Answer:
Below
Step-by-step explanation:
First we combine your first set of terms,
7b^2 + 2b^2 = 9b^2
There's a subtraction hidden in there!
9b^2 - 3b^2 = 6b^2
Next we do the same thing for the second term,
3b + 7b = 10b
but there's a subtraction in the expression!
10b - b = 9b
Then we finish with our third term
6 + 5 = 11
Answer:
6b^2 + 9b + 11
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
569/x=100/18
multiply both sides of the equation
569=5.55556
now we divide
569/5.55556
102.42=x
18% of 569=102.42
Answer:
y=x
Step-by-step explanation:
y=mx+b
m is the slope
b is the y-intercept
Since the y-intercept is at the 0 axis, the y-intercept will be zero
So now the equation is looks like this:
y=mx (Since y=mx+0 doesn't make a difference)
Now find the slope
Which is 1
Thus y=x
Hope this helps!
