Answer:
x-coordinates of relative extrema =
x-coordinates of the inflexion points are 0, 1
Step-by-step explanation:
Differentiate with respect to x
Differentiate f'(x) with respect to x
At x = ,
We know that if then x = a is a point of minima.
So, is a point of minima.
For inflexion points:
Inflexion points are the points at which f''(x) = 0 or f''(x) is not defined.
So, x-coordinates of the inflexion points are 0, 1
Answer:
10.5 %
<u>Skills needed: Financial Math Essentials</u>
Step-by-step explanation:
1) First, before getting started, let's assume the price of the product is . This variable will be used a lot throughout the problem (
).
2) Marking a price above means increasing the price in order to make money off of the purchased product. When raising something by percent, the new price would be
.
---> In this case, the price increased by percent.
This means that it would be:
New price is:
3) The shopkeeper is then offering a percent discount off of this marked price. When offering a
percent discount price, the new price (with discount), expressed algebraically is:
---> the expression above simplifies to
In this case, ,
--->
This means that , with discount, has been raised
.
10.5 % is the profit percent
(The profit percent being the final marked up price - purchased price)