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Neko [114]
3 years ago
11

How to graph 9x+15y=45

Mathematics
1 answer:
leonid [27]3 years ago
3 0
First you should rearrange to get it in the form y = mx + c, and you do this by subtracting the 9x from both sides and dividing by 15, which gives you:
y = (-9/15)x + 3

Now you know the y-intercept is 3, so you can mark that on as a point.
Then, to graph the gradient of -9/15, you go along 15 spaces to the right and 9 spaces down, or 15 to the left and 9 spaces up, and you repeat this until you run out of room. Then you just join the dots

I hope this helps! Let me know if you have any questions :)
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Answer:

$9891.23


Step-by-step explanation:

The formula for future value of annuity due is:

FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)

Where,

  • FV is the future value of the annuity (what we need to find)
  • P is the periodic payment (here it is $400)
  • r is the interest rate per period (here 13% yearly interest is actually \frac{13}{4}=3.25 percent per period(quarter))
  • n is the number of periods (here the annuity is for 4\frac{1}{2} years, which is 4\frac{1}{2}*4=18 periods, since quarterly and there are 4 quarters in 1 year)

Substituting all those values in the equation we get:

FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23

Hence, the future value of the annuity due is $9891.23

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Stolb23 [73]

Step-by-step explanation:

So in the equation given, y = 2x - 3

you substitute x for whats given in the table in the x column.

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In the graph the first number under the x colum is -1.

y = 2x - 3 in the equation you take out x and put -1.

So now the equation becomes y = 2 × -1 - 3.

Using bedmas to solve the question you should get -5

Which now means y = -5

To plot the point now x would be -1 and y would be -5 (-1, -5)

Same thing for the second number in the x Column.

y = 2 × 1 - 3 which equals -1

To plot it

x = 1 y = -1. (1, -1)

And for the last number 3.

Agai. You substitute x for 3 which makes the equation y = 2 × 3 - 3

this gives you 3 and to plot it

x would be 3 and y would be 3

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eduard

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