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Answer:
6 weeks
Step-by-step explanation:
So the amount b we will have in our account w weeks from now is given by the equation:
To find out after how many weeks from now we will have $210, substitute 210 for b and solve for w:
Subtract 85 from both sides:
Add within the parentheses:
Divide both sides by 22:
In other words, we will have $210 after approximately 6 weeks.
The inscribed angle theorem says that
Triangle AOC is isosceles because both AO and CO are radii of the circle and have the same length. This means angles CAO and ACO have the same measure and are congruent.
Angles ACO and COD are congruent because they form an alternating interior pair between the parallel lines AC and OD.
Taking all these facts together, we have
and since angle COB is made up of angles COD and DOB, these angles must be congruent, and so the arcs they subtend (CD and DB, respectively) must also congruent.