X+y=45
2x=3y
2(45-y)=3y
90-2y=3y
90=5y
y=18
x+y=45
x+18=45
x=27
The two numbers are 18 and 27
Answer:
y=-1/3
Step-by-step explanation:
first combine like terms:
5/y-3/y=-2-4
2/y=-6
now multiply y on both sides:
2=-6y
solve the equation
y=-1/3
Answer:
{x | x < - 35 / 2}
Step-by-step explanation:
-4x / 7 > 10
Multiply both sides by 7
-4x /7 * 7 > 10 * 7
-4x > 70
Divide both sides by - 4
-4x / - 4 > 70 / - 4
x < - 35 / 2 (inequality sign changes)
Answer: B. The stocks have a yield 6.84 percentage points greater than that of the bonds.
Step-by-step explanation:
Firstly, the yield for stocks will be calculated as:
= return/ investment cost
= $3.15/$ 21.38
= 0.14733395
= 14.73%
The yield for bonds will be calculated as:
= Return/Investment cost
Return = 1,000 x 8.3% = 83
Investment cost = 1,000 x 105.166/100 = 1051.66
Yield = 83/1051.66
= 0.07892284
= 7.89%
Then, the difference between the yield will be:
= 14.73% - 7.89%
= 6.84%
Therefore, the stocks have a yield 6.84 percentage points greater than that of the bonds.
Answer:
x= 72
Step-by-step explanation:
combine the Xs on one side and then make the denominators the same and solve
8/12X +6 = 3/4X
sub 6 on both sides
then sub 3/4 (aka. 9/12)
-1/12X= -6
multiply by reciprocal (the fraction flip-flopped)(-12) on both sides
and you get 72
