Answer:
Given :
The length of a rectangle is 4 cm more than its width
The area of the rectangle is 96 cm²
To Find :
Width of the rectangle.
Solution :
Let the length of the rectangle be x cm.
Let the breadth of the rectangle be y cm.
Case 1:
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Case 2 :
We have the formula for area of the rectangle as follows :
Where,
l = length → x cm
b = breadth → y cm.
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Substitute, x = 96/y in equation 1,
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Divide by minus sign,
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As per assumption, y = breadth of the rectangle.
•°• y = -12 is not acceptable.
Substitute, y = 8 in equation 1,
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Rent, wages and car insurance don't vary much. Grocery expenses depend upon the particular groceries purchased each time one goes to the grocery store, and are least likely to be steady / constant from week to week.
The given formula is f(x) = 20(1.2)^x
The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.
A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)
B) the original amount is $20
C) for 2 weeks, replace x with 2 and solve:
20(1.2)^2
20(1.44) = $28.80
After 2 weeks the coupon is $28.80
D) To solve for the number of weeks (x) set the equation equal to $100:
100 = 20(1.2)^x
Divide both sides by 20:
5 = 1.2^x
Take the natural logarithm of both sides:
ln(5) = ln(1.2^x)
Use the logarithm rule to remove the exponent:
ln(5) = x ln(1.2)
Divide both sides by ln(1.2)
x = ln(5) / ln(1.2)
Divide:
X = 8.83
At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100
The answer is 9 weeks.
Answer:.1.77
Step-by-step explanation:
e^x = 5.9
Take the natural logarithm of both sides
x = ln (59/10)
x = 1.77
Answer:
2 > -4
Step-by-step explanation:
2 is a larger number than -4 because -4 is below the 2 which is in the positives. Hope this helps!
