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3 years ago

How to find next number in this sequence. 2,7,26,101,400?

Mathematics

1 answer:

lyudmila [28]3 years ago

5 0

N(4)-1
n(4)-2

ex 2(4)=8
8-1=7

7(4)=28
28-2=26
so the next number would be 1595

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You deposit $400 in an account earning 2% interest compounded annually. How much will you have in the account in 20 years?

iVinArrow [24]

Answer:

Approximately $594.38

Step-by-step explanation:

Use the formula: y = a(1 + r)^t
a is the initial amount
r is the percent of interest in decimal form
t is the time in years
y is the money after t years

Substitute the values given in the problem into the equation:
400(1+0.02)^20
Use a calculator or solve manually
Around 594.38

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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gulaghasi [49]

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3 years ago

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Consider a line whose slope is 6 and which passes through the point (8.–2).

Zolol [24]

Answer:

$y=6(x-8)-2\qquad\text{point-slope form}$

$y=6x-50\qquad\text{slope-intercept form}$

Step-by-step explanation:

The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.

The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:

$y=m(x-xo)+yo$

The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:

$y=mx+b$

The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:

$\boxed{y=6(x-8)-2\qquad\text{point-slope form}}$

To find the slope-intercept form, we operate the above equation:

$y=6x-48-2$

$\boxed{y=6x-50\qquad\text{slope-intercept form}}$

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3 years ago