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)
12 5/25 as a simplified mixed number would be 12 1/5
Answer:
88cm^2
Step-by-step explanation:
Area of the rectangle: base x height
Area of parallelogram: base x height
Area of the shaded part: area of rectangle -area of parallelogram:
12x10-4x8=120-32=88
Answer:
20π sq ft ≈ 62.83 sq ft
Step-by-step explanation:
Area of table with diameter 8 ft = π*8^2/4 = 16π
Area of table with diameter 12 ft = π*12^2/4 = 36π
Difference between the area of the tables ;
= 36π - 16π
= 20π sq ft ≈ 62.83 sq ft ( π = 3.14)
Answer:
see explanation
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1,4) and (x₂, y₂ ) = (- 5, 3)
d = 
= 
= 
= 
≈4.12 ( to 2 dec. places )
To find the midpoint use the midpoint formula
[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
Using the same points as above then
midpoint = [0.5(- 1- 5), 0.5(4 + 3 ) ] = [0.5(- 6), 0.5(7) ] = (- 3, 3.5 )
