Answer:
y = 1
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6-(2*(y+2))=0
Step by step solution :
Equation at the end of step 1 :
6 - 2 • (y + 2) = 0
Pulling out like terms :
3.1 Pull out like factors :
2 - 2y = -2 • (y - 1)
Equation at the end of step 3 :
-2 • (y - 1) = 0
Equations which are never true :
4.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : y-1 = 0
Add 1 to both sides of the equation :
y = 1
One solution was found :
y = 1
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C^2+7 would equal 88. the first equation states that C=9, so you can just plug in 9 for C
Answer:
8.3
Step-by-step explanation:
25÷3=8.3333333
I rounded it to this.
Answer: he invested $46062.5 at 6% and $23031.25 at 10%
Step-by-step explanation:
Let x represent the amount which he invested in the account paying 6% interest.
Let y represent the amount which he invested in the account paying 10% interest.
He puts twice as much in the lower-yielding account because it is less risky.. This means that
x = 2y
The formula for determining simple interest is expressed as
I = PRT/100
Considering the account paying 6% interest,
P = $x
T = 1 year
R = 6℅
I = (x × 6 × 1)/100 = 0.06x
Considering the account paying 10% interest,
P = $y
T = 1 year
R = 10℅
I = (y × 10 × 1)/100 = 0.1y
His annual interest is $7370dollars. it means that
0.06x + 0.2y = 7370 - - - - - - - - - -1
Substituting x = 2y into equation 1, it becomes
0.06 × 2y + 0.2y = 7370
0.12y + 0.2y = 7370
0.32y = 7370
y = 7370/0.32
y = $23031.25
x = 2 × 23031.25
x = 46062.5
That would be 20 x 19 x 18 which equals 6840.
After first place is chosen, 19 spots left and so on.
The answer is 6840 ways.