Note the coordinates of each point: R(-4, 5), S(5, 1), T(2, -3).
The centroid is the point whose coordinates are the average of the coordinates of R, S, and T.
<em>x</em>-coordinate: (-4 + 5 + 2)/3 = 3/3 = 1
<em>y</em>-coordinate: (5 + 1 - 3)/3 = 3/3 = 1
So the centroid is (1, 1).
To evaluate a function at a given input, you have to substitute every occurrence of the variable with that particular value.
So, for the first function, you have

The name of the variable is obviously irrelelvant, so the same goes for the second function:

Answer: $5,828.28
<u>Step-by-step explanation:</u>
Use the Compound Interest formula:
where
- A is the accrued amount (balance)
- P is the principal (initial amount invested)
- r is the interest rate (in decimal form)
- n is the number of times compounded each year
- t is the time of the investment (in years)
Given: P = 4,900
r = 3.5% (0.035)
n = 2
t = 5

(1/4ab)^-2
Remove negative exponent by rewritten the equation as (4ab)^2
AUse Product rule to get:
4^2a^2b^2
Now raise 4 to the second power to get:
16a^2b^2
The last answer is correct.