Answer:
- A: 1/3, 2700
- B: 2/9, 1800
- C: 4/9, 3600
Step-by-step explanation:
The total number of ratio units is 3+2+4 = 9, so the fractions each school got were ...
A : B : C = 3/9 : 2/9 : 4/9
These fractions multiply the total amount raised:
A got 1/3 = 2700, B got 2/9 = 1800, C got 4/9 = 3600
Find the the amount of interest per year. Since $567 were earned over 6 years, you divide the interest earned by the number of years it took to accumulate it:
$567/6 years = $94.5/year
Divide that by the interest rate which the interest rate needs to be in decimal form:
$94.5/.0525 = $1800
Given:
Volume of the cone = π r² h/3
radius of the cone is half the radius of the cylinder ⇒ r/2
height of the cone is equal to the radius of the cylinder. ⇒ r
V = 3.14 * (r/2)² * r/3
V = 3.14 * r²/4 * r/3
V = 3.14r³ / 12
Answer:
Part 1) There are infinity locations for the point B
Part 2) see the explanation
Step-by-step explanation:
Part 1) How many possible locations are there for point B?
we know that
The equation of a line in point slope form is equal to

where


substitute

Convert to slope intercept form




Point B can be any point ( different from point A) that satisfies the linear equation
therefore
There are infinity locations for the point B
Part 2) Describes a method to location the point
To locate the point, one of the two coordinates must be known. The known coordinate is placed into the linear equation and the equation is solved to find the value of the missing coordinate
Example
Suppose that the x-coordinate of point B is 4
For x=4
substitute in the linear equation

so
The coordinates of point B is (4,10.5)