MATH133-1102B-40 College Algebra|
Assignment Name:| Unit 5 Discussion Board|
Deliverable Length:| 2–3 paragraphs|
Details:| The Discussion Board (DB) is part of the core of online learning. Classroom discussion in an online environment requires the active participation of students and the instructor to create robust interaction and dialogue. Every student is expected to create an original response to the open-ended DB question as well as engage in dialogue by responding to posts created by others throughout the week. At the end of each unit, DB participation will be assessed based on both level of engagement and the quality of the contribution to the discussion.At a minimum, each student will be expected to post an original and thoughtful response to the DB question and contribute to the weekly dialogue by responding to at least two other posts from students. The first contribution must be posted before midnight (Central Time) on Wednesday of each week. Two additional responses are required after Wednesday of each week. Students are highly encouraged to engage on the Discussion Board early and often, as that is the primary way the university tracks class attendance and participation.The purpose of the Discussion Board is to allow students to learn through sharing ideas and experiences as they relate to course content and the DB question. Because it is not possible to engage in two-way dialogue after a conversation has ended, no posts to the DB will be accepted after the end of each week.A grandmother is looking for a plan to finance her new grandchild’s college education. She has $50,000 to invest. Search the internet and locate a long-range investment plan, CD, Savings Bond, etc, for the grandmother. The plan is to earn compound interest. Calculate the future value of the investment. You must use the advertised interest rate, the number of compounding periods per year, and the time the funds will be invested. If you are not...

...MATH133 UNIT 2: Quadratic Equations
Individual Project Assignment: Version 2A
Show all of your work details for these calculations. Please review this Web site to see how to
type mathematics using the keyboard symbols.
Problem 1: Modeling Profit for a Business
IMPORTANT: See Question 3 below for special IP instructions. This is mandatory.
Remember that the standard form for the quadratic function equation is y = f (x) = ax2 + bx + c
and the vertex form is y = f (x) = a(x – h)2 + k, where (h, k) are the coordinates of the vertex of
this quadratic function’s graph.
You will use P(x) = −0.2x2 + bx – c where (−0.2x2 + bx) represents the business’ variable profit
and c is the business’s fixed costs.
So, P(x) is the store’s total annual profit (in $1,000) based on the number of items sold, x.
1. Choose a value between 100 and 200 for b. That value does not have to be a whole
number.
2. Think about and list what the fixed costs might represent for your fictitious business (be
creative). Start by choosing a fixed cost, c, between $5,000 and $10,000, according to the
first letter of your last name from the values listed in the following chart:
If your last name begins with the letter
Choose a fixed cost between
A–E
$5,000–$5,700
F–I
$5,800–$6,400
J–L
$6,500–$7,100
M–O
$7,200–$7,800
P–R
$7,800–$8,500
S–T
$8,600–$9,200
U–Z
$9,300–$10,000
Page 1 of 4
3. Important: By Wednesday night at midnight, submit a Word document with only
your name and your chosen...

...MATH133 Unit 3: Radicals and Rational Exponents
Discussion Board Assignment: Version 2A
Show all of your work details for these calculations. Please review this Web site to see how to type mathematics using the keyboard symbols. Body Mass Index
The United States is becoming more health-conscious, and as a result, the problem of obesity has gotten more attention. The body mass index (BMI) relates a person’s height and weight, and it is often used to determine if someone is overweight. The following table tells the weight status for a given BMI.
BMI Weight Status
Below 18.5 Underweight
18.5–24.9 Normal
24.9–29.9 Overweight
29.9 and above Obese
The BMI is calculated using the following formula:
703 × 𝑤
BMI =
ℎ2
where w is the weight in pounds and h is the height in inches.
Solving this formula for h, we see that h = sqrt[703w / BMI] or ℎ = 703BMI𝑤
Using the Internet, AIU’s library, or another research source, find the weight of your favorite celebrity. This could be a movie or television personality, athlete, or a politician. You may also use yourself.
I am using my own weight 200 lbs
Using the weight you found in Question 1, determine the height the celebrity (or yourself) would need to be to fall into each of the four weight status categories listed in the table. In other words, select a BMI less than 18.5 (any value), and find h. Then, repeat using a
new BMI in each range. Show all of your work for each of these...

...MATH133 Unit 5: Exponential and Logarithmic Functions
Individual Project Assignment: Version 2A
Show all of your work details for these calculations. Please review this Web site to see how to
type mathematics using the keyboard symbols.
IMPORTANT: See Question 1 in Problem 2 below for special IP instructions. This is
mandatory.
Problem 1: Photic Zone
Light entering water in a pond, lake, sea, or ocean will be absorbed or scattered by the particles
in the water and its intensity, I, will be attenuated by the depth of the water, x, in feet. Marine
life in these ponds, lakes, seas, and oceans depend on microscopic plant life that exists in the
photic zone. The photic zone is from the surface of the water down to a depth in that particular
body of water where only 1% of the surface light remains unabsorbed or not scattered. The
equation that models this light intensity is the following:
𝐼 = 𝐼0 𝑒 −𝑘𝑥
In this exponential function, I0 is the intensity of the light at the surface of the water, k is a
constant based on the absorbing or scattering materials in that body of water and is usually called
the coefficient of extinction, e is the natural number 𝑒 ≅ 2.718282, and I is the light intensity at
x feet below the surface of the water.
1. Choose a value of k between 0.025 and 0.095.
2. In a lake, the value of k has been determined to be the value that you chose above, which
means that 100k% of the surface light is absorbed for every foot of depth. For example, if...