Answer:
Luis wants to buy a skateboard that usually sells for $79.99
all merchandise is discounted by 12% = 0.12
Discount amount = sale price * discount percentage
= 79.99 * 0.12 = 9.5988
Selling price after discount = 79.99 - 9.5988 = 70.3912
Now we apply sales tax for the price after discount
sales tax of 6.75 % = 0.0675
Tax amount = price after discount * tax percentage
= 70.3912 * 0.0675= 4.751406
the total cost of the skateboard = Price after discount + tax amount
=70.3912 + 4.751406 = 75.142606
$75.14 is the total cost of the skateboard
Step-by-step explanation:
Answer:
x^2 y^2
Step-by-step explanation:
9x^2y^2/x^2y^2=9
5x^2y^2/x^2y^2=5
since 9 and 5 have no common factors except 1, x^2 y^2
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Answer:
x = 41.81°, 138.19°, 210°, 330°
Explanation:
3cos(2x) + sin(x) = 1
subtract one from both sides
→ 3cos(2x) + sin(x) − 1 = 0
rewrite using trigonometry identities
→ 2 + sin(x) − 6sin²(x) = 0
solve x by substitution
f(x) = 2 + sin(x) − 6sin²(x)
= 2 + 4sin(x) - 3sin(x) − 6sin²(x)
= −2sinx(3sinx −2) − (3sinx−2)
= (3sinx −2)(−2sinx−1)
= −(3sinx −2)(2sinx+1)
f(x) = 2 + sin(x) − 6sin²(x) = 0
= −(3sinx −2)(2sinx+1) = 0
(3sinx −2) = 0 (2sinx+1) = 0
→sinx = 2/3 →sinx = −1/2
x = 41.81°, 138.19° x = 210°, 330°
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Answer:
the one the has the points of (4,5) and (-1,1)
Step-by-step explanation: