What number is half-way between twenty-one and fifty-three?
2 answers:
You might be interested in
Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:
Where:
,
- Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
- Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:
Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is .
Answer:
Jack's final bank account amount will be $54,782.50, <em>earning</em> <u>$7,459.31</u> in <em>interest</em>.
General Formulas and Concepts:
<u>Algebra I</u>
Compounded Interest Rate Formula:
- <em>A</em> is final amount
- <em>P</em> is principle amount
- <em>r</em> is rate
- <em>n</em> is compounded rate
- <em>t</em> is time
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>P</em> = $47,323.15
<em>r</em> = 0.05
<em>n</em> = 1
<em>t</em> = 3
<u>Step 2: Find Interest</u>
- [Compounded Interest Rate Formula] Substitute in variables:
- Evaluate:
∴ Jack will <em>gain</em> $7,459.31 and have a net balance of $54,782.50.
---
Learn more about Algebra I: brainly.com/question/27710663
---
Topic: Algebra I