Choice 1
Choice 1 and 3 shows parallel, choice 2 and 4 shows perpendicular. So cross out choices 2 and 4. We’re left with choices 1 and 3. I would go with choice 1 since choice 3 shows RAY A is parallel to RAY B, which isn’t true, they’re not parallel.
Answer:
2,070,281
Step-by-step explanation:
let x = number of years
let y = population
Given:
- initial population = 500000
- rate of increase = 7%
y = 500000 × 1.07^x
when x = 21:
y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281
Answer:
x²/25 + y²/9 = 1 or 9x² + 25y² = 225
Step-by-step explanation:
We have two points which is y intercepts (0,-3) and (0,3).
We know that the major axis is 2a and secondary axis is 2b
These two points are vertical top of the ellipse which they give us value of half secondary axis b = 3
The length of major axis is 2a = 10 => a = 10/2 = 5 => a = 5
The equation of the ellipse is:
x²/a² + y²/b² = 1 or b²x² + a²y² = a²b²
When we replace value of a and b we get:
x²/5² + y²/3² = 1 or 3²x² + 5²y² = 5² · 3² and finally
x²/25 + y²/9 = 1 or 9x² + 25y² = 225
God with you!!!
Answer: 
Step-by-step explanation:
By definition, the perimeter of a rectangle is:
Where "l" is the lenght and "w" is the width.
If you solve for "l":
In this case, you know that the following expression represents the perimeter of the rectangle:
And the width of that rectanle is represented wih this expression:
Therefore, based on the explained above, you can conclude that the lenght of that rectangle is given by:
Finally, simplifying the expression, you get:
Answer: $42042.50
Step-by-step explanation:
We need to use algebra and equations.
A = P x (1 + (R/n)/100)^nt
our amount (A) is $72K
the number of times we compound the money (n) is 12 (12 months in a year, 'compounded monthly')
our rate (R) is 9 (9%)
our time (t) is 6 (6 years)
we need to find our principal/initial amount (p)
72000 = p x (1 + 0.0075)^12x6
p = $42042.50
