The Pythagorean theorem is used to find the distance between two points. If that distance is "c", it satisfies the relation
... a² + b² = c²
where "a" and "b" are the horizontal and vertical differences between the point coordinates. Here,
... a = 7 - 3 = 4 . . . . horizontal difference
... b = 12 - 9 = 3 . . . . vertical difference
Then we have
... 4² + 3² = c² = 25
... c = √25 = 5
The length of AB is 5 units.
Answer:
We will $ 6.25 of interest every 30 days.
Step-by-step explanation:
Please notice that a month equals 30 days and that earning due to interests will be only effective after each 30th day. The simple interest formula is defined by the following formula:
(1)
Where:
- Borrowed money, measured in monetary units.
- Simple interest rate, measured in percentage.
- Number of periods, measured in months.
- Interested gain due to borrowed money, meausred in monetary units.
If we know that ,
and
, then the interest earned is:
We will $ 6.25 of interest every 30 days.
Starting from
take the first derivative using the power and chain rules:
Now take the second derivative:
Optionally, you can condense the second derivative a bit by factoring out , which gives