Yesterday the temperature at noon was 25°F. By midnight, it had decreased by 31.3°F. What was the temperature at midnight?
The temperature at midnight would be:
25°F - 31.3°F = -6.3°F
Therefore, the temperature at midnight was -6.3°F.
A scientist uses a submarine to study ocean life.
She begins 145 feet below sea level.
After traveling down for 3 seconds, she's 241 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth.
To find the rate of change in the submarine's elevation, you need to find the difference in elevation and divide it by the time taken.
Change in elevation = Final elevation - Initial elevation
Change in elevation = 241 feet - 145 feet = 96 feet
Time taken = 3 seconds
Rate of change = Change in elevation / Time taken
Rate of change = 96 feet / 3 seconds
Rate of change = 32 feet per second
Therefore, the rate of change in the submarine's elevation is 32 feet per second.
that was wrong
I apologize for the mistake. Let's re-calculate the rate of change in the submarine's elevation.
Initial elevation: 145 feet below sea level
Final elevation after 3 seconds: 241 feet below sea level
Change in elevation: 241 feet - 145 feet = 96 feet
Time elapsed: 3 seconds
Rate of change in elevation = Change in elevation / Time taken
Rate of change in elevation = 96 feet / 3 seconds
Rate of change in elevation = 32 feet per second
Therefore, the correct rate of change in the submarine's elevation is 32 feet per second.
Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. Carson's account has gone into overdraft. His balance is $-23.81. To get back to a positive balance, he plans to deposit money at a steady rate of $37.69 per week. How much will be in his account after 4 weeks?
Carson's account balance: $-23.81
Weekly deposit: $37.69
After 4 weeks, Carson's account balance will be:
Initial balance: $-23.81
Total deposit after 4 weeks: $37.69/week * 4 weeks = $150.76
New balance after 4 weeks: -23.81 + 150.76 = $126.95
After 4 weeks, Carson's account will have a balance of $126.95.
A scientist uses a submarine to study ocean life.
She begins 164 feet below sea level.
After descending for 15 seconds, she's 276 feet below sea level.
Find the rate of change in the submarine's elevation in feet per second. If necessary, round your answer to the nearest tenth.
To find the rate of change in the submarine's elevation, we need to calculate the change in elevation and divide by the time taken.
Initial elevation: 164 feet below sea level
Final elevation after 15 seconds: 276 feet below sea level
Change in elevation = 276 feet - 164 feet = 112 feet
Time taken = 15 seconds
Rate of change = Change in elevation / Time taken
Rate of change = 112 feet / 15 seconds
Rate of change = 7.47 feet per second
Therefore, the rate of change in the submarine's elevation is 7.5 feet per second.