Answer:
$104.19
Step-by-step explanation:
We will use the compound interest formula to solve this:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, lets change 5% into a decimal:
5% ->
-> 0.05
Now, plug the values into the equation:


After 3 years, Maria will have $104.19
Answer:
- Yes, diagonals bisect each other
Step-by-step explanation:
<em>See attached</em>
Plot the points on the coordinate plane
Visually, it is seen that the diagonals bisect each other.
We can prove this by calculating midpoints of AC and BD
<u>Midpoint of AC has coordinates of:</u>
- x = (1 - 1)/2 = 0
- y = (4 - 4)/2 = 0
<u>Midpoint of BD has coordinates of:</u>
- x = (4 - 4)/2 = 0
- y = (-1 + 1)/2 = 0
As per calculations the origin is the bisector of the diagonals.
Hi there,
Take y from first equation and use it / substitute it into the second equation:
-2x + 8 = x - 1, so 3x = 9, therefore x = 3.
Then y = x - 1 = 3 - 1 => y = 2.
Solution is (3,2).
A quick check: 2 = -2*3 + 8, true, and 3 = 2 - 1, also true.
Green eyes.