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sesenic [268]
3 years ago
15

Please help me! Will give brainlst :)

Mathematics
2 answers:
4vir4ik [10]3 years ago
8 0

Answer:

y = 1/2

x = -3/2

Step-by-step explanation:

y = 3x+5

Substance instances of y in the equation.

x + 3x +5 = -1

4x=-6

x= -6/4

y = 1/2

kotegsom [21]3 years ago
3 0
3x-5 is the answeeeerrrrr
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The awnser is 16 times 2

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A promissory note for $3600.00 dated May 15, 2012, requires an interest payment of $370.00 at maturity. If interest is at 9.6% c
vladimir1956 [14]

The due date of the promissory note is May 24th 2013.

Data;

  • Present Value (PV) = $3600
  • Interest = $370
  • Future Value (FV) = PV + I = $3600 + $370 = $3970

<h3>Due Date of the Note</h3>

To calculate the due date of the note, we can use the formula of future value of the note.

FV = PV (1 + \frac{r}{n})^d\\ 3970 = 3600 (1 + \frac{9.6}{12})^d\\3970 = 3600(1+0.008)^d\\\frac{3970}{3600} =(1.008)^n

Let's take the natural log of both sides

(1.008)^n = (\frac{3970}{3600})\\ n\ln(1.008) = \ln(\frac{397}{360})\\ n = 12.28

This is approximately 12 months and 9 days.

The due date of the promissory note is May 24th 2013.

Learn more on promissory note here;

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7 0
2 years ago
(06.01)The probability that an event will occur is 95%. Which of these best describes the likelihood of the event occurring? Lik
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Answer:

Likely

Step-by-step explanation:

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3 years ago
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Mars2501 [29]
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Then, 

\int dv= -kv^2\int dt \\  \\ \Rightarrow v(t)=-kv^2t+c

For v(0)=v_0, then

v(0)=-kv^2(0)+c=v_0 \\  \\ \Rightarrow c=v_0

Thus, v(t)=-kv(t)^2t+v_0

For v(t)= \frac{1}{2} v_0, we have

\frac{1}{2} v_0=-k\left( \frac{1}{2} v_0\right)^2t+v_0 \\  \\ \Rightarrow \frac{1}{4} kv_0^2t=v_0- \frac{1}{2} v_0= \frac{1}{2} v_0 \\  \\ \Rightarrow kv_0t=2 \\  \\ \Rightarrow t= \frac{2}{kv_0}


Part B

Recall that from part A, 

v(t)= \frac{dx}{dt} =-kv^2t+v_0 \\  \\ \Rightarrow dx=-kv^2tdt+v_0dt \\  \\ \Rightarrow\int dx=-kv^2\int tdt+v_0\int dt+a \\  \\ \Rightarrow x=- \frac{1}{2} kv^2t^2+v_0t+a

Now, at initial position, t = 0 and v=v_0, thus we have

x=a

and when the velocity drops to half its value, v= \frac{1}{2} v_0 and t= \frac{2}{kv_0}

Thus,

x=- \frac{1}{2} k\left( \frac{1}{2} v_0\right)^2\left( \frac{2}{kv_0} \right)^2+v_0\left( \frac{2}{kv_0} \right)+a \\  \\ =- \frac{1}{2k} + \frac{2}{k} +a

Thus, the distance the particle moved from its initial position to when its velocity drops to half its initial value is given by

- \frac{1}{2k} + \frac{2}{k} +a-a \\  \\ = \frac{2}{k} - \frac{1}{2k} = \frac{3}{2k}
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3 years ago
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rodikova [14]

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