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stich3 [128]
3 years ago
13

I need help on these two questions! I’ll give 20 points for it!

Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0

a) See below

b) y = 3x + 13

Step-by-step explanation:

a)

An example of story that is represented by the graph is the following:

Micheal is initially at a distance of 13 m from his house. Then, he walks at a speed of 3 meters per second away from the house, and after 5 seconds, he is at 28 m from the house.

Explanation:

In the graph, we have represented:

- Micheal's position along the y-axis

- The time along the x-axis

As we can see, when x = 0 (time = 0), Micheal's position is y = 13 m (here the origin refers to the position of the house). Then, the slope of the line is 3 m/s, which corresponds to Micheal's velocity (in a position-time graph, the slope is equal to the velocity).

b)

We want to find the equation that describes this graph.

The equation of a line can be written in the following form:

y=mx+q

where

m is the slope

q is the y-intercept

The y-intercept is the value of y when x = 0: from the table, we see that when x = 0, then y = 13, so this is the y-intercept:

q = 13

The slope can be found by taking 2 points along the line and calculating the ratio between the change in the y-value and the change in the x-value:

m=\frac{\Delta y}{\Delta x}

Choosing (0,13) and (5,28) for the 2 points, we find:

m=\frac{28-13}{5-0}=\frac{15}{5}=3

So the slope is 3. Therefore, the equation of the line is

y=3x+13

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makkiz [27]
The answer is c because, if u change 15% to a decimal (0.15) then u get 5,250 and when u add that to 35,000 you get 40,250
3 0
3 years ago
Is the number there three? if you answer to me i will give you twenty Points.
juin [17]

Answer:

2

Step-by-step explanation:

3 x 2 = 6

1 x 2 = 2

hope it helps

sorry if I'm wrong

7 0
1 year ago
An angle bisector has been created. Solve for x.
poizon [28]
I hope this helps you

4 0
3 years ago
A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th
irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: FV=P(1+r)^n

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: r=\frac{0.09}{2}=0.045

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

FV=1540(1+0.045)^{12}

FV=1540(1.045)^{12}

FV=1540(1.69588)

FV=2611.6552

Hence, the future value of this initial investment after the six year period is $2611.6552

6 0
3 years ago
Write the multiple of the first even number from 11 to 20​
andrew-mc [135]

Answer:

Multiples [10] - 10, 20, 30, 40, 50

Multiples [11] - 11, 22, 33, 44, and 55

<u><em>Find the Even numbers of these multiples</em></u>

Multiples [10]

  • - 10 = Even
  • - 20 = Even
  • - 30 = Not Even
  • - 40 = Even
  • - 50 = Not Even

  1. <u><em>10 × 1 = 10</em></u>
  2. <u><em>10 × 2 = 20</em></u>
  3. <u><em>10 × 3 = 30</em></u>
  4. <u><em>10 × 4 = 40</em></u>
  5. <u><em>10 × 5 = 50</em></u>

Multiples [11]

  • - 11 = Not Even
  • - 22 = Even
  • - 33 = Not Even
  • - 44 = Even
  • - 55 =  Not Even

  1. <u><em>    11 × 1 = 11</em></u>
  2. <u><em>    11 × 2 = 22</em></u>
  3. <u><em>    11 × 3 = 33</em></u>
  4. <u><em>    11 × 4 = 44</em></u>
  5. <u><em>    11 × 5 = 55</em></u>
  6. <u><em>    11 × 6 = 66</em></u>
  7. <u><em>    11 × 7 = 77</em></u>
  8. <u><em>    11 × 8 = 88</em></u>
  9. <u><em>    11 × 9 = 99</em></u>

Step-by-step explanation:

.... I messed up, sorry. I thought that 20 said 11

8 0
2 years ago
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