Find detailed and accurate answers to your questions on IDNLearn.com. Get accurate answers to your questions from our community of experts who are always ready to provide timely and relevant solutions.

A musical instrument depreciates by 20% of its
value each year. What is the value, after 2
years, of a piano purchased new for $1200?


Sagot :

The answer is:
768
As:
1200/5=20%=240
1200-240=960 (after 1 year)
960/5=20%=192
960-192=768 (after 2 years)

Answer:

$768 is the value of the piano after 2 years.

Step-by-step explanation:

First you need to find 20% of 1,200. To do so you would need to set up a proportion.

[tex]\frac{20}{100}[/tex] = [tex]\frac{x}{1200}[/tex]  20 x 1,200 = 24,000/100 = 240

Now, subtract that amount from the original 1,200 to get the amount after one year.

1,200 - 240 = 960.

Next, you need to find 20% of 960 again setting up a proportion.

[tex]\frac{20}{100}[/tex] = [tex]\frac{x}{960}[/tex] 20 x 960 = 19,200/100 = 192

Finally, subtracting this amount from it's new value.

960 - 192 = 768