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Mars2501 [29]
3 years ago
13

Graph the equation 15x - 5y = 30.

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0

Answer:

y = 3x - 6 [graph with a <em>y-intercept</em> of (0, -6) and an <em>x-intercept</em> of (2, 0)]

Step-by-step explanation:

First off, you have to convert from <em>Standard Form</em> [Ax + By = C] to <em>Slope-Intercept Form</em> [y = mx + b].

  1. Move -15x to the right side of the equivalence symbol to get <em>-</em><em>5y</em><em> </em><em>=</em><em> </em><em>-</em><em>15x</em><em> </em><em>+</em><em> </em><em>30</em><em>.</em>
  2. Divide<em> </em>everything by -5 to isolate <em>y,</em><em> </em>leaving you with <em>y</em><em> </em><em>=</em><em> </em><em>3x</em><em> </em><em>-</em><em> </em><em>6</em><em>.</em>

Now, starting from your y-intercept, you go three blocks <em>north</em><em>,</em><em> </em>then go over one block <em>east</em><em> </em>every time from the previous endpoint. Your slope is 3.

m → Rate of change [Slope]

-y₁ + y₂\-x₁ + x₂ = m

I am joyous to assist you anytime.

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What is (-0.8)(-0.8)(-0.8)
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The answer would be -0.512
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How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       F=Pe^{(i)(t)}...............(1)

           Substitute the values in equation (1) to find the P value,

                                  15000=Pe^{(0.059)(12)}          ( ∵ i = \frac{5.9}{100}=0.059 )

                                  15000=Pe^{0.708}

                                  15000=P(2.0299)             ( ∵ e^{o.708} =2.0299 )

            We change the P (Present value) into the left side,

                                        P=\frac{15000}{2.0299}

                                            =7389.427

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

                       

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Answer: 15 feet

Step-by-step explanation:

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