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Joseph receives a total of $950 interest from an investment of $10 000.The interest has been calculated at two different rates.Joseph obtains 8% for $2500 of his investment and a different rate for the remaining amount.The interest rate on the remaining amount is:

Question

Joseph receives a total of 950interestfromaninvestmentof950 interest from an investment of 10 000.The interest has been calculated at two different rates.Joseph obtains 8% for $2500 of his investment and a different rate for the remaining amount.The interest rate on the remaining amount is:

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Solution

First, let's calculate the interest Joseph received from the $2500 investment at 8%.

Interest = Principal amount * Rate * Time Assuming the time is 1 year, the interest from the 2500investmentis:Interest=2500 investment is: Interest = 2500 * 8/100 * 1 = $200

Joseph received a total of 950interest,sotheinterestfromtheremainingamountofhisinvestmentis:950 interest, so the interest from the remaining amount of his investment is: 950 - 200=200 = 750

The remaining amount of his investment is: 10,00010,000 - 2500 = $7500

Now, let's find the interest rate on the remaining amount. We can use the formula for interest and solve for the rate:

Rate = Interest / (Principal amount * Time) Assuming the time is 1 year, the rate is: Rate = 750/(750 / (7500 * 1) = 0.1

So, the interest rate on the remaining amount is 10%.

This problem has been solved

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