Consider c as the cost of the widget so that our given equation is
c = 0.1w^2 + 20w
Take the derivate of the equation.
d/dt (c = 0.1w^2 + 20w)
dc/dt = 0.2w + 20
Given dc/dt = $16000 per month, the number of widgets would contain:
16000 = 0.2w + 20
-0.2w = 20 - 16000
-0.2w = -15980
w = 79900 widgets
Answer:
76.8
Step-by-step explanation:
Using the proportion
→ Percent is out of 100
= 
( cross- multiply )
100n = 7680 ( divide both sides by 100 )
n = 76.8
Answer:
16
Step-by-step explanation:
125=
16 days
Answer:
The two iterations of f(x) = 1.5598
Step-by-step explanation:
If we apply Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
Given;
f(xₙ) = cos x, then f'(xₙ) = - sin x
cos x / - sin x = -cot x
substitute in "-cot x" into the equation
xₙ₊₁ = xₙ - (- cot x)
xₙ₊₁ = xₙ + cot x
x₁ = 0.7
first iteration
x₂ = 0.7 + cot (0.7)
x₂ = 0.7 + 1.18724
x₂ = 1.88724
second iteration
x₃ = 1.88724 + cot (1.88724)
x₃ = 1.88724 - 0.32744
x₃ = 1.5598
To four decimal places = 1.5598
Let's assume
length of rectangle is L
width of rectangle is W
the width of a rectangle is 3 meters more than one-fourth its length
so,
the perimeter is 10 meters more than twice its length
we know that
perimeter =2(L+W)
so, we get
now, we can simplify it
subtract both sides by 2L
now, we can find L
subtract both sides 3
multiply both sides by 4
so,
length of rectangle is 8 meter
width of rectangle is 5 meter ............Answer
