Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $6750 and her stock in Company B was worth $4210. The stock in Company A has decreased 18% since last year and the stock in Company B has decreased 20%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Sagot :

gh8186

Answer:

3.5%

Step-by-step explanation:

1. calculate starting total

[tex]6750 + 4210=10960[/tex]

starting amount = $10,960

2. calculate stock    A2's value

  • decreased by 18%

to make the percentage usable in this equation we need to divide it by 100 to get it in decimal form. ⇒ [tex]\frac{18}{100} = 0.18[/tex]

  • multiply stock A1 by perctage decimal to get the amount decreased

[tex]6750(0.18)=1215[/tex] ($1,215)

  • subtract stock A1 by decreased amount to get stock A2's value

[tex]6750-1215=5535[/tex]

A2 = $5,535

3. calculate stock    B2's value

  • increased by 20%

to make the percentage usable in this equation we need to divide it by 100 to get it in decimal form. ⇒ [tex]\frac{20}{100} = 0.20[/tex]

  • multiply stock B1 by perctage decimal to get the amount increased

[tex]4210(0.20)=842[/tex] ($842)

  • add stock B1 with increased amount to get stock B2's value

[tex]4210+842=5052[/tex]

B2 = $5,052

4. get new amount of account

[tex]5052+5535=10587[/tex]

new amount = $10,587

5. find percentage decrease of starting amount to new amount

  • divide starting amount by the new amount

[tex]\frac{10960}{10587} = 1.03523188816[/tex]

  • then subtract by 1

[tex]1.03523188816-1 =0.03523188816[/tex]

  • multiply by 100 to convert to percentage form

[tex]0.03523188816(100) =3.523188816[/tex]

  • and round to nearest tenth

answer is ≈ 3.5%

::: (\_(\ Hope

*: (=' :') this

•.. (,('')('') helped :)

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.