Answer:
Shop A = 113 pence
Shop B = 101 pence
Step-by-step explanation:
Given :
Shop A :
5kg for £5.65
Shop B:
2kg for £2.02
Price per kg :
weight / price
100 pence = £1
Shop A :
Price of 1kg :
5.65 / 5 = £1.13 = 113 pence
Shop B:
2.02 / 2 = £1.01 = 1.01 * 100 = 101 pence
For this case we have a function of the form:
Where,
n0: initial amount (in units of millions)
b: growth rate
t: time in years
Substituting values we have:
Answer:
the number of toys being produced, n (in millions), in t years is:
D.
The total the salesperson earned was $365.50
Explanation:
We can write the formula for the salespersons salary as
E=b+1/6s
so tell me if i helped
<h3>Given</h3>
S = πr√(r^2+h^2)
h = 8 m (constant)
<h3>Find</h3>
An approximation of S when r changes from 9 to 8.9
<h3>Solution</h3>
Such an approximation is usually made by estimating the change using the first derivative. That derivative with respect to r is
... S' = π√(r^2+h^2) + πr(1/2·r)/√(r^2+h^2)
... S' = π(2r^2 +h^2)/√(r^2 +h^2) . . . . . use a common denominator
For r=9, h=8, this is
... S' = π(2·81 +64)/√(81+64) = 226π/√145 ≈ 58.96
Then the change in lateral surface area will be approximately
... ∆S ≈ (∆r)·S' ≈ (-0.1)·(58.96) ≈ -5.90 . . . m²
Answer:
Option (1)
Step-by-step explanation:
Equation of a quadratic function,
y = a(x - h)² + k
Here (h, k) is the vertex
From the picture attached,
Vertex of the parabola is (2, -5)
So the equation of the function will be,
y = a(x - 2)² - 5
Since, the graph passes through a point (0, 3)
3 = a(0 - 2)² - 5
3 = 4a - 5
4a = 8
a = 2
Equation will be,
y = 2(x - 2)² - 5
y = 2(x² - 4x + 4) - 5
y = 2x² - 8x + 8 - 5
y = 2x² - 8x + 3
But the shaded area is outside the graph so the quadratic inequality will be,
y ≤ 2x² - 8x + 3
Option (1) will be the answer.