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3 years ago

An investment of $4000 earns $1700 simple interest after 5 years. what is the annual simple interest rate in the investment?

Mathematics

1 answer:

dezoksy [38]3 years ago

8 0

Answer:

8.5% interest rate

Step-by-step explanation:

Principle: $4000

Interest rate: x

Time : 5 years

4000( 5 ) ( x ) = Interest

4000x = 1700/5

4000x = 340

x = 0.085 or 8.5% interest rate

Check:

8.5% x 4000 x 5

= 340 x 5

= 1700

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PLEASE HELP

poizon [28]

Part A
The given line passes through (-2,2) and it is parallel to the line

$4x - 3y - 7 = 0$

We need to determine the slope of this line by writing it in slope -intercept form.

$3y = 4x - 7$

$y = \frac{4}{3} x - \frac{7}{3}$
The slope of this line is
$\frac{4}{3}$

The line parallel to this line also has slope

$m = \frac{4}{3}$

The equation is

$y = \frac{4}{3} x + c$

We substitute (-2,2)

$2 = \frac{4}{3}( - 2) + c$

$c = 2 + \frac{8}{3} = \frac{14}{3}$

The required equation is

$y = \frac{4}{3} x + \frac{14}{3}$

PART B

The given line is

$4x - 3y - 7 = 0$

The slope of this line is
$\frac{4}{3}$

The slope of the line perpendicular to it is

$m = - \frac{3}{4}$

The equation of the line is

$y = - \frac{ 3}{4} x + c$

We substitute the point, (-2,2)

$2= - \frac{ 3}{4} ( - 2) + c$

$2= \frac{ 3}{2} + c$

$c = 2 - \frac{3}{2} = \frac{1}{2}$

The equation of the perpendicular line is

$y= - \frac{ 3}{4} x + \frac{1}{2}$

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3 years ago

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wlad13 [49]

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Step-by-step explanation:

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