Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% o
2 answers:
Answer:
Refrigerator’s original price = 1000 $
Step-by-step explanation:
Let the original price of refrigerator be r.
Store A advertises that the refrigerator is on sale for 15% off the original price.
Store B advertises that it is reducing the refrigerator’s price by $150.
Price of refrigerator in store B = r - 150
Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal
That is
0.85r = r - 150
0.15r = 150
r = 1000$
Refrigerator’s original price = 1000 $
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Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:
Now use the Pythagorean identity that says
and make the replacement:
. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
and then simplify to
Factor out the common cos(x) to get
and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at
The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are