Answer:
The new record was 91.96%.
Step-by-step explanation:
As per the given statement: During the World Series the host Citywide Hotel a occupancy Rose 21% over the prior busiest night if the busiest night had been 76% occupancy.
To find the new record of occupancy.
We will find the 21% of 76% and then added it to 76%.
[tex]\text{New record} = \text{old record} + \text{Increase in record}[/tex]
New record = [tex]76\% +(21\% \times 76\%)[/tex]
New record = [tex]\frac{76}{100} +(\frac{21}{100}\times \frac{76}{100})[/tex]
New record = [tex]0.76 + (0.21 \times 0.76) = 0.76 + 0.159 = 09196[/tex]
Convert this decimal number into percentage by just multiplying a number by 100 we get;
New record = [tex]0.9196 \times 100 = 91.96\%[/tex]
Therefore, the new record was 91.96%