Answer:
37
Step-by-step explanation:
Let the integer be x.
Then the difference between the integer and 5 can be written as;
It was given that, the result is 32.
This implies that,
This is now a linear equation. We solve for x by grouping the similar terms to get,
This gives us
Therefore the integer is 37
Answer:
The value of Nick's consumer surplus for the milkshakes he buys is $3.
Step-by-step explanation:
Given : Nick can purchase each milkshake for $2. For the first milkshake purchased Nick is willing to pay $4, for the second milkshake $3, for the third milkshake $2 and for the fourth milkshake $1.
To find : What is the value of Nick's consumer surplus for the milkshakes he buys?
Solution :
Nick can purchase each milkshake for $2.
For 1st milkshake purchased Nick is willing to pay $4
Consume surplus $4-$2=$2
For 2nd milkshake purchased Nick is willing to pay $3
Consume surplus $3-$2=$1
For 3rd milkshake purchased Nick is willing to pay $2
Consume surplus $2-$2=$0
For 4th milkshake purchased Nick is willing to pay $1
Consume surplus $1-$2=$-1 cannot be consider.
We add together the surplus from the 1st, 2nd, 3rd, and 4th milkshake
i.e. $2+$1+$0=$3
Therefore, the value of Nick's consumer surplus for the milkshakes he buys is $3.
The correct answer is the commutative property of multiplication. This states that 2 or more numbers can be multiplied in either order.
First of all, let's recall the area of a triangle, knowing its base (b) and height (h):
The exercise is showing you that, if you inscribe a polynomial with more and more side, the area of the polynomial will approximate the area of the circle better and better (you can see youself that the polygon is "filling" the circle more and more as the number of sides increase).
Now, the second column tells you the area of each of the triangles the polygon is split into. So, we can see that the first polygon is split into 3 triangles, each of them having base 1.73 and height 0.5.
So, the area of each triangle is
There are three of these triangles, so the area of the whole polygon is
In the second case, you have six triangles, each with base 1 and height 0.87. So, the whole area is
Finally, in the last case you have 8 triangles, each with base 0.77 and height 0.92. So, the whole area is