Marques was out at a restaurant for dinner when the bill came. He wanted to leave a 18% tip. If dinner cost dd dollars and cents, which expression represents the cost of dinner plus tip?
The expression that represents the cost of dinner plus tip is:
dd + 0.18dd
= dd(1+0.18)
= dd(1.18)
Juan measured a line to be 12.8 inches long. If the actual length of the line is 13.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Percent error can be calculated using the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) x 100
Substitute the values into the formula:
Percent Error = (|12.8 - 13.7| / 13.7) x 100
= (0.9 / 13.7) x 100
= 0.0657 x 100
= 6.57%
So, the percent error of the measurement is 6.57% to the nearest tenth of a percent.
that was wrong
Apologies for the mistake. Let's re-calculate the percent error with the correct values:
Correct measured value = 12.8 inches
Actual value = 13.7 inches
Percent Error = |(Measured Value - Actual Value) / Actual Value| x 100
= |(12.8 - 13.7) / 13.7| x 100
= |(-0.9) / 13.7| x 100
= (0.0657) x 100
= 6.57%
Therefore, the percent error of the measurement to the nearest tenth of a percent is 6.6%.
Kevin measured a line to be 11.6 inches long. If the actual length of the line is 10.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
To calculate the percent error, we use the formula:
Percent Error = |(Measured Value - Actual Value) / Actual Value| x 100
Given:
Measured Value = 11.6 inches
Actual Value = 10.3 inches
Substitute these values into the formula:
Percent Error = |(11.6 - 10.3) / 10.3| x 100
= |1.3 / 10.3| x 100
= 0.12621 x 100
= 12.6%
Therefore, the percent error of the measurement to the nearest tenth of a percent is 12.6%.
Skylar's monthly bank statement showed the following deposits and withdrawals:
$107.51, $102.07, minus−$99.71, minus−$17.66, $110.57
If Skylar's balance in the account was $80.83 at the beginning of the month, what was the account balance at the end of the month?
To find the account balance at the end of the month, we need to calculate the total deposits and withdrawals and then add or subtract them from the beginning balance.
Total Deposits = $107.51 + $102.07 + $110.57 = $320.15
Total Withdrawals = -$99.71 - $17.66 = -$117.37
Now, calculate the net change by subtracting the total withdrawals from the total deposits:
Net Change = Total Deposits - Total Withdrawals
Net Change = $320.15 - $117.37
Net Change = $202.78
Since the beginning balance was $80.83, we add the net change to this balance to find the account balance at the end of the month:
Account Balance at the end of the month = Beginning Balance + Net Change
Account Balance = $80.83 + $202.78
Account Balance = $283.61
Therefore, the account balance at the end of the month was $283.61.