What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?
1 answer:
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Answer:
Step-by-step explanation:
The perimeter of a rectangle can be calcualated with this formula:
Where "l" is the lenght and "h" is the height.
The area of a rectangle can be found with this formula:
Where "l" is the lenght and "h" is the height.
In this case we know that:
Therfore, we can susbsitute them into and solve for "h" in order to find its value:
Find two number whose sum is 3 and whose product is -40. These are -5 and 8. Then, factorizing, we get:
The positive value is the height. Then:
Since the length is 3 centimeters greater than its height, we get that this is: Then:
Substituting values into , we get that the perimeter is:
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)