100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
DSC1520 Assignment 1 Semester 1 2022 Solutions (TO BE USED AS A GUIDELINE ONLY) R50,00
Add to cart
Quickly navigate to
Preview
  2.  
  3. University Of South Africa (Unisa)
  4.  
  5. DSC1520 - Quantitative Modelling I (DSC1520)

Other

DSC1520 Assignment 1 Semester 1 2022 Solutions (TO BE USED AS A GUIDELINE ONLY)
 11 views  0 purchase

This document includes the assignment questions, answers and workings.

Preview 3 out of 18  pages

Document information

  • March 17, 2022
  • 18
  • 2021/2022
  • Other
  • Unknown

Subjects

Written for

All documents for this subject (197)

Seller

avatar-seller
aj107

Reviews received

Content preview

Quantitative Modelling 1
DSC1520
Department of Decision Sciences
Assignment 01 for Semester 01 (compulsory)
Unique Number: N/A
Due Date:
Terms of use:
• To be used ONLY for comparison purposes (As a guideline)
• Do not duplicate or distribute without written consent from the author. (That includes
distribution on WhatsApp/Telegram etc.



Question 1
𝑡+𝑎
Rewriting the equation 𝑉 = , with 𝑡 in terms of 𝑉 , gives
𝑡−𝑎
𝑉+1
1. 𝑡 =
𝑉−1
𝑎
2. 𝑡 =
𝑉−1
𝑎(𝑉+1)
3. 𝑡 =
𝑉−1
𝑎(𝑉−1)
4. 𝑡 =
𝑉+1
Answer:

𝑡+𝑎
𝑉=
𝑡−𝑎
𝑡+𝑎
Rewrite the equation as =𝑉
𝑡−𝑎
Find the LCD of the terms in the equation. Finding the LCD of a list of values is the same as
finding the LCM of the denominators of those values.

𝑡 − 𝑎, 1

,Remove parentheses.
𝑡 − 𝑎, 1
The LCM of one and any expression is the expression.
𝑡−𝑎
𝑡+𝑎
Multiply each term in = 𝑉 by 𝑡 − 𝑎 to eliminate the fractions.
𝑡−𝑎
𝑡+𝑎
(𝑡 − 𝑎) = 𝑉(𝑡 − 𝑎)
𝑡−𝑎
Simplify the left side.

Cancel the common factor of 𝑡 − 𝑎.



Rewrite the expression.

𝑡 + 𝑎 = 𝑉 (𝑡 − 𝑎)
Simplify the right side.
Apply the distributive property.

𝑡 + 𝑎 = 𝑉𝑡 + 𝑉(−𝑎)
Rewrite using the commutative property of multiplication.

𝑡 + 𝑎 = 𝑉𝑡 − 𝑉𝑎
Solve the equation.

Subtract 𝑉𝑡 from both sides of the equation.

𝑡 + 𝑎 − 𝑉𝑡 = −𝑉𝑎
Subtract 𝑎 from both sides of the equation.

𝑡 − 𝑉𝑡 = −𝑉𝑎 − 𝑎
Factor 𝑡 out of 𝑡 − 𝑉𝑡.
Factor 𝑡 out of 𝑡 1 .

𝑡 × 1 − 𝑉𝑡 = −𝑉𝑎 − 𝑎

, Factor 𝑡 out of −𝑉𝑡 .

𝑡 × 1 + 𝑡(−𝑉) = −𝑉𝑎 − 𝑎
Factor 𝑡 out of 𝑡 × 1 + 𝑡(−𝑉).
𝑡(1 − 𝑉) = −𝑉𝑎 − 𝑎
Divide each term in 𝑡(1 − 𝑉) = −𝑉𝑎 − 𝑎 by 1 − 𝑉 and simplify.
𝑡(1 − 𝑉) −𝑉𝑎 −𝑎
= +
1−𝑉 1−𝑉 1−𝑉
Simplify the left side.

Cancel the common factor of 1 − 𝑉.




Divide 𝑡 by 1.

−𝑉𝑎 −𝑎
𝑡= +
1−𝑉 1−𝑉
Simplify the right side.
Combine the numerators over the common denominator.

−𝑉𝑎 − 𝑎
𝑡=
1−𝑉
Factor 𝑎 out of −𝑉𝑎 − 𝑎.
Factor 𝑎 out of −𝑉𝑎.

𝑎(−𝑉) − 𝑎
𝑡=
1−𝑉
Factor 𝑎 out of −𝑎.

𝑎(−𝑉 ) + 𝑎 × −1
𝑡=
1−𝑉

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying this summary from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller aj107. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy this summary for R50,00. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

53068 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy summaries for 14 years now

Start selling
R50,00
  • (0)
Add to cart
Added