The following table gives $A(t)$, the percentage of the electorate favoring candidate $A$ during the 12 months preceding a presidential election. Time, $t$, is measured in months, and $t=0$ is a year before election day.

Assume that $A(t)$ is approximately trigonometric. A second candidate, candidate $B$, has a percentage of support given by $B(t)=30+15 \sin \left(\frac{\pi}{6} t\right)$. What is the largest value of $t, 0 \leq t \leq 12$, at which the two candidates are tied for electoral support? Round to 2 decimal places.

Question

The following table gives $A(t)$, the percentage of the electorate favoring candidate $A$ during the 12 months preceding a presidential election. Time, $t$, is measured in months, and $t=0$ is a year before election day.
  
Assume that $A(t)$ is approximately trigonometric. A second candidate, candidate $B$, has a percentage of support given by $B(t)=30+15 \sin \left(\frac{\pi}{6} t\right)$. What is the largest value of $t, 0 \leq t \leq 12$, at which the two candidates are tied for electoral support? Round to 2 decimal places.

Quizplus · Accepted Answer

The Answer of The following table gives $A(t)$, the percentage of the electorate favoring candidate $A$ during the 12 months preceding a presidential election. Time, $t$, is measured in months, and $t=0$ is a year before election day.
  
Assume that $A(t)$ is approximately trigonometric. A second candidate, candidate $B$, has a percentage of support given by $B(t)=30+15 \sin \left(\frac{\pi}{6} t\right)$. What is the largest value of $t, 0 \leq t \leq 12$, at which the two candidates are tied for electoral support? Round to 2 decimal places.

The Following Table Gives A(t)A(t)A(t) , the Percentage of the Electorate Favoring Candidate

The Following Table Gives $A(t)$ , the Percentage of the Electorate Favoring Candidate