We can set up this equation using this formula:
a = p(1 + r/n)^nt
p = starting amount.
r = interest.
n = number of times it's compounded in a year
t = years
We'd set it up like this:
a = 50(1 + ?/1)^1(12)
Because we're missing the amount of interest, it would be impossible to tell what the amount would be after 12 years.
Perhaps the easiest way to find the midpoint between two given points is to average their coordinates: add them up and divide by 2.
A) The midpoint C' of AB is
.. (A +B)/2 = ((0, 0) +(m, n))/2 = ((0 +m)/2, (0 +n)/2) = (m/2, n/2) = C'
The midpoint B' is
.. (A +C)/2 = ((0, 0) +(p, 0))/2 = (p/2, 0) = B'
The midpoint A' is
.. (B +C)/2 = ((m, n) +(p, 0))/2 = ((m+p)/2, n/2) = A'
B) The slope of the line between (x1, y1) and (x2, y2) is given by
.. slope = (y2 -y1)/(x2 -x1)
Using the values for A and A', we have
.. slope = (n/2 -0)/((m+p)/2 -0) = n/(m+p)
C) We know the line goes through A = (0, 0), so we can write the point-slope form of the equation for AA' as
.. y -0 = (n/(m+p))*(x -0)
.. y = n*x/(m+p)
D) To show the point lies on the line, we can substitute its coordinates for x and y and see if we get something that looks true.
.. (x, y) = ((m+p)/3, n/3)
Putting these into our equation, we have
.. n/3 = n*((m+p)/3)/(m+p)
The expression on the right has factors of (m+p) that cancel*, so we end up with
.. n/3 = n/3 . . . . . . . true for any n
_____
* The only constraint is that (m+p) ≠ 0. Since m and p are both in the first quadrant, their sum must be non-zero and this constraint is satisfied.
The purpose of the exercise is to show that all three medians of a triangle intersect in a single point.
Answer:
Cost price of each candy = $0.80, Selling price of each candy = $1.40
Step-by-step explanation:
Given:
Ramiro buys 50 packs of candy bars for $40 before a tax of 7.5%.
He sells each candy var for 175% of what he paid before tax.
Question asked:
How much does he buy each candy bar for ?
How much does he sell one for ?
Solution:
<u>By unitary method:</u>
Cost of 50 packs of candy bars = $40
Cost price of 1 pack of candy bars = 
Cost price of each candy = $0.80
Thus, he buy each candy bar for $0.80
Now:-
As he sells each candy var for 175% of what he paid before tax:-
Selling price of each candy = 0.80 
175%
= 
Thus, he sell one candy for $1.40
Answer:
width = 8 ft & length = 32 ft.
Step-by-step explanation:
let the width be x and length be 4x.
we know, Perimeter = 2(l+b)
now,
2(4x + x) = 80
10x = 80
x = 80/10 = 8
x = 8
therefore,
width = x = 8 ft
length = 4x = 4 × 8 = 32 ft.
hope this helps you !
Distance formula: distance = sqrt((x2-x1)^2 + (y2 -y1)^2))
Distance = sqrt(( -3 - -3)^2 + (9-4)^2))
Distance = sqrt(25)
Distance = 5
Answer: 5
