Questions: You have two investments. The value of Investment A at the end of April was 500, at the end of May was 600, and at the end of June was 400. The value of Investment B at the end of April was 400, at the end of May was 300, and at the end of June was 500. What was the largest month to month percentage change in the TOTAL VALUE of your investments?

You have two investments. The value of Investment A at the end of April was 500, at the end of May was 600, and at the end of June was 400. The value of Investment B at the end of April was 400, at the end of May was 300, and at the end of June was 500. What was the largest month to month percentage change in the TOTAL VALUE of your investments?
Transcript text: You have two investments. The value of Investment A at the end of April was $500, at the end of May was $600, and at the end of June was $400. The value of Investment B at the end of April was $400, at the end of May was $300, and at the end of June was $500. What was the largest month to month percentage change in the TOTAL VALUE of your investments?
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Solution

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Find the largest month-to-month percentage change in the total value of investments A and B.

Calculate the total value of investments at the end of each month

Let's calculate the total value of both investments at the end of each month:

End of April: Investment A = $500, Investment B = $400 Total value at end of April = $500 + $400 = $900

End of May: Investment A = $600, Investment B = $300 Total value at end of May = $600 + $300 = $900

End of June: Investment A = $400, Investment B = $500 Total value at end of June = $400 + $500 = $900

Calculate the percentage changes between months

Now I'll calculate the percentage change from April to May and from May to June:

Percentage change from April to May: ($900 - $900)/$900 × 100% = 0%

Percentage change from May to June: ($900 - $900)/$900 × 100% = 0%

Since both percentage changes are 0%, the largest month-to-month percentage change is 0%.

\(\boxed{\text{The largest month-to-month percentage change is 0\%. The answer is a) 0\%.}}\)

\(\boxed{\text{The largest month-to-month percentage change is 0\%. The answer is a) 0\%.}}\)

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