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Bad White [126]
3 years ago
5

Determine the simple interest that is accured on $.5500 for five years at a rate of 8.5%.

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

$2337.5

Step-by-step explanation:

5500x5x8.5/100

=$2337.5

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You can jog around your block twice and the park once in 10 minutes. You can jog around your block twice and the park 3 times in
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2x + y = 10
2x + 3y = 22

Please consider marking this answer as Brainliest to help me advance, and let me know if you need any clarifications.
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3 years ago
What is the equation of this line?
QveST [7]

Answer:

y = (1/2)x - 3     Answer A is closest.  

Step-by-step explanation:

Two points on the line are (0, -3) and (4, -1).  Notice that I've intentionally chosen "nice" points whose coordinates are integers; this makes the math easier.  The point (1, -5/2) is also on the line if you want to use it, but the math's a bit more complicated.

Going from (0, -3) to (4, -1), x increases by 4 and y increases by 2.  Hence, the slope of this line is m = rise / run = 2/4, or m = 1/2.

The slope-intercept formula for the equation of a straight line is the most convenient to use here, since we can tell immediately from the graph that the y-intercept is (0, -3):

y = (1/2)x - 3

Answer A should be y = (1/2)x - 3 for improved legibility.  1 2 x is not correct as a way to express (1/2)x.

6 0
3 years ago
Read 2 more answers
What are the dependent (y) and the independent (x) variables?
Alexandra [31]

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Step-by-step explanation:

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3 years ago
Using the binomial theorem , obtain the expansion of :
andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Expand both factors and collect like term

Using Pascal' triangle with n = 6 to obtain the coefficients

1  6  15  20  15  6  1

Decreasing powers of 1 from 1^{6} to 1^{0}

Increasing powers of 3x from (3x)^{0} to (3x)^{6}

1+3x)^{6}

= 1.1^{6}(3x)^{0} + 6.1^{5}(3x)^{1} + 15.1^{4}(3x)^{2} + 20.1^{3}(3x)^{3} + 15.1²(3x)^{4} + 6.1^{1}(3x)^{5} + 1.1^{0}(3x)^{6}

= 1 + 18x + 135x² + 540x³ + 1215x^{4} + 1458x^{5} + 729x^{6}

--------------------------------------------------------------------------------------

(1-3x)^{6}

= 1.1^{6}(-3x)^{0} + 6.1^{5}(-3x)^{1} + 15.1^{4}(-3x)^{2} + 20.1^{3}(-3x)^{3} + 15.1²(-3x)^{4} + 6.1^{1}(-3x)^{5} + 1.1^{0}(-3x)^{6}

= 1 - 18x + 135x² - 540x³ + 1215x^{4} - 1458x^{5} + 729x^{6}

----------------------------------------------------------------------------------

Collecting like terms from both expressions

(1+3x)^{6} + (1-3x)^{6}

= 2 + 270x² + 2430x^{4} + 1458x^{6}

----------------------------------------------------

(2)

Using Pascal's triangle with n = 5

1  5  10  10  5  1

Decreasing powers of 1 from 1^{5} to 1^{0}

Increasing powers of 2x from (2x)^{0} to (2x)^{5}

(1+2x)^{5}

= 1.1^{5}(2x)^{0} + 5.1^{4}(2x)^{1} + 10.1^{3}(2x)^{2} + 10.1^{2}(2x)^{3} + 5.1^{1}(2x)^{4}+ 1.1^{0}(2x)^{5}

= 1 + 10x + 40x² + 80x³ + 80x^{4} + 32x^{5}

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They will be 50 miles apart.
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