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3 years ago

Can you please help me? This is due soon

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

5 0

Answer:

Michelle.

Step-by-step explanation:

D'Andre's Bank Account:

Remember to find the line, you need to use the formula y=mx+b. The m stands for slope while the b is the y-intercept. For D'Andre's y-intercept we can see that it's 0 and the slope is 2 (you can find it by doing rise/run). His equation is y = 2x.

To find how long it'll take him to get to $500, plug 500 into y: 500 = 2x

Divide by 2 on both sides: 250 = x

It'll take D'Andre 250 months to reach $500.

Fiona's Bank Account:

Unlike D'Andre's graph, she already has the equation, except that it isn't in the easiest form. To get it back to what it was, add 12x to the other side of the equation:

y - 12x = 100**

+ 12x = +12x

y = 12x + 100

**Just in case you didn't know, the 100 just means that's how much money she had started out with.

Plug in 500 for y: 500 = 12x +100

Subtract 100 from both sides: 400 = 12x

Divide by 12 to get x alone: 100/3 = x

It'll take Fiona about 33 months to reach $500.

Sam's Bank Account:

Sam has a table for his account, so we need to subtract some of the y coordinates to find his slope. Using 60 and 45 difference, we get 15. Looking at the table I can tell that is the slope because 15 is continually being added. To find his y - intercept, we need to look when his x coordinates was a 0. Therefore, his y-intercept is 60. His equation is y = 15x + 60

Plug in 500 for y: 500 = 15x + 60

Subtract 60 from both sides: 440 = 15x

Divide by 15 to get x by itself: 88/3 = x

It'll take Sam about 29 months to reach $500.

Michelle's Bank Account:

Last we have Michelle. Since she started with 25 dollars, that'll be her y-intercept. It also says that she is depositing 25 dollars per month, meaning 25 is her slope. Her equation should look like y = 25x + 25.

Plug in 500 for y: 500 = 25x + 25

Subtract 25 from both sides: 475 = 25x

Divide 25 from both sides to get x isolated: x = 19

It'll take Michelle 19 months to get $500.

So, in the end, Michelle will reach $500 dollars first.

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The weight of a bull clad is 388 kilograms. If it’s weight increases at a rate of 1 2/5 kilograms per day how long it will take

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It will take 80 days for the bull calf to reach a weight of 500 kilograms.

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The weight of a bull calf is 388 kilograms.

Now, to find the weight of bull calf of how long it will take to reach a weight of 500 kilograms, if it’s weight increases at a rate of 1 2/5 kilograms per day.

Required weight which to be increased = 500 - 388 = 112 kilograms.

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3 years ago

Find out if the 3 positions are on the same line or not (3,2,0) (1, -1,2) (5,5, 2)

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Answer:

The three positions are not on the same line.

Step-by-step explanation:

We have three points: A:(3,2,0), B:(1,-1,2) and C:(5,5,2).

Let's build a vector that goes from one point to another; that vector will be the director of a line (if we draw a vector that goes from A to B, that vector will be the direction of the line that pass by A and B because it does not change). In order to build that vector, let's subtract B from A:

$A-B=(3,2,0)-(1,-1,2)=(2,3,-2)$

The equation of a line is:

$p=p_0+rt$

Where p is every singular point of the line, $p_0$ is a particular point of the line (any that we are sure that it is on the line), r is the director vector and t is the independent variable.

Now we have the director vector: (2,3,-2), and we can verify that A and B are on the line:

$p=p_0+(2,3,-2)t$

Because there is a value for t that satisfies both A and B: If we do $p_0=(3,2,0)$ and t=0, we are going to obtain the point p=A; and if we do t=-1, we are going to obtain p=B. Let's see that:

$p=(3,2,0)+(2,3,-2)*0=(3,2,0)\\p=A\\p=(3,2,0)+(2,3,-2)*-1=(1,-1,2)\\p=B\\$

If C is also in the same line, C must accomplish the equation: $p=(3,2,0)+(2,3,-2)t$ , so:

$C=(5,5,2)=(3,2,0)+(2,3,-2)t$

Let's simplify the equation writing the parametric equation, which is just to write the equation for each dimension:

$5=3+2t\\5=2-3t\\2=-2t\\$

You can verify that there is not a value of t that satisfies all three equations, so, the point C is not on the same line as A and B; which means that A, B and C are not on the same line.

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