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4 years ago

The system shown is _____. equivalent independent inconsistent

Mathematics

1 answer:

Setler [38]4 years ago

6 0

By definition:

If a system has at least one solution, it's said to be consistent.
If a system has exactly one solution, it's independent.
If a system has infinite solutions, it's dependent
If a system has no solutions, it's inconsistent.

Your system has exactly one solution (the two lines represent the two equations, and the point where they meet is the solution of the system), and so it is consistent, and in particular independent.

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Sum of money is placed at simple interest for 3 years at 10% per annum and then the amount is invested for 2 years at the same r

JulsSmile [24]

Answer:

sum was 300000

Step-by-step explanation:

let sum of money is placed is x rs

Term T = 3 years, rate R = 10%

Then simple interest for for 3 years is

$SI= \frac{PTR}{100}\\ SI=\frac{x\times 3\times 10}{100} \\SI = 0.3x$

Sum of x will become x+0.3x = 1.3x after 3 years. now this 1.3x is kept for compound interest for two years. ie

$A =P[1+R]^t\\471900=1.3x[1+\frac{10}{100} ]^2\\x=\frac{471900}{1.573} \\x=300000$

Sum was 300000

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4 years ago

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Vladimir [108]

Answer:

Step-by-step explanation:

Simply subtract 15 from 45 and you are left with 30. Hope this helps you!

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3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (4, 9) and (1, 6)?

Aleksandr [31]

a = ( 1 , 6 )

b = ( 4 , 9 )

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

Now just need to put the coordinates in the above equation :

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3 years ago

Solve by the using the square root property: 5x2 - 40 = 0

MatroZZZ [7]

Answer:

2sqrt(2)

Step-by-step explanation:

5x^2 - 40 = 0

=> 5x^2 = 40

=> x^2 = 40/5 = 8

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