All Questions
Tagged with applications algebra-precalculus
44
questions
5
votes
7
answers
78k
views
Application of Composition of Functions: Real world examples?
Do you know of a real world example where you'd combine two functions into a composite function? I see this topic in Algebra 2 textbooks, but rarely see actual applications of it. It's usually plug ...
- 4,771
4
votes
2
answers
28k
views
Compound interest formula and continuously compounded interest formula derivation
My textbook gives the formula for compound interest as:
$A\left( t\right) =P\left( 1+\dfrac {r}{n}\right) ^{nt}$
Where:
P = The principal, r=the annual rate of interest, n= the frequency of ...
- 7,187
1
vote
1
answer
120
views
Adjust Saturation in CIE L*a*b* space.
Given a color in CIE L*a*b* space, how does one change the saturation? This is what I know...
$$\mathrm{chroma} = \sqrt {(a^*)^2 + (b^*)^2}$$
$$\mathrm{hue} = \arctan \left( a^* \over b^* \right)$$
$$...
- 113
0
votes
1
answer
29
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Evaluate a Variable Defined in Terms of its Function
I have a variable x which is defined as follows:
x = 150 / (7 + f(x)) where f(x) = 0.005 * x if x > 200, or 100 otherwise.
This is actually a simplified version of a real world problem.
How do I ...
- 201
5
votes
3
answers
410
views
Golden ratio rectangles
I'm designing a layout and I would like to use four golden ratio rectangles. The total width of the layout is 960px. How do I find the height (x)? Below is a diagram of the layout.
27
votes
9
answers
148k
views
What is a simple example of a limit in the real world?
This morning, I read Wikipedia's informal definition of a limit:
Informally, a function f assigns an output $f(x)$ to every input $x$. The
function has a limit $L$ at an input $p$ if $f(x)$ is "...
- 3,426
0
votes
3
answers
348
views
A fund of $30,000 is used to award scholarships....If i=0.09, find the number of scholarships which can be awarded
A fund of $30,000 is used to award scholarships of amount 3000, one per year, at the end of each year for as long as possible. If i=0.09, find the number of scholarships which can be awarded and the ...
- 19
2
votes
2
answers
2k
views
Determine the effective annual interest rate on the loan
A borrower owes \$5000 today and has promised to pay \$1900 at the end of the next three years to repay the loan. Determine the effective annual interest rate on the loan. What is the outstanding ...
- 127
3
votes
3
answers
190
views
Real-world examples of the quadratic equation
Does a quadratic equation like $x^2 - ax + y = 0$ describe anything in the real world? (I want to know, if there is something in the same way that $x^2$ is describing a square.)
- 49
1
vote
1
answer
75
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Would they have enough for the car?
Gina Wilson and Taylor Baker are roommates employed at Walmart while attending college. Their goal is to buy a car for $\$15,000$ in cash at the end of the year. For that reason, they have put ...
- 25
6
votes
2
answers
15k
views
What are functions used for?
When I say functions, I don't mean the trigonometric functions like $\sin$, $\cos$, and $\tan$, I mean defined functions like $f(x) = 2x + 4$. Why is $f(x)$ used and why isn't a single variable ...
- 4,287
2
votes
3
answers
162
views
How to derive the share of a prize given scores
I am curious to find out reasonable ways of dividing a prize among $n$ people in the following situation:
To make the example specific, we have $6$ people in total who are going to share a prize of $...
- 121
73
votes
17
answers
174k
views
What is a real world application of polynomial factoring?
The wife and I are sitting here on a Saturday night doing some algebra homework. We're factoring polynomials and had the same thought at the same time: when will we use this?
I feel a bit silly ...
- 871
8
votes
4
answers
251
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Both solutions to a quadratic make sense -- looking for applications
I'm looking for reasonably real, non-abstract applications modeled by quadratic equations where both solutions make sense. I'd like them to be accessible to high school algebra students.
One I come ...