Even though the money is required 2 years from now, the first deposit is made only a year from now, therefore in the bank for only one year.
The second deposit will be in the bank the same day it will be taken out, so no interest whatsoever.
Thus future value
= 8200(1.062)+8200
=$16908.40
will be available assuming compounding annually.
Answer:
1a) f(x) = -1/3(x + 12)² + 9
1b) f(x) = -1/3x² - 8x - 39
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
Expand by FOIL (First Outside Inside Last)
Standard Form: ax² + bx + c = 0
Transformations Graph: f(x) = a(bx - c)² + d
- a = vertical shrink/stretch
- b = horizontal shrink/stretch
- c = horizontal movement left/right
- d = vertical movement up/down
Step-by-step explanation:
<u>Step 1: Define</u>
Reflected down and vertically stretched by 1/3: a = -1/3
Shifted vertically by 9 units: d = 9
Shifted horizontally by -12 units: c = -12
<u>Step 2: Write Vertex Form</u>
- Define: f(x) = a(bx - c)² + d
- Substitute: f(x) = -1/3(x + 12)² + 9
<u>Step 3: Write Standard Form</u>
- Define: f(x) = -1/3(x + 12)² + 9
- Expand: f(x) = -1/3(x² + 24x + 144) + 9
- Distribute -1/3: f(x) = -1/3x² - 8x - 48 + 9
- Combine like terms: f(x) = -1/3x² - 8x - 39
And we have our final answers!
1/2 area of circle (16pi)/2 . plus (length of the botton 15 by pythag. times 8 divided by 2 )===== .
8pi plus 127.5
<span>The way the landscaper should determine where to build the goldfish pond is by locating the goldfish pond at the point of concurrency of the traingle's perpendicular bisectors.</span>
