Answer:
son's present age = 30
father's present age=60
Step-by-step explanation:
his son's present age = x years
his father's present age = 2x years
before 20 years his son's age=(x-20) years
before 20 years father's age=(2x-20) years4(x-20)=(2x-20)
4x-80=2x-20
4x-2x=80-20
2x=60
x=30
Answer:
7.45
Step-by-step explanation:
20 - 3.05 + (-9.5)
16.95 + (-9.5)
16.95 - 9.5
7.45
Y=1x-10 (sorry I could be wrong)
Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.
Answer:
-7
Step-by-step explanation:
We need to find the common difference
Take the second term and subtract the first term
5-8 = -3
Check the third term and subtract the second term
2-5 = -3
The common difference is -3
To find the next term, take the last term and subtract 3
-4-3 = -7
. r=radius. If we put the numbers into the equation it is 
We get 6 as the radius because half of 12 is 6. 6 squared is 36 and 6*14= 84. So our equation is now 
. 2*pi=6.28318530718 but let's round that to 6.283. So now our equation is much simpler 6.283(36)+6.283(84). Just multiply them. 226.188+527.772= 753.96 is your final answer.