Answer:
Option a.
I and III
Step-by-step explanation:
Observing the graph
For n=400 coats
The cost is about $2,200
and
The revenue is less than $1,400
Substitute the value of n=400 in each equation to find the solution
I Cost 1.5(400)+1,600=$2,200 ----> is ok
II Cost 4.5(400)+1,600=$3,400 ----> is not ok ( is greater than $2,200)
III Revenue 3.25(400)=$1,300 ----> is ok ( is less than $1,400)
IV Revenue 5.75(400)=$2,300 ----> is not ok ( is greater than $1,400)
therefore
The solution is I and III
Let the actual value of the stool be x.
So if the carpenter sells the stool x rupees he neither loses, now wins anything.
67.50 is the value x - 10% of x, that is:
67.50=x-0.1x
67.50=0.9x
x=67.50/0.9=75 (rupees) is the actual value of the stool.
Selling the stool for 82.50 rupees, the carpenter clearly would make a profit, say of y% of that actual value, that is y%*75.
So using the same method:
82.50=75+y%*75
y%*75=82.50-75=7.5
we can make the calculations, but clearly 7.5 is 10% of 75
Answer: 10% gain.
Answer:
i don't even know the answer to this stuff lol
Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)
Answer:
This repayment will ultimately reduce her monthly bank account balance
Step-by-step explanation:
This repayment will ultimately reduce her monthly bank account balance. That is because the steady monthly income that Emma would normally receive to her bank account will be taken out of her account and sent to her sister's account. This will continue to occur for 13 months until Emma pays back the $312 that she borrowed from her sister. Once the 13 months are over and her debt is paid, her monthly bank balance will return to normal and begin increasing as her income payments get deposited.
