Answer:
$140
Step-by-step explanation:
if 30% of full price = $42 then 100% = 42/0.3 = 140
Answer:
The values of x for which the model is 0 ≤ x ≤ 3
Step-by-step explanation:
The given function for the volume of the shipping box is given as follows;
V = 2·x³ - 19·x² + 39·x
The function will make sense when V ≥ 0, which is given as follows
When V = 0, x = 0
Which gives;
0 = 2·x³ - 19·x² + 39·x
0 = 2·x² - 19·x + 39
0 = x² - 9.5·x + 19.5
From an hint obtained by plotting the function, we have;
0 = (x - 3)·(x - 6.5)
We check for the local maximum as follows;
dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0
6·x² - 38·x + 39 = 0
x² - 19/3·x + 6.5 = 0
x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2
∴ x = 1.288, or 5.045
At x = 1.288, we have;
V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99
V ≈ 22.99 in.³
When x = 5.045, we have;
V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023
Therefore;
V > 0 for 0 < x < 3 and V < 0 for 3 < x < 6.5
The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.
Answer:
£0.60
Step-by-step explanation:
If each pack costs £1.59 and Nadia orders 15 packs,
then the total order before discount = 1.59 x 15 = £23.85
From the table given, we can see that for an order of £23.85 a 2.5% discount will be applied.
Divide £23.85 by 100 to get 1%: £23.85 ÷ 100 = £0.2385
Now multiply by 2.5 to get 2.5%: £0.2385 × 2.5 = £0.59625 = £0.60
Alternatively, the calculation in one expression is:
(1.59 × 15) × 0.025 = 0.59625
Answer:
3,18 4,27
Step-by-step explanation:
Answer:
86 books
Step-by-step explanation:
A stack of books is 43 inches tall.
Each book is 
inch thick.
To find the number of books in tha stack, divide the height of the stack by the height of the book:
The division by the fraction is equivalent to the multiplication by the fraction 
so
