Identify the percent of change as an increase or a decrease 20 to 30.
1 answer:
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Answer:
A) $8200.
B) 16.4%
Step-by-step explanation:
Here is the complete question: An investment firm invested in two companies last year. They invested $40,000 in company A and made a profit of 15%. They invested $10,000 in company B and made a profit of 22%.
A) What is the investment firms total profit?
B) What is the percent profit of the total investment?
Given: Company A invested $40000 and made profit of 15%
Company B invested $10000 and made profit of 22%
A) First lets find the profit of company A and B.
Company A=
∴ Profit of company A is $6000.
Company B=
∴ Profit of company B is $2200.
Total profit= profit of company A+ profit of company B
⇒
∴ Total Profit=
Hence, the total profit of investment firm is $8200.
B) Now finding the percentage of total profit made by firm.
Total investment by the firm=
∴ Total investment done by the firm is $50000.
Percent of profit=
⇒ Percent of profit=
⇒ Percent of profit=
Hence, 16.4% is the percent profit of the total investment.
The function has an inverse that is also a function is g(x) = 2x – 3.
The correct option is A.
We have to determine
Which function has an inverse that is also a function?
<h3>Inverse function;</h3>The inverse of a function is the equation where x and y have switched places.
If when you solve for y again, the function passes the vertical line test, the inverse if a function.
1. Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;
This is a line and is a function;
2. k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to;
This is a function but only for certain values of x.
3. f(x) = |x+2| is an absolute value function.
All absolute value functions do not have inverses which are functions.
4. w(x) = -20 does not have an inverse which is a function.
Hence, the function has an inverse that is also a function is g(x) = 2x – 3.
To know more about inverse function click the link given below.