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timurjin [86]
3 years ago
4

According to data from the U.S. Census Bureau, in 2010 21,495 workers in Wake County had a daily commute between 45 and 59 minut

es. By 2016 the number of workers with this long of a commute had increased by 82%. How many Wake County workers had a 45-59 minute commute in 2016?
Mathematics
1 answer:
nirvana33 [79]3 years ago
6 0
<h3>Answer: about 39,121 workers</h3>

=======================================================

Explanation:

Ignore the "45" and "59" as they aren't used in this problem. The year numbers don't matter either.  These numbers are either thrown in as filler or distraction.

We're basically being asked "we started with 21,495 and increased by 82%, what is the new value?"

Take 82% of this to get 0.82*21495 = 17,625.9 which rounds to 17,626 since it doesn't make sense to have a decimal or fractional portion of a person. So the number of workers has increased by about 17,626 people.

Add this to the original amount to get 21,495 + 17,626 = 39,121 which is the answer

--------------

As a shortcut, you could multiply 21495 by 1.82 to indicate an 82% increase

1.82*21495 = 39,120.9 which rounds to 39,121

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ira [324]

Answer:

(-3, 1) quadrant II (2)

Step-by-step explanation:

An image of the coordinate plane is show.  The quadrants start at the top right and move around in the counter-clockwise direction.  The x-axis is horizontal (side to side) and y-axis is vertical (up and down).  Starting at the origin of the coordinate plane (0, 0) and going three blocks west (left) would put you at -3 on the x-axis.  If you then proceed to go north (up) +1, you would now be at point (-3, 1) which is a (-x, +y)  or in quadrant II.  

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4 years ago
.−3(4x + 3) + 4(6x + 1) = 43<br> What is the solution?
maks197457 [2]

Answer:

  x = 4

Step-by-step explanation:

After you simplify the left side by eliminating parentheses and collecting terms, you have a 2-step linear equation.

  -3(4x +3) +4(6x +1) = 43 . . . . . . given

  -12x -9 +24x +4 = 43 . . . . . eliminate parentheses

  12x-5 = 43 . . . . . . . . . . . collect terms (now a 2-step equation)

  12x = 48 . . . . . . . . . . step 1, add the opposite of the unwanted constant

  x = 4 . . . . . . . . . . . step 2, divide by the coefficient of x

The solution is x = 4.

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<em>Check</em>

  -3(4·4 +3) +4(6·4 +1) = 43 . . . . substitute for x

  -3(16 +3) +4(24 +1) = 43

  -3(19) +4(25) = 43

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6 0
3 years ago
a student used his place value chart to show a number after the teacher instructed him to divide his number by 100 the chart sho
Anna35 [415]
<span>A student divided the given number by 100 that resulted to 28.003 in his chart. So what we are looking for this situation is the value of the number before it was divided by 100.
To get the value, simply multiply the result by 100
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</span>



8 0
4 years ago
Michelle's father deposited $1,000 into a savings account when she was born. The annual interest rate is
Zarrin [17]

Answer:

0. $1,000  1. $1,045  2. $1,092.03  3. $1,141.17  4. $1,192.52. 5. $1,246.18     6. $1,302.26  7. $1,360.86  8. $1,422.10

Step-by-step explanation:

First you start with the beginning balance of $1,000 dollars, then you multiply that by 1.045 to get $1,045 dollars after one year. Then you multiply $1,045 by 1.045 to get $1,092.025 (monetarily correct, it would be $1,092.03) after the second year. Then you multiply $1,092.025 (keeping it un-rounded for precision) by 1.045 to get $1,141.16612 after the third year. Then you multiply $1141.16612 by 1.045 to get $1,192.5186 after the fourth year. Multiply $1,192.5186 by 1.045 to get $1,246.18193 after the fifth year. Multiply $1,246.18193 by 1.045 to get $1,302.26012 after the sixth year. Multiply $1,302.26012 by 1.045 to get $1,360.86182 after the seventh year. Multiply $1,360.86182 by 1.045 to get $1,422.10061 after the eighth year. Basically, Michelle is going to be a trust fund baby by the time she's twenty and she won't have to worry about college if she works hard and does well in high school.

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Step-by-step explanation:

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