Answer:
<h3><u>Required Answer</u><u>:</u><u>-</u></h3>







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Given function: f(x) = (3x+5)/7
y = f(x) so it's the same as y = (3x+5)/7
Swap every copy of x and y to get x = (3y+5)/7
Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3
So the inverse function is f^(-1)(x) = (7x-5)/3
Answer is choice A
In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:

where,
P: principal = $12,500
A: amount earnt after t years = ?
r: interest rate in decimal form = 0.045 (4.5%)
n: times at year for the compund interes = 4 (quaterly)
Replace the previous values of the parameters into the formula for A and simplify:

Hence, the balance after 8 years is approximately $17,880.64 in the account.
The interest earnt by the account is given by the difference between the previous result and the principal invesment:
I = $17,880.64 - $12,500 = $5,380.64
Hence, the interest earnt is $5,380.64
Answer: 24 goals
Step-by-step explanation:
Melissa makes 2 goals out of every 12 shots on goal.
This means that the amount of shots needed to score a goal for her is:
= Number of shots / Number of goals
= 12 / 2
= 6 shots
She scores a goal every 6 shots.
If she makes 144 shots therefore, she will score:
= Number of shots / Number of shots needed per goal
= 144 / 6
= 24 goals