Answer: 6.1% decrease
Note: It appears that your teacher doesn't want you to type in the percent sign, as that's already covered for you.
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Explanation:
The salary decreased by 51500-48355 = 3145
Divide this over the initial salary to get 3145/51500 = 0.0611 which is approximate.
This converts to the percentage 6.11% and that rounds to 6.1%
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As an alternative, you can use the formula method below
A = old value = 51500
B = new value = 48355
C = percent change when going from A to B
C = [ (B-A)/A ] * 100%
C = [ (48355-51500)/51500 ] * 100%
C = (-3145/51500)*100%
C = -0.0611*100%
C = -6.11%
C = -6.1%
The negative C value indicates a percent decrease.
Option A: The vessel has sailed 34 miles South
Explanation:
Given that the vessel sails 41 miles S 35° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,
Substituting 
, 
and 
Hence, we get,
Simplifying, we have,
Multiplying both sides by 41, we have,
Rounding off to the nearest integer, we have,
Thus, the vessel has sailed 34 miles South.
Therefore, Option B is the correct answer.
Answer: A translation and a reflection
Step-by-step explanation:
Let's say we have an equation like this 7x + 3. Let x = 4. Then we will do the following:
7(4) + 3 - Replace the x with 4
28 + 3
31 - simplify down
Answer: 37
Step-by-step explanation: a“2”+b“2”=c“2”
12“2”+35“2”=c“2”
24+1225=c“2”
1369=c“2”
sqrt 1369=c
c=37
