The resulting number is (2x)3. Hope this helps!
Answer:
Calculate Principal, Interest Rate, Time or Interest. ... You received $72 in interest after 3 years. ... where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this example I = $72, i = 4% and t = 3 years, so ...
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplifying
9x + -5 = 10x + -9
Reorder the terms:
-5 + 9x = 10x + -9
Reorder the terms:
-5 + 9x = -9 + 10x
Solving
-5 + 9x = -9 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
-5 + 9x + -10x = -9 + 10x + -10x
Combine like terms: 9x + -10x = -1x
-5 + -1x = -9 + 10x + -10x
Combine like terms: 10x + -10x = 0
-5 + -1x = -9 + 0
-5 + -1x = -9
Add '5' to each side of the equation.
-5 + 5 + -1x = -9 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = -9 + 5
-1x = -9 + 5
Combine like terms: -9 + 5 = -4
-1x = -4
Divide each side by '-1'.
x = 4
Simplifying
x = 4
Answer:
Work done in stretching the spring = 7.56 lb-ft.
Step-by-step explanation:
Normal length of the spring = 8 in or ft
= ft
If the spring has been stretched to 11 inch then the stretched length of the spring is = 11 in
= ft
Force applied to stretch the spring = 12 lb
By Hook's law,
F = kx [where k is the spring constant and x = length by which the spring is stretched]
12 = k()
k = 18
Work done (W) to stretch the spring by ft will be
W =
=
=
= 9()²
= 7.56 lb-ft