Ok so x is the original price and we want to solve if the original price was 48 so x=48. When we substitute this into the equation we get 0.75(48)-0.15(0.75x48). When we simplify this expression we get 30.6. The current price is $30.60. Hope this helps.
The resulting equation will represent a line whose slope is 1/2 times the slope of the line
<h3>How to determine the slope of the new line?</h3>
The equation of the line is given as:
y = 3x/a + 5
The constant a is a positive constant.
So, when the value of a in the equation is doubled, we have:
y = 3x/2a + 5
A linear equation is represented as
y = mx + b
Where m represents the slope.
So, we have:
m1 = 3/a
m2 = 3/2a
Substitute m1 = 3/a in m2 = 3/2a
m2 = 1/2 * m1
Hence, the resulting equation will represent a line whose slope is 1/2 times the slope of the line
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The statement "everyone's individual demand for a particular good or service can be represented by the same demand curve " is false. Option B
This is further explained below.
<h3>What is
the demand curve?</h3>
Generally, In the field of economics, a demand curve is a graph that illustrates the relationship between the price of a particular commodity and the quantity of that commodity that is demanded at that price. Specifically, the graph shows how the quantity of a commodity is affected by the price of the commodity.
Demand curves may be used to analyze the price-quantity connection for a single customer, or they can be used to analyze the relationship for all consumers in a certain market.
In conclusion, It is a fallacy to assert that "everyone's individual need for a given commodity or service can be represented by the same demand curve."
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Complete Question
Everyone's indiviaual demand for a particular good or service can be represented by the same demand curve
True or false
Recall that

Dividing both sides by cosh²(x) gives

Also, recall the identity

Then

Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
The sample
Household Income
< $60,000 > $60,000
I would never purchase a newspaper subscription. 40 63
I might or might not purchase a newspaper subscription. 53 70
I would probably purchase a newspaper subscription. 65 32
I already purchase a newspaper subscription. 73 16
Generally the sample size is mathematically represented as

=> 
Generally the number of the sample with an income greater $60,000 is mathematically represented as

=> 
Generally the number of families with an income more than $60,000 who might or might not purchase a newspaper subscription is

Generally the percentage of families with an income more than $60,000 who might or might not purchase a newspaper subscription is

=> 