Answer:
$36
Step-by-step explanation:
Given :
Interest rate, r = 8% = 0.08
Principal, P = 150
Time, t = 3 years
Simple interest = (principal * rate * time)
Simple interest = (150 * 0.08 * 3)
Simple interest = $36
Answer:
The coordinates of the intersection of the medians of △ABC is (1/3, 1).
Step-by-step explanation:
Consider the vertices of △ABC are A(2, 4), B(−4, 0), and C(3, −1).
Intersection of the medians of a triangle is known as centroid.
Formula for centroid of a triangle is
Using the above formula the centroid of △ABC is
Therefore the coordinates of the intersection of the medians of △ABC is (1/3, 1).
Step-by-step explanation:
You want to set one of the equations equal to either x or y. For this, I put x+y=-2 equal to y which would be y=-x-2. Then you plug this in to the other equation for y. This would give you 5x+2(-x-2)=2. When you factor the two into the parenthesis, combine like terms, and keep the x values on ones side and the other numbers on the other side, you get 3x=6
C) 225m
Explanation:
Looking at the board we see each side is 25m in length. Each side has 5 squares, therefore the length of one side of each square is 5m (25m/5=5).
Let’s count how many full squares there are. There’s 5 completely full squares (one in the middle, and one on each of the four edges).
There’s also half-full squares which we COULD calculate separately using the area of a triangle. However, we know that two halves make one full square so let’s count how many full blocks these make up. There’s 8 triangles (or half full squares), therefore there are 4 full squares.
Adding this to the clearly full blocks shows 4+5=9. There are 9 fully shaded squares. The area of a square is A=s x s (Area = length of side x length of side). Therefore, one square’s area is 5x5=25m^2. The area of 9 squares is 25 x 9 = 225m^2.
Therefore the answer is C
The instructor wants the profit to be positive, so
f(n) > 0
70n -400 > 0
n - 400/70 > 0
n > 5 5/7
The instructor must enroll at least 6 students to make a profit.
