To solve this problem, let us say that:
money invested in stock A = A
money invested in stock B = B
money invested in stock C = C
The given problem states that:
C = A * (1 / 4) = 0.25 A
B = A * (1 / 2) = 0.50 A
It was stated that we only have $16,000 to invest.
Therefore:
A + B + C = 16,000
Substituting values of C and B in terms of A:
A + 0.50 A + 0.25 A = 16,000
1.75 A = 16,000
A = $9,142.86
So C and B is:
C = 0.25 (9142.86)
C = $2285.71
B = 0.50 (9142.86)
B = $4571.43
Answer:
5x -12 = 3x +8 (set the two = each other because they are the same length)
2x- 12= 8 (subtract 3x from both sides)
2x = 20 (add 12 to both sides)
x=10 (what x= for both expressions)
5(10) -12 (plug it into the first one to see what the length is and to see they're =
50 - 12 ( I already multiplied, now subtract)
38 (what the length of TR is)
3(10) +8 (plug it in again but into the other expression)
30+8 (multiply and add)
38 (the two have the same answer, so the x-value is correct.)
38+38= 76 (add the lengths of RS and TR and you get the length of TS)
Step-by-step explanation:
I hope this helps :)
Answer:
6.5
Step-by-step explanation:
you take the sides all added up (which was 13in) and divided it by two
#1). The length of the whole circumference is (π · D) = 12π .
120° is 1/3 of 360°, so arc-AB is 1/3 of the whole circumference.
#2). 60° is 1/6 of 360°.
So arc-CD is 1/6 of the whole circumference (which is given).
#3). The circumference of the circle is (π·D) = 20π .
70° is (70°/360°) of the whole circle, so arc-XY
is (70/360) of the whole circumference.
#4). Sorry, I don't remember anything right now about
angles between chords.
I hope what I've given you so far is worth 5 points.