Hi!
We are given the information found in the picture below.
Note: The directions aren't correct, but the triangle works for this problem.
The "direct path" is the hypotenuse of this triangle.
To find this, we use the Pythagorean Theorem, where
and
are 2 legs of the triangle, and
is the hypotenuse, aka the longest side of any triangle:

We know
and
and want 



Therefore,
is approximately 
Answer:


= 2 × 625 – 5 × 125 + 25 + 3 × 5 + 2
=1250 – 625 + 25 + 15 +2
= 1292 – 625
= 667
Answer: y=0,5x²-x-1,5.
Step-by-step explanation:

We summarize (1) and (3):

Substitute b=-1 into (2):

From (5) subtract (4):

Substitute a=0,5 into (4):

Hense:
y=0,5x²-x-1,5.
Answer:
Data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20}
Step-by-step explanation:
The question is:
Which data set has the greatest spread for the middle 50% of its data
We have given the data sets:
{18,13,22, 17, 21, 24}
{17,19,22,26,17,14}
{13,17,12,21, 18,20}
{18,21,16,22,24,15}
To find the greatest spread for the middle we need to find the IQR for all the data sets and check which one is highest.
So,
For the first set: 22-17 = 5
For the second: 22-17 = 5
For the third set = 20-13 = 7
For the fourth set = 22-16 = 6
Since data set 3 has the highest IQR, so the correct option is {13,17,12,21, 18,20} ....
We all know, savings account have "Compound Interest"
So, Here, On $100 deposit, amount of Interest = $12
So, for $50, it would be: $6
Then, for $300, it is: $36
b) If you deposit $200, then balance after 1 year,
A = P(1 + r)^t
A = 200(1 + 0.03)^1
A = 200(1.03)
A = $206
Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5
Difference = 206 - 154.5 = $51.5
In short, Your Answer would be: $51.5
Hope this helps!