Answer:
<u>$239.68</u>
Step-by-step explanation:
<u>Given</u>
- Cost = $224
- Sales Tax = 7%
<u>Solving</u>
- Cost w/ Tax = Cost (1 + Tax)
- Cost w/ Tax = 224 (1 + 0.07)
- Cost w/ Tax = 224 * 1.07
- Cost w/ Tax = <u>$239.68</u>
Answer:
True
Step-by-step explanation:
In order for a relation (a set of ordered pairs) to be considered a <em>function</em>, every value in the <em>domain</em> (the set of all the first numbers in the pair) is associated with one value in the <em>range</em> (the set of all second numbers in the pair). This is easiest to see visually. Our domain is the set {2, 3, 4, 5} and our range is the set {4, 6, 8, 10}, and we can visualize the ordered pair (2, 4) as an "arrow" starting a 2 in the domain and ending at 4 in the range. When seen this way, a relation is a function if <em>every value in the domain only has one arrow coming out of it</em>. We can see from the attached picture that the ordered pairs in the problem are a function, so this statement is true.
Answer: 3x - 9
Step-by-step-explanation: To solve the expression (8x – 2) – (5х – 7) we will be using properties of operations. First, use the commutative and associative properties to move the values next to each other to combine like terms.
(8x – 2) – (5х – 7)
(8x-5x)+(-2-7)
3x-9
So, the subtracted answer is 3x - 9
8. Answer: (C) 101.3
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
28.2² = 16.9² + 19.5² - 2(16.9)(19.5)·cos C
795.24 = 285.61 + 380.25 - 659.1 cos C
795.24 = 665.76 - 659.1 cos C
129.38 = - 659.1 cos C
-0.196 = cos C
cos⁻¹ (-0.196) = cos⁻¹ (cos C)
101.3 = C
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10. Answer: (A) 27.9
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
c² = 25² + 18² - 2(25)(18)·cos 79
c² = 625 + 324 - 900 cos 79
c² = 949 - 171.7
c² = 777.3
√c² = √777.3
c = 27.9
Answer:
110.8% increase
Step-by-step explanation:
First, find the change by doing 363,844,490 - 172,602,624 = 191,241,866
Then, do 191,241,866 divided by 172,602,624 = 1.107989332
Finally, move two points to the right and round: 110.8