if you had one billion dollars and you spent one dollar every second how many years would it take you to spend it all? please show all the detailed steps.
The Correct Answer and Explanation is:
Let’s break down the problem step by step.
Step 1: Understanding the Rate of Spending
You spend 1 dollar per second.
Step 2: Convert Dollars into Seconds
You have 1 billion dollars. Since you are spending 1 dollar per second, it will take: Total time in seconds=1,000,000,000 dollars×1 second/dollar=1,000,000,000 seconds\text{Total time in seconds} = 1,000,000,000 \, \text{dollars} \times 1 \, \text{second/dollar} = 1,000,000,000 \, \text{seconds}Total time in seconds=1,000,000,000dollars×1second/dollar=1,000,000,000seconds
Step 3: Convert Seconds into Minutes
We know there are 60 seconds in a minute, so: Total time in minutes=1,000,000,000 seconds60=16,666,666.67 minutes\text{Total time in minutes} = \frac{1,000,000,000 \, \text{seconds}}{60} = 16,666,666.67 \, \text{minutes}Total time in minutes=601,000,000,000seconds=16,666,666.67minutes
Step 4: Convert Minutes into Hours
There are 60 minutes in an hour, so: Total time in hours=16,666,666.67 minutes60=277,777.78 hours\text{Total time in hours} = \frac{16,666,666.67 \, \text{minutes}}{60} = 277,777.78 \, \text{hours}Total time in hours=6016,666,666.67minutes=277,777.78hours
Step 5: Convert Hours into Days
There are 24 hours in a day, so: Total time in days=277,777.78 hours24=11,574.07 days\text{Total time in days} = \frac{277,777.78 \, \text{hours}}{24} = 11,574.07 \, \text{days}Total time in days=24277,777.78hours=11,574.07days
Step 6: Convert Days into Years
There are 365.25 days in a year (taking into account leap years), so: Total time in years=11,574.07 days365.25=31.7 years\text{Total time in years} = \frac{11,574.07 \, \text{days}}{365.25} = 31.7 \, \text{years}Total time in years=365.2511,574.07days=31.7years
Final Answer
It would take approximately 31.7 years to spend 1 billion dollars at a rate of 1 dollar per second.
Explanation
We started with 1 billion dollars and calculated the total time it would take to spend it by breaking it down into smaller time units. First, we converted the total amount of money into seconds, as you’re spending 1 dollar every second. Then, we converted seconds to minutes, minutes to hours, hours to days, and finally days to years. The result shows that it would take you just over 31 and a half years to spend 1 billion dollars, which emphasizes the massive scale of 1 billion when measured in terms of time. Even if you spent the money without pause, it would take over three decades to exhaust such a large sum
