Suppose you go shopping for a new futon bed for your room. the model you really like happens to be on sale for $1200. it's original price is $1400. what percent of the original price will you save if you purchase it?

If you purchase it, you will save 16.67% of the original price.

Step-by-step explanation:

Percentage problems can be solved as a simple rule of three problem:

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

A percentage problem is an example where the relationship between the measures is direct.

The problem states that the model you really like happens to be on sale for $1200 and it's original price is $1400. It means the you saved $1400-$1200 = $200. Thus, the problem wants to know how much $200 is of $1200. So, we have the following rule of three

$1200 - 100%

200 - x%

1200x = 200*100

x = 16.67%.

If you purchase it, you will save 16.67% of the original price.

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answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,