Example Question - compound interest problem
Here are examples of questions we've helped users solve.
Solving Compound Interest Problem with Incomplete Information
The image shows a compound interest problem where Aladdin invests $20,000 in a savings account that pays compound interest at the rate of r% per year. The interest is compounded quarterly, and the formula shown is for the total amount of the investment at the end of n years. The formula is: Total amount = 20,000 * (1 + r/1000)^(4n) However, to solve for the values of r and n, we would need additional information such as the final total amount or the time period of the investment. Without additional information, there are infinite possibilities for r and n that would satisfy this equation. If there is more data provided, please share it, and I can help you solve for r and n accordingly. Otherwise, it's not possible to determine the values of r and n with the information given.
Solving compound interest problem with missing total amount
Based on the image, I see a mathematical problem involving the formula for compound interest. However, the total amount that the investment grew to is not provided in the question as visible in the image, and we need this to find the values of 'r' (the interest rate) and 'n' (the number of years). The formula given is: Total amount = 20,000(1 + r/1000)^(4n) The '4' in the exponent signifies that interest is compounded quarterly (4 times per year). If you have the total amount that the investment grew to, you can then replace 'Total amount' in the formula with that number. Once you have the total amount, we can take the following steps to solve for 'r' and 'n': 1. Divide both sides by 20,000 to isolate the compound interest factor. 2. Take the fourth root (since the interest is compounded quarterly) of both sides to get rid of the power of '4n'. 3. Solve for '1 + r/1000' by taking the 20th root (since we are left with '(1 + r/1000)^20' after step 2). 4. Once you have the value for '1 + r/1000', you can then subtract 1 and multiply by 1000 to get the value of 'r'. 5. To find 'n', you would then use the log operation with the value found for '1 + r/1000' and the total amount (divided by the initial 20,000). Please provide me with the total amount or any other missing information so that I can guide you through the solving process in detail.
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