A rectangle is defined as a two-dimensional figure that features two pairs of equal, parallel sides. Its dimensions consist of length (L) and width (W). The area of a rectangle can be calculated using the formula that multiplies these two dimensions together. The perimeter can be expressed as
P = 2L + 2W.
Given that
A = LW = 64
therefore, W = 64/L.
Substituting this value into the perimeter formula yields
P = 2L + 2(64/L)
P = 2L + 128/L.
Answer:
Contained within.
Step-by-step explanation:
The accurate answer to the question posed is "contained within." This is because it was derived directly from the original text without requiring additional information, analysis, or interpretation in the new document.
FV = P(1 + r/t)^nt, where P denotes the principal amount, r is the interest rate, t is the frequency of compounding per year, and n is the total number of years.
Calculating: FV = 7650(1 + 0.05/4)^(9 x 4) = 7650(1 + 0.0125)^36 = 7650(1.0125)^36 = 7650(1.564) = $11,964.17
Answer:
Her age is 40 years
Step-by-step explanation:
Let Jerry's age be represented as j
Let Marjorie's age be denoted as m
The first part of the question states:
j = 4 + m/2
For the second equation:
m = 3j - 32
Multiply the first equation by 2 to get:
2j = 8 + m
Leading to m = 2j - 8
Set both equations for m equal to each other:
2j - 8 = 3j - 32
By simplifying, we get:
3j - 2j = 32 - 8
Therefore, j = 24
Now substituting back:
m = 2j - 8
m = 2(24) - 8
Thus, m = 48 - 8
Final result: m = 40
Let the number of years Brad has been on the soccer team be represented by x, and let y represent the number of years Scott has been on the same team.
From the information given, we formulate the equations:
5y - 2 = x -----(1)
x + y = 10 -----(2)
Now, substituting equation (1) into equation (2):
5y - 2 + y = 10
6y - 2 = 10
6y = 12
y = 2
Next, substituting this value back to find x:
x = 5×2 - 2
x = 8
So, Brad has spent a total of 8 years in the team.
