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3 years ago

3 4 6 9 13 18 24 What is the next number

Mathematics

2 answers:

nevsk [136]3 years ago

8 0

3-4 = 1
6-9 = 3
13-18 = 5
24-31 = 7

I think the next number is 31

DedPeter [7]3 years ago

4 0

3 4 6 9 13 18 24 31 39 48 58
+1 +2 +3 +4 +5 +6 +7 +8 +9 +10

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3 years ago

Assuming that n 1 , rewrite the compound interest equation B t 900 1.185 t in the general form.

Rufina [12.5K]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
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$\bf 1.185\implies 1+0.185\qquad\quad and\quad n=1
\\\\\\
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so, the percentage of the rate is 0.185, what's that as a percentage? well, 0.185 * 100, 18.5%.

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3 years ago

Write an equation In slope intercept form for the line that is parallel to the given line and that passes through the given poin

ludmilkaskok [199]

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Step-by-step explanation:

Let us revise some facts about parallel lines

The equations of two parallel lines have:

Same slopes
Different y-intercept

The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept

The given line has equation 5x - 2y = 10

Put it in the form of y = m x + b to find its slope

∵ 5x - 2y = 10

- Subtract 5x from both sides

∴ -2y = 10 - 5x

- Divide to sides by -2

∴ y = -5 + $\frac{5}{2}$ x

∴ y = $\frac{5}{2}$ x - 5

- The value of m is the coefficient of x

∴ m = $\frac{5}{2}$

∴ The slope of the given line is $\frac{5}{2}$

∵ Parallel lines have same slopes

∴ The slope of the parallel line is m = $\frac{5}{2}$

- Substitute the value of m in the form of the equation

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + b

To find b substitute x and y in the equation by the coordinates of any point lies on the line

∵ The parallel line passes through point (3 , -5)

- Substitute x and y by the coordinates of the point (3 , -5)

∵ x = 3 and y = -5

∴ -5 = $\frac{5}{2}$ (3) + b

∴ -5 = $\frac{15}{2}$ + b

- Subtract $\frac{15}{2}$ from both sides

∴ b = $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x + $\frac{-25}{2}$

∴ The equation of the parallel line is y = $\frac{5}{2}$ x - $\frac{25}{2}$

The equation of the parallel line in slope-intercept form is;

y = $\frac{5}{2}$ x - $\frac{25}{2}$

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

5 0

3 years ago