Answer:
The single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.
Step-by-step explanation:
Let 'x' be the number
As first the number has to be increased by 18%
so
Step 1: write the percentage '18%' in decimal form
18% = 0.18
Step 2: For percentage increases: add the decimal to 1
1 + 0.18 = 1.18
Step 3: Multiply the number x by the multiplier, found in Step 2
x × 1.18 = 1.18x
<u><em>NEXT WE HAVE TO DECREASE 1.18x by 12%</em></u>
Apply the same method but with a number 1.18x
- Write the percentage '12%' in decimal form
12% = 0.12
- For percentage decreases: subtract the decimal to 1
1 - 0.18 = 0.18
- Multiply the number 1.18x by the multiplier, found in Previous step
1.18x × 0.18 = 0.21x
Therefore, the single decimal multiplier used to increase by 18% followed by a 12% decrease is 0.21.
Answer: Option #4: the 0.2 could be changed to 2.
Explanation:
The table is designed to make the concept of percentages more understandable. The table first allocates the total amount of 70 in terms of its "fifths," or 20% parts. Then it expresses these parts in the last row of the table, showing that 20% of 70 is 14 and all the five parts sum up to 70 again.
Now, Mikel is supposed to express 40% of the amount. So she writes (incorrectly): 0.2 * 14. This statement needs to be changed to 2 * 14 (two times 14 = 28), to correspond to 2 times 20%, or 40% of 70.
This is reflected in the last (fourth) option "The 0.2 in the expression could be changed to 2."
Option #3 is incorrect because changing 14 to 70, will result in an incorrect number (2.8).
Options 1 and 2 are similarly incorrect (as can be easily verified)
I think the correct answer from the choices listed above is option C. <span>Two lines are perpendicular, and neither line is horizontal so it must be that the slopes of the lines are opposite reciprocals, one slope is positive and the other has a negative slope. Having different slopes so they should intersect the y-axis at different values.</span>
Answer:
A and C
Step-by-step explanation:
I just answered the question.
