Answer:
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Step-by-step explanation:
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Answer: The length is 6 feet and the width is 10 feet.
Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.
We can now write an equation for the area of the rectangle as follows;
Area = L x W
60 = (W - 4) x W
60 = W^2 - 4W
If we rearrange all terms on one side of the equation, we now have
W^2 - 4W - 60 = 0
This is a quadratic equation and by factorizing, we now have
(W + 6) (W - 10) = 0
Hence,
Either W + 6 = 0 and then W = -6
Or W - 10 = 0 and then W = 10
We know that the side of the rectangle cannot be a negative value, so we go with W = 10.
Having calculated W as 10, the length now becomes
L = W - 4
L = 10 - 4
L = 6
Therefore, length = 6 feet and width = 10 feet
Answer:
y = 3x -2
Step-by-step explanation:
If the line is parallel, that means it has the same slope. The given equation had a slope of 3, so the new line must also have a slope of 3.
You can plug the given coordinates into the slope-intercept form with a slope of 3 to find your answer.
y = m*x + b
7 = 3*3 + b
7 = 9 + b
-2 = b
y = 3x -2
I Hope This Helps :D
To complete the square you take the coefficient of the 'b' term (10), divide it by 2 (10/2), then square it (5^2 = 25). This is the number you add.
Letter C 25
Answer:
$3540
Step-by-step explanation:
See explanation
Step-by-step explanation:
The Simple Interest will be calculated as:
= P × R × T
= $3000 × 1.8% × 10.
= $3000 × 0.018 × 10
= $540
The interest that the customer earn in 10 years is $540.
Then, the account balance after 10 years will be:
= Principal + Interest
= $3000 + $540
= $3540
Therefore, the account balance will be $3540
