Answer:
The factored area of the rectangle=2(2w-5)
Area of a rectangle=length×width
Step-by-step explanation:
Area of rectangle is 4w - 10 square units
We have to factor the expression
Area of rectangle = 4w - 10
common factor=2
Area of rectangle = 2(2w - 5)
Thus the given expression is factored
Area of a rectangle=length × width
Area of the rectangle=2×(2w-5)
Thus, it is safe to say
The length=2 or (2w-5)
The width=(2w-5) or 2
For this case we are going to assume the following:
m: whole number greater than zero.
n: integer greater than zero.
Where,
n> m
According to these assumptions, the percentage of growth is given by the following formula:
Answer:
the number of students did grow by:
Answer:
A line that passes through (3, -8) and (7,-2).
Denote equation of that line: y = ax + b
=> Slope a can be directly determined by:
a = (7 - 3)/(-2 - -8) = 4/6 = 2/3
=> y = (2/3)x + b
This line passes (3, -8), then: -8 = (2/3)*3 + b => -8 = 2 + b => b = -10
=> y =(2/3)x - 10
There are other ways to find equation of line.
Hope this helps!
:)
Answer:
$1,131.20 is the amount earned
Step-by-step explanation:
<u>Key skills needed: Simple Interest Formula, Operations ( +, - , x , / )</u>
1) To understand this problem, you need to know the simple interest formula.
A = P(1+rt)
A is the amount
P is the principal
R is the interest rate as a decimal
T is the time in years
2) The 1st thing we need to do is convert the interest rate into a decimal. We have 14%. To convert into decimal form, we divide it by a 100, or move the decimal 2 places to the left. This is 0.14 --> So r=0.14
3) Next we use the formula:
A = 1,010(1+ 0.14(8))
- We first do 0.14(8) which is 1.12 and then add it to the 1 value, so you will get --> A = 1,010(2.12)
- Multiply and you will get A = $2,141.20
- To find the interest earned, you subtract this by the original amount, so $2,141.20 - $1,010 which would be $1,131.20
This means $1,131.20 is your answer.
<em>Hope you understood and have a nice day!! :D</em>
Answer:
see explanation
Step-by-step explanation:
To prove the equation id true, solve both sides and if they are equal then the equation is true.
left side = 6 × 8 = 48
right side = 3 × 2 × 2 × 2 × 2
= 6 × 2 × 2 × 2
= 12 × 2 × 2
= 24 × 2
= = 48
Since both sides are equal then the equation is true