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xeze [42]
3 years ago
13

Please help me with this two step math problem! THANK YOU !!!!!!!!

Mathematics
1 answer:
balandron [24]3 years ago
5 0
The job that would give you more is the one where you double the penny everyday. Although it seems small at first but slowly slowly you start making a lot more money.

To calculate how much you would make in 30 days by doubling the penny, you just double the amount every day until you get to 30:
$.01 - First day
$.02
$.04
$.08
$.16 - Fifth day
$.32
$.64
$1.28
<span>$2.56 - Ninth day
</span>....
<span>$5,368,709.12 - 30th day
</span>
If you add it all up, the sum you would get is <span>$10,737,418.23.

That is 11 times more than the first option! :)

Table:
Days      Money
</span>Day 1<span>     $.01</span>
Day 2<span>     $.02</span>
Day 3<span>     $.04</span>
Day 4<span>     $.08</span>
Day 5<span>     $.16</span>
Day 6<span>     $.32</span>
Day 7<span>     $.64</span>
Day 8 <span>    $1.28</span>
Day 9 <span>    $2.56</span>
Day 10   $5.12
Day 11<span>   $10.24</span>
Day 12<span>   $20.48</span>
Day 13<span>   $40.96</span>
Day 14<span>   $81.92</span>
Day 15<span>   $163.84</span>
Day 16<span>   $327.68</span>
Day 17<span>   $655.36</span>
Day 18<span>   $1,310.72</span>
Day 19<span>   $2,621.44</span>
Day 20<span>   $5,242.88</span>
Day 21<span>   $10,485.76</span>
Day 22<span>   $20,971.52</span>
Day 23<span>   $41,943.04</span>
Day 24<span>   $83,886.08</span>
Day 25<span>   $167,772.16</span>
Day 26<span>   $335,544.32</span>
Day 27<span>   $671,088.64</span>
Day 28<span>   $1,342,177.28</span>
Day 29<span>   $2,684,354.56</span>
Day 30<span>   $5,368,709.12
</span>
And as mentioned above, the total sum is $10,737,418.23

Number of periods would be is 30 days. Or 1 month.
And this is a good example of compund interest.
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y=-3/4x+3/2

it could also be written
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The electrician charges $50 per visit plus $12 per hour of work. Steve hires the electrician to do some work for his house. If S
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----

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The given line segment has a midpoint at (3, 1).
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Answer:

y=\frac{1}{3}x

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through (x_1,y_1)\ and\ (x_2,y_2) is:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}.

Therefore the line passing through (2, 4) and (4, -2) has an equation:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

m_1m_2=-1.

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}

Since it is the  perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is y=\frac{1}{3}x

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