Essay Available:
page:
2 pages/≈550 words
Sources:
0
Style:
APA
Subject:
Mathematics & Economics
Type:
Coursework
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 10.37
Topic:
Financial Polynomials
Coursework Instructions:
Solve problem:P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P=$200 and r=10%.
Be sure that you show all steps of the squaring of the binomial and multiplication along with any simplification which might be required.
Evaluate the polynomial resulting from step 1 using:
P = $200 and r = 10%, and also with
P = $5670 and r = 3.5%
Colmplete problem:(-9x^3+3x^2-15x)divided by (-3x). Show all steps of the division.
Write a two page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the body of your essay, please make sure to include:
Your solution to the above problems, making sure to include all mathematical work and a discussion of how and why this is applicable to your everyday life.
Plan the logic necessary to complete the problem before you begin writing.
Use the underline feature with single spacing to set up the division(s), and use the “strikethrough” font to show the canceling factors. Can you think of another way this division could be approached and worked out? If yes, briefly describe the method.
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
FOIL
Like terms
Descending order
Dividend
Divisor
Coursework Sample Content Preview:
Solve problem: P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semi-annually, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses.
"P" is represented as the value of invested money
"r" is represented as the interest rate offered for this investment
"A" represents the amount of money that is due for this investment
P(1+r/2)2 represents the value of the investment after 1 year or simply the "A"
We are required to rewrite the equation P(1+r/2)2 thus we get:
A= P(1+r/2)2
= P(1+r/2)*( 1+r/2) * We show that the parenthesized equation is squared to remove the square
= P(1+r2+r) *This is the result when we multiply 1+ r with 1+ r
4 2 2
=P+Pr+Pr2 *This is now the resulting equation as we have multiplied the "P" to both
4 elements inside the parenthesis.
Now, for the evaluation:
Evaluate the polynomial resulting from step 1 using:P = $200 and r = 10%, and also withP = $5670 and r = 3.5%
Evaluate the polynomial if P=$200 and r=10%.A= P+Pr+Pr2 4
*First, we substitute the representations with their given values
A= $200+$200*0.10+$200*0.102
4
A=$200+$200*0.10+$200*0.0100 *Notice that we have now squared the value of 0.10
4
A=$200+$20+$0.5 *We have now simplified the second and the third terms.
-32385-3810000A= $220.5 *We now have the solved value for A.
P = $5670 and r = 3.5%
A= P+Pr+Pr2 4
A=$5670+$5670*0.035+$5670*0.0352
4
A=$5670+$5670*0.035+$5670*0.001225 *Notice that we have now squared the value of 0.035
4
A=$5670+$198.45+$1.7364375 *We have now simplified the second and third terms.
-7429521018500
A=$5870.1864375 *We now have the solved value for A
3792220239395*Divide -9x3, the first term of the dividend by -3x, multiply their quotient with the divisor and subtract their product from -9x3, and bring down the second term, which is 3x2.*Divide 3x2, the second term of the dividend by -3x, multiply their quotient with the divisor and subtract their product from 3x2, and bring down the thir...
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