Question 12: [4 points} 500 The equation N t = ( ) 1+493-0-7't models the number of people in a town who have heard a rumor aer t days. As i- increases without pound, what value does N (t) approach? Interpret your answer. How many.r people started the mmoi'? N (t) approaches {a} N (t) is limited by the rate at which the rumor spreads. [h] N (t) is limited by the carrying capacity of the town. {c} N (t) is limited by the number at days it takes for the entire population to hearthe rumor. {d} N (t) is limited by the number at poeple who started the rumor. {e} N (t) is not limited by any value and increases without pound. Question 8: (8 points) Use the one-to-one property of logarithms to solve. In (12 - 9) + In (9) = In (40) Enter the exact answers. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or z + 1; x - 1). Show your work and explain, in your own words, how you arrived at your answer. Question 9: (8 points) Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0-21, where a is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.154 pounds per square inch? (Hint. there are 5,280 feet in a mile) The mountain is feet high. Show your work and explain, in your own words, how you arrived at your answer. Question 10: (4 points) A tumor is injected with 0.6 grams of lodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of lodine-125 remaining in the tumor after t days. Then use the formula to find the amount of lodine-125 that would remain in the tumor after 60 days. Enter the exact answer. Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c * exp (h) or c * In (h)- A(t) Round to the nearest tenth of a gram. There will be _ grams of lodine-125 after 60 days. Question 11: (4 points) A formula for calculating the magnitude of an earthquake is M = - log that uses the common (base 10) logarithm. This is called the Moment Magnitude Scale (MMS), an alternative to the more well known Richter Scale. One earthquake has magnitude 3.9 on the MMS. If a second earthquake has 750 times as much energy as the first, find the magnitude of the second quake. Round to the nearest hundredth. The magnitude of the second earthquake was