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3 years ago

Solve by the elimination method. Show your work 2x – 5y = 1 3x – 4y = -2

Mathematics

1 answer:

svlad2 [7]3 years ago

3 0

Hello,

2x-5y=1 |3|4
3x-4y=-2|-2|-5
------------------------

-7y=7 ==>y=-1
-7x=14==>x=-2

sol={(-2,-1)}

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After 10 months the simple interest of a 6,000 investment was $769. What is the interest rate

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Interest rate ( r ) = 15.38% or 0.1538

Step-by-step explanation:

Given the principal (P) = $6,000, and the simple interest of $769 earned after 10 months:

We can determine the interest rate (r ) by creating its formula algebraically, then use the equation to solve for its value.

Using the simple interest formula,

I = P × r × t 

where:

I = interest amount = $769

P = present value of the principal = $6,000

r = interest rate

t = time = 10/12 (10 months out of 12 months) = 0.83333

I = P × r × t

Divide both sides by P × t:

I / ( P × t ) = P × t × r / ( P × t )

I / ( P × t ) = r

Therefore, the formula for the interest rate is: r = I / ( P × t )

Substitute the given values into the formula to solve for r:

r = I / ( P × t )

r = $769 / ($6,000 × 0.83333)

r = $769/ 4,999.99999

r = 0.1538 or 15.38%

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