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4 years ago

6(2y + 6) = 4(9 + 3y)

Mathematics

1 answer:

gizmo_the_mogwai [7]4 years ago

3 0

Answer:

statement is true

Step-by-step explanation:

first we have to open the brackets

12y+36= 36+12y

after transposing

36-36 = 12y-12y

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3 years ago

Simplify the expression:<br><br> 7(1 + 2g) =

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3 years ago

A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%

VashaNatasha [74]

Answer:

The woman invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.

Step-by-step explanation:

We are given the following in the question:

Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.

The woman invested has three times as much invested at 7% as she does at 6%.

Thus, we can write the equation:

$x = 3y$

The total interest is $1,350.

Thus, we can write the equation:

$1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000$

Solving the two equations by substitution method:

$7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000$

Thus, she invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.

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3 years ago