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I need help solving this problem it’s multi-step linear equations But it’s one of those question type math problems which I suck at the most

I need help solving this problem it’s multi-step linear equations But it’s one of-example-1

1 Answer

5 votes

Given the equation:

A = 500 + (0.006 x 500)n

Where:

A is the total amount in his account in dollars.

n is the number of years.

Let's find how long it will take for the balance to reach $650

To find the time it will take, substitute 650 for A and solve for n.

650 = 500 + (0.006 x 500)n

650 = 500 + (3)n

Subtract 500 from both sides:

650 - 500 = 500 - 500 + 3n

150 = 3n

• Divide both sides by 3:


\begin{gathered} (150)/(3)=(3n)/(3) \\ \\ 50=n \\ \\ n=50 \end{gathered}

Therefore, it will take 50 years for the balance to reach $650.

ANSWER:

50 years

User Sriram
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