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![Evaluate the following:
[(1+((0.0975)/(4)×$3,225)/($255))/(1+(0.0975)/(4))]](https://blblobstorage.blob.core.windows.net/solver-b2c/productionmanual-b2c-image2024-04-16T16:08:33.219Z875dace6-4c1f-417c-ae0a-12d54bcc156c.jpg)
Evaluate the following:
Full solution
Q. Evaluate the following:
- Calculate Interest per Quarter: question_prompt: How much is ?
- Multiply by Principal Amount: First, calculate the interest per quarter by dividing the annual interest rate by .
- Add Principal: Next, multiply the interest per quarter by the principal amount, which is \$\(3\),\(225\).\(\newline\)\(0.024375 \times 3,225 = 78.609375\)
- Find Ratio: Now, add \(1\) to the result of the multiplication to account for the principal.\(\newline\)\(1 + (\$78.609375) = (\$79.609375)\)
- Calculate Denominator: Then, divide this result by \(\$255\) to find the ratio.\(\frac{79.609375}{255} = 0.3121936274509804\)
- Divide to Get Final Answer: Calculate the denominator of the main expression, which is also \(1\) plus the interest per quarter.\(\newline\)\(1 + 0.024375 = 1.024375\)
- Divide to Get Final Answer: Calculate the denominator of the main expression, which is also \(1\) plus the interest per quarter.\[1 + 0.024375 = 1.024375\] Finally, divide the result from step \(4\) by the result from step \(5\) to get the final answer.\[\frac{0.3121936274509804}{1.024375} = 0.30467076923076925\]
