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kifflom [539]
3 years ago
14

The first three terms of an arithmetic sequence are as follows.

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer:

The next two terms are 14 and 20.

Step-by-step explanation:

This is because the pattern is add 6, so you add 6 to 8 which equals 14, then 14 plus 6 equals 20.

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Sandra saves 7% of her salary for retirement. This year her salary was $2,000 more than her salary than in the previous year, an
Effectus [21]

9514 1404 393

Answer:

  • 2,000
  • $45,000

Step-by-step explanation:

Where x represents the previous year's salary, its amount this year is said to be ...

  x + 2000

The equation is trying to reflect the fact that 7% of that is $3,290. The missing number is 2000:

  0.07(x +2000) = 3290

__

Solving for x, we find ...

  x = (3290/0.07) -2000 = 45000

Sandra's salary the previous year was $45,000.

3 0
2 years ago
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Reil [10]
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6 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cint%20%5Cfrac%7Bdx%7D%7Bxln%5E%7Bp%7Dx%20%7D" id="TexFormula1" title=" \int \frac{dx}{xl
Eva8 [605]
Substitute u=\ln x, so that \mathrm du=\dfrac{\mathrm dx}x. The integral is then equivalent to

\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\int\frac{\mathrm du}{u^p}=\begin{cases}\dfrac{u^{p+1}}{p+1}+C&\text{for }p\neq1\\\\\ln|u|+C&\text{for }p=1\end{cases}

Then transforming back to x gives

\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\begin{cases}\dfrac{\ln^{p+1}x}{p+1}+C&\text{for }p\neq1\\\\\ln|\ln x|+C&\text{for }p=1\end{cases}
4 0
3 years ago
Find the equation of the line
amm1812

Answer:

y = 2x - 7

Step-by-step explanation:

The question is asking for slope-intercept form, y = mx + a.

Given:

(1, -5) and (9, 11)

Find the slope (m) between the two points:

m = (y2 - y1) / (x2 - x1)

x1 = 1

x2 = 9

y1 = -5

y2 = 11

m = ( 11 - (-5) )/(9 - 1)

= 16/8

m = 2

y = 2x + a

Use one of the two points to find a (I will use (1, -5)):

-5 = 2(1) + a

-5 = 2 + a

-7 = a

a = -7

y = 2x + (-7)

y = 2x - 7

7 0
2 years ago
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