never going to left you go
never going to left you down
Add two like terms: 16x+(-9x)=7x
Add 15 to both sides: 7x=28
Divide 7 on both sides: x=4
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)
a. Answer: D: (∞, ∞)
R: (-∞, ∞)
<u>Step-by-step explanation:</u>
Theoretical domain is the domain of the equation (without an understanding of what the x-variable represents).
Theoretical range is the range of the equation given the domain.
c(p) = 25p
There are no restrictions on the p so the theoretical domain is All Real Numbers.
Multiplying 25 by All Real Numbers results in the range being All Real Numbers.
a) D: (∞, ∞)
R: (-∞, ∞)
*********************************************************************************
b. Answer: D: (0, 200)
R: (0, 5000)
<u>Step-by-step explanation:</u>
Practical domain is the domain of the equation WITH an understanding of what the x-variable represents.
Practical range is the range of the equation given the practical values of the domain.
The problem states that p represents the number of cups. Since we can't have a negative amount of cups, p ≥ 0. The problem also states that Bonnie will purchase a maximum of 200 cups. So, 0 ≤ p ≤ 200
The range is 25p → (25)0 ≤ (25)p ≤ (25)200
→ 0 ≤ 25p ≤ 5000
b) D: (0, 200)
R: (0, 5000)
768 ÷ 32 = 24
32 × 24 = 768
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