1.Atmospheric pressure Pin pounds per square inch is represented by the formula P=14.7e^0.21x, where xis the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.461pounds per square inch? (Hint: there are 5,280feet in a mile)

The mountain is _____ feet high.

Show your work and explain how you got the answer

2.A tumor is injected with0.5grams of Iodine-125, which has a decay rate of1.15%per day. Write exponential model representing the amount of Iodine-125 remaining in the tumor aftert days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after60 days.

Enter the exact answer

Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c*exp(h)orc*ln(h).

A(t)=

Round to the nearest tenth of a gram.

There will be _______ grams of Iodine-125 after60days.

3.

A formula for calculating the magnitude of an earthquake isM=2/3log(E/E[0])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 3.9on the MMS. If a second earthquake has 600times 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 _________

4.

500 1+49e_U-7t after at days. As t increases without bound. what value does N [15] approach? Interpret your answer. The equation N (t) = models the number of people in a town who have heard a rumor How many people started the rumor? N {t} approaches N (t) is limited by the number of days it takes for the entire population to hear the rumor. N (t) is limited by the rate at which the rumor spreads. N (t) is limited by the carrying capacity of the town. N (t) is limited by the number of poeple who started the rumor. N (t) is not limited by any value and increases without bound