Answer: $434, 306.4
Step-by-step explanation:
From the information provided,
P= $163,000
R= 14% ; 14/100= 0.14
T=7 years
Using the formula,
A= Pr e^t
A= 163000*e^(0.14*7)
= 163000*e^(0.98)
= $434,306.4
The largest common divisor (GCD) here is 24, indicating how many identical sets can be created. To find this using Euclid's algorithm, you start by dividing the larger number (72) by the smaller one (48) and check the remainder, which is 24. Since 24 evenly divides all the numbers (48, 72, 120), it serves as the GCD. Each of the 24 sets will include 2 blue crayons, 2 green crayons, 2 yellow crayons, 3 red crayons, and 5 colored pictures.
Response:
A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
Detailed explanation:
Having just taken the quiz, it's worth noting that you can interchange the coordinates to observe those of the inverse function. Instances of identical x values indicate that it fails the line test, thus disqualifying it as a function with an inverse.
The answer
the full question is
If A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4) create two line segments, and AB ⊥ CD, what condition must be satisfied to establish that AB ⊥ CD?
Let A(x1, y1) and B(x2, y2) represent the first line, while C(x3, y3) and D(x4, y4) represent the second line.
The slope for the first line is given by m = (y2 - y1) / (x2 - x1).
For the second line, the slope is m' = (y4 - y3) / (x4 - x3).
The necessary condition to demonstrate that AB ⊥ CD is
(y2 - y1) * (y4 - y3)
m × m' = --------- × ------------ = -1
(x2 - x1) (y4 - y3)
