Answer:
0.4375
Step-by-step explanation:
Answer: Length = 9 units
Step-by-step explanation:
Let L represent the length of the rectangle.
The width of a rectangle is 2 units less than the length. It means that the width of the rectangle is (L - 2) units.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the rectangle is 63 units. It means that
L(L - 2) = 63
L² - 2L = 63
L² - 2L - 63 = 0
L² + 7L - 9L - 63 = 0
L(L + 7) - 9(L + 7) = 0
L - 9 = 0 or L + 7 = 0
L = 9 or L = - 7
Since the length cannot be negative, then
L = 9 units
Width = 9 - 2 = 7 units
Answer:
The amount of money originally borrowed by Mr. Peterson is $6,800.
Step-by-step explanation:
Let us assume the money borrowed originally = P
Rate of interest = 5%
Time = 3 years
S interest = $1020
Simple Interest = 
Substituting the all values, we get:
⇒ P = $6,800
Hence, the amount of money originally borrowed by Mr. Peterson is $6,800.
Emma will not receive a free cupcake.
The cupcake will only go to every 4th customer.
Emma is the 1st customer.
Answer:
−1.13348172≤x≤1.13348172
Step-by-step explanation:
For this problem
Add −5x2 to both sides of the inequality.
−x16 + 1 + 5x2≥0
Convert inequality to an equation.
−x16 + 1 + 5x2 = 0
Factor −x16 + 1 + 5x2
Set the factor equal to 00.
x16−5x2−1 = 0
x≈ − 1.13348172,1.13348172
so,
x≤ − 1,13348172
−1.13348172≤x≤1.13348172
x≥1.13348172
−1.13348172≤x≤1.13348172
