final answer:

The unemployment rate is calculated by dividing the number of unemployed individuals by the total labor force, not the total adult population. In the scenario given, the unemployment rate is 8.3%.

Explanation:

The question asks for the calculation of the unemployment rate given an adult population of 4 million, 0.25 million unemployed, and a labor-force participation rate of 75%. It's essential to note that the unemployment rate is calculated as the number of unemployed people divided by the people in the labor force, not the total adult population.

In this case, considering the labor-force participation rate is 75%, we need to first calculate the total labor force. 75% of the adult population equals 3 million individuals (0.75 * 4 million). After that, the unemployment rate can be calculated by dividing the number of unemployed individuals by the labor force and then multiplied by 100 to get it in percentage terms. This results in (0.25 million / 3 million) * 100 = 8.3%

So, the answer is a. 8.3% is the unemployment rate.