One of the key concepts you have explored so far is the importance of consistency. Whether you are following the order of operations to solve a math problem or driving on the right side of the road to get to class, you are using a consistent strategy to get the job done. Name three other examples you can think of in the world around you where a consistent behavior or problem-solving strategy is important. If some people didn't follow the rules in each of your examples, what consequences would follow? Why is the number zero so important in our math system? How would our math system be affected if there were no such thing as zero?

Taber invested money in an account where interest is compounded every year. he made no withdrawals or deposits. the function a(t)=525(1+0.05)^t represent the amount of money in the account after t years. how much money did taber origanally invested?

If the line in the graph is shifted up two units which is the equation of the new line

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)