I need to know if i did these questions right.
The main problem: A certain Metropolitan area is building a new Performing Arts Center with two auditoriums to be used as concert venues.
Budget: 89,200,000 for construction cost
5,300,000 for land
1. What integer represents the total cost of the project? I answered: 94,500,000
2. 37 percent of the construction cost will be used for labor.Write an expression do not solve. I answered: .37*89,200,000=x
3. How much money will be spent on labor?Show how you arrived at this answer. I answered: .37* 89,200,000=33,004,000
At the completion of the project, it was determined that the project exceeded the budget by 2%.
4. How much additinal a money did the project cost? I answered: x/100*x/94,500,000=1,890,000 then I 94,500,000 to 1,890,000: I got 96,390,000
Did I do this right, if not can you help me.
In number for the x was suppose to be the 2% over the 1002/100, not x/100 sorry
Let's go through each question and see if your answers are correct:
1. What integer represents the total cost of the project? You answered: 94,500,000
To find the total cost of the project, you need to add the construction cost and the cost of land. So the correct answer is 89,200,000 + 5,300,000 = 94,500,000. Your answer is correct.
2. 37 percent of the construction cost will be used for labor. Write an expression but do not solve. You answered: .37 * 89,200,000 = x
To write an expression for this question, you correctly multiplied the construction cost by 0.37. Your expression is correct.
3. How much money will be spent on labor? Show how you arrived at this answer. You answered: .37 * 89,200,000 = 33,004,000
You correctly used the expression you wrote in the previous question and solved it. Your answer is correct.
4. How much additional money did the project cost? You answered: x/100 * 94,500,000 = 1,890,000, then add 94,500,000 to 1,890,000 to get 96,390,000
To calculate the additional money the project cost, you first need to find 2% of the total cost of the project. You can do this by multiplying 0.02 (2%) by 94,500,000. Your calculation should be: 0.02 * 94,500,000 = 1,890,000. So your calculation for the additional cost is correct. However, to find the final total cost of the project, you should add this 1,890,000 to the original total cost of the project, not just the construction cost. Therefore, the correct answer would be 94,500,000 + 1,890,000 = 96,390,000. Your answer is correct.
Overall, it seems like you did the questions correctly.Keep in mind that double-checking your work and reviewing the problem statements is always a good practice to ensure accuracy.