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Answer: length = 24 ft
Width = 8 ft
Step-by-step explanation:
Let L represent the length of the barn.
Let W represent the width of the barn.
The area of a rectangular wall of a barn is 192 sq. Ft. This means that
LW = 192- - - - - - - - - - - - - - -1
It's length is 8 ft longer than twice it's width. This means that
L = 2W + 8
Substituting L = 2W + 8 into equation 1, it becomes
W(2W + 8) = 192
2W² + 8W = 192
2W² + 8W - 192 = 0
Dividing through by 2, it becomes
W² + 4W - 96 = 0
W² + 12W - 8W - 96 = 0
W(W + 12) - 8(W + 12) = 0
(W - 8)(W + 12) = 0
W = 8 or W = - 12
Since the width cannot be negative, then W = 8
L = 192/W = 192/8
L = 24
The solution to the problem is as follows:
let
R = $619.15 periodic payment
i = 0.0676/12 the rate per month
n = 48 periods
S = the future value of an ordinary annuity
S = R[((1 + i)^n - 1)/i]
S = 619.15*[(1 + 0.0676/12)^48 - 1)/(0.0676/12)]
S = $34,015.99
I hope my answer has come to your help. God bless and have a nice day ahead!
= 3a^2b(cuberoot(b^2)) - 3a^2b^3(square root(3a))
answer is the first choice
