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Phoenix [80]
3 years ago
5

The bureau of labor statistics reported the consumer price index as 211.4 in december 2007, and 231.1 in december 2012. by what

percentage did the index increase from the end of 2007 to the end of 2012 (rounded to one decimal place)?
a. 0.093%
b. 9.0%
c. 9.3%
d. 19.7%
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

The first step to determine the percentage of increase is to compute for the difference of consumer price index in value.

231.11 (consumer price index for 2012) – 211.4 (consumer price index for 2007) = 19.71 (increase)

To compute for the percentage of increase, you need to compare the increase to the consumer price index for 2007.

19.71/211.4 = 9.3% increase

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The median weight for a 5 foot tall male to enlist in the US Army is 114.5 lbs. This weight can vary by 17.5 lbs. Write and solv
myrzilka [38]

An absolute value inequality that represents the weight of a 5-foot male who would not meet the minimum or maximum weight requirement allowed to enlist in the Army is 97 lbs < x < 132 lbs.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The median weight for a 5 foot tall male to enlist in the US Army is 114.5 lbs. This weight can vary by 17.5 lbs. Therefore, the inequality can be written as,

(114.5 - 17.5) lbs < x < (114.5 + 17.5) lbs

97 lbs < x < 132 lbs

Hence, an absolute value inequality that represents the weight of a 5-foot male who would not meet the minimum or maximum weight requirement allowed to enlist in the Army is 97 lbs < x < 132 lbs.

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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y
Gekata [30.6K]

Answer:

y=\displaystyle-\frac{4}{3}x+22

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept
  • Parallel lines always have the same slope (<em>m</em>)

<u>Determine the slope (</u><em><u>m</u></em><u>):</u>

<u />y=\displaystyle-\frac{4}{3}x -1<u />

The slope of the given line is \displaystyle-\frac{4}{3}, since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be \displaystyle-\frac{4}{3}. Plug this into y=mx+b:

y=\displaystyle-\frac{4}{3}x+b

<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>

y=\displaystyle-\frac{4}{3}x+b

To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:

14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22

Therefore, the y-intercept of the line is 22. Plug this back into y=\displaystyle-\frac{4}{3}x+b:

y=\displaystyle-\frac{4}{3}x+22

I hope this helps!

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