Find the equation of the line parallel to the line containing points

Mathematics

1 answer:

Neko [114]2 years ago

4 0

Answer:B

Step-by-step explanation: I took the test already trust me it is correct

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Paddy and Anna each invest $2000 for 5 years.

Serga [27]

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = $P(1+rt)$

, where

P= principal value , r= rate of interest , t = time.

Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

$A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125$

Formula to compute compound amount : $P(1+r)^t$

$=2000(1+r)^5$

When both have same worth then

$2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625$

taking log on both sides , we get

$5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%$

Hence, Value of r= 1.22

6 0

2 years ago

Write the equation of the line with x-intercept -2 and y-intercept -1 in slope-intercept form

eduard

The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.

Now that we have two points, we can solve for slope m

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Given two points} \\ (-2,0)\rightarrow(x_1,y_1) \\ (0,-1)\rightarrow(x_2,y_2) \\ \\ \text{Substitute} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-0}{0-(-2)} \\ m=-\frac{1}{2} \end{gathered}$

Now that we have both m and b. Substitute these values to the slope intercept form

$\begin{gathered} \text{Slope intercept form is} \\ y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \\ \\ \text{Substitute the values from before and we get} \\ y=-\frac{1}{2}x-1 \end{gathered}$

5 0

10 months ago

Which lists all the multiples of 6 that are less than 20?

mel-nik [20]

6, 12, 18
..................

4 0

2 years ago

Read 2 more answers

What is this answer?

zhuklara [117]

Answer:

B is the correct answer