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Firdavs [7]
3 years ago
14

Your checking account has a balance of –$82. You deposit $59. How much more do you need to deposit to have a balance of $50? The

answer is 73 but..... explain how you got that answer in detail.
Mathematics
2 answers:
Mice21 [21]3 years ago
6 0
E importance of reconciling a bank<span> statement. ... Demonstrate the ability to </span>balance<span> a checkbook and ... She only </span>needs<span> $25, </span>but<span> ... Alexis </span>has<span> no idea how ... As a customer, </span>you should<span> be familiar with the fees at </span>your bank<span>. If </span>you<span> ... a safe place until </span>you get<span> home; then use it to record how</span>much you<span> removed from.</span>
Semmy [17]3 years ago
6 0
If you had -82 dollars in debt, then deposited 59, you would be at -23 dollars in debt. At this point, you want to be at 50 dollars positive. To do this you would need to balance the 23 dollars (by adding 23 dollars). After balancing you'd be at 0. Then deposit another 50 (so after the first deposit you'd have deposited 
50+23 dollars, this equals 73 dollars). So 73 dollars is how much you need to deposit after the initial 59. 
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If you try picturing the points in your head, you will see it make a U and at the bottom of the U is the vertex.

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2x + 4y = 15<br> 6x +12y = 45<br><br> What would the solution to the system of equations be?
Dimas [21]

Answer:

They both have an infinite number of solutions.

Step-by-step explanation:

Given system of equations:

a) 2x + 4y = 15

b) 6x + 12y = 45

Slope-intercept form: y = mx + b

<u>where:</u>

  • m is the slope
  • b is the y-intercept (when x = 0)

Rewrite <em>both</em> equations into slope-intercept form:

<em>a) 2x + 4y = 15 </em>

⇒ 2x + 4y = 15 [subtract 2x from both sides]

⇒ 2x - 2x + 4y = 15 - 2x

⇒ 4y = - 2x + 15 [divide both sides by 4]

⇒ 4y ÷ 4 = (-2x ÷ 4) + (15 ÷ 4)

\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75

<em>b) 6x + 12y = 45</em>

⇒ 6x + 12y = 45 [subtract 6x from both sides]

⇒ 6x - 6x + 12y = 45 - 6x

⇒ 12y = - 6x + 45 [divide both sides by 12]

⇒ 12y ÷ 12 = (-6x ÷ 12) + (45 ÷ 12)

\sf \implies y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75

New equations:

\sf a)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75\\\\\sf b)\ y = -\dfrac{1}{2}x\ + \dfrac{15}{4} \ or \ y=-0.5x\ + 3.75

Both equations have the same slope (-½), and y-intercept (3.75). Therefore, they both have an infinite number of solutions.

System of equations can have the following:

<u><em>No Solution:</em></u> the same slope (both lines will be parallel)

<u><em>One Solution:</em></u> different slopes and different y-intercepts

<u><em>Infinitely Many Solutions:</em></u> the same slope and y-intercept

Learn more about system of equations here:

brainly.com/question/19575460

brainly.com/question/12198631

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