Someone help me out I have 30 minutes left on the test
1 answer:
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Answer:
Option b is correct
.
Step-by-step explanation:
Domain is the set of all possible values of x where function is defined.
Given the function:
To find the domain of the given function:
Exclude the values of x, for which function is not defined
Set denominator = 0
By zero product property;
and
⇒x = 0 and
⇒x = 0 and
Therefore, the domain of the given function is:
PART A
Given:
f(x) = 0.69(1.03)x
To find:
If the price of the product is increasing or decreasing and by what percentage
Steps:
we know the formula to find the price of Product A per year, so
f(1) = 0.69 * 1.03 * 1
Price = $0.7107
f(2) = 0.69 * 1.03 * 2
Price = $1.4214
Here the Price of Product after 2 years is greater than the price of Product after one year. So the price of the product A is increasing.
Now to find percentage increase,
Percentage increase = (FV = final value, SV = starting value)
Percentage increase =
Percentage increase =
Percentage increase = 100 %
Therefore, the percentage increase of Product A is 100%
PART B
Given:
Price of product B in 1st year = $10,100
Price of product B in 2nd year = $10,201
Price of product B in 3rd year = $10,303.01
Price of product B in 4th year = $10,406.04
To find:
Which product recorded a greater percentage change over the previous year
Steps:
We need to find the percentage change of Product B and Product A of each year. We know that the percentage change of product A is 100 % for each year, so we only need to calculate for product B
PC of product B from 1st to 2nd year =
=
= 0.01 * 100
= 1 %
PC of product B from 2nd to 3rd year =
= 1%
PC of product B from 3rd to 4th year
≈ 1%
So, percentage change of product B is 1% per year
Therefore, Product A has greater percentage change
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