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Charra [1.4K]
3 years ago
12

Store pays $56 for a GPS navigation system the markup is 25% what price will the store sell it for

Mathematics
1 answer:
mafiozo [28]3 years ago
7 0

\text{We need to find how much the store will sell a GPS navigation system}\\\\\text{We know that the store paid \$56 for it}\\\\\text{We also know that they will mark up the price by 25\%}\\\\\text{We can find 25\% of 56}\\\\56\cdot0.25=14\\\\\text{We can now add that to the original price to get the price the store}\\\text{will sell it for}\\\\56+14=70\\\\\boxed{\$70}

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The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y

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y²+14y-1800=0

Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:

y₁=(-14-86)/2=-50     ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36    ⇒x=14+y=14+36=50

Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36
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4 years ago
What is 30:12 simplified
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Given: △FKL, FK= a<br> m∠F=45°, m∠L=30°<br> Find: FL
mr Goodwill [35]

The sum of angles of a triangle is 180°, so m∠K = 180° -45° -30° = 105°.

The Law of Sines tells you

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Solving for FL, we get

... FL = FK·sin(∠K)/sin(∠L)

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... FL = 2a·sin(105°) ≈ 1.93185a

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3 years ago
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