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Distance at 20 km/h: \( 20 \text{ km/h} \times 3 \text{ hours} = 60 \text{ km} \)
Total distance: \( 30 \text{ km} + 60 \text{ km} = 90 \text{ km} \)
The cyclist travels a total of 90 km.
A bank offers a savings account with an annual interest rate of 5%, compounded annually. If $1,000 is deposited, how much will be in the account after 3 years?
After 1st year: \( 1,000 \times 1.05 = 1,050 \)
After 2nd year: \( 1,050 \times 1.05 = 1,102.50 \)
After 3rd year: \( 1,102.50 \times 1.05 = 1,157.625 \)
The account will hold approximately $1,157.63 after 3 years.
These questions and answers reflect realistic scenarios, incorporate mathematical reasoning, and follow the requested format. Each includes a detailed step-by-step solution and ends with a boxed final answer as per your instructions.
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