Using the picture:
Between (-3, -4) and (5, -4) is:
The difference is in the x units: 5 - (-3) = 5 + 3 = 8
Between (5, 2) and (5, -4) is:
The difference is in the y units: 2 - (-4) = 2 + 4 = 6
We know the shape is a right angled triangle:
By applying Pythagoras' Theorem:
let the hypotenuse be x:
x² = 6² + 8²
x² = 36 + 64
x² = 100
Take square root of both sides
√x² = √100
x = 10
Distance between the 2 points = 10 units.
Option D.
We can solve this problem using the Triangle Inequality property. The Triangle Inequality property states that the sum of two sides of a triangle will always be greater than the third. That being said, the only answer that works is the last one, which has the answer of 9 cm, 15 cm, and 22 cm.
Answer:
77,936
Step-by-step explanation:
To find the mean, add up all the numbers, then divide by that amount of numbers. So, 12,274 + 12,368 + 12,544 + 12760 + 12,911 + 13,162 + 13,419 = 89,438/ 7 = 77,936.
Answer:
Step-by-step explanation:
Make sure you understand the formula for continuous compounding first. The formula is:
where
A= Total
P= Principal (or the amount invested at beginning)
r= Interest rate (as a decimal)
t= Time (in years)
<em>Note: e is an irrational mathematic number similar to π. Its value is around 2.72, but for these problems, you’ll need to use the version already on your calculator that will be called “</em>
.” On most calculators, it can be accessed by 2nd → ln.
Find the values that you are given:
A= What you are looking for
P= 2000
r= 8.5% as a decimal = 0.085
t= What you change
Plug these into the equation:
This is the answer!
