Choose 3 out of the 10 fermi problems below and answer in complete sentences. justify your answer with math, facts, and/or reasoning.
d. how many songs are played on your favorite radio station in a given year?
h. how many gallons of gasoline do cars use each year in the united states?
j. how many minutes will u. s. high school students spend texting on their cell phones during the next year?
4. what other methods could be used to estimate the size of a large crowd?
describe how and why the crowd size estimate supplied by event organizers might differ from estimates made by other groups.
5. in solving real-world problems such as estimating a crowd size, the number
of possible telephone numbers, or the answer to a fermi question, why is it necessary to first make some reasonable assumptions about the situation?

the final price would be 29.6925

step-by-step explanation:

39.59 minus 25% equals 29.6925

answer: x=60

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt