solve these problems:-

As the price of gasoline goes up, people are will- ing to drive farther to fill their tank in order to save money. Assume you had been buying gasoline for $2.90 per gallon and that it went up to $2.98 per gallon at the station where you usually go. If you drive an F-150 pickup that gets 18 miles per gal- lon, what is the round-trip distance you can drive to break even if it will take 20 gallons to fill your tank? Use an interest rate of 8%6 per year. An automobile company is investigating the ad- visability of converting a plant that manufactures economy cars into one that will make retro sports cars. The initial cost for equipment conversion will be $200 million with a 20% salvage value anytime within a 5-year period. The cost of pro- ducing a car will be $21,000, but it is expected to have a selling price of $33,000 to dealers. The production capacity for the first year will be 4000 units. At an interest rate of 12% per year, by what uniform amount will production have to in- crease each year in order for the company to re- cover its investment in 3 years?A study was conducted by the Department of Zoology at Virginia Tech to determine if there is a signicant difference in the density of organisms at two different stations located on Cedar Run, a secondary stream in the Roanoke River drainage basin. Sewage from a sewage treatment plant and overflow from the Federal Mogul Corporation settling pond enter the stream near its headwaters. The following data give the density measurements, in number of organisms per square meter, at the two collecting stations: Number of Organisms per Square Meter Station 1 Station 2 5030 4080 2800 2810 13,?00 11,010 4670 1330 10, T30 8130 6890 3320 11,400 26,850 7720 1230 860 17,660 7030 2130 2200 22,800 7330 2190 4250 1 130 15,040 1690 Can we conclude, at the 0.05 level of significance, that the average densities at the two stations are equal? Assume that the observations come from normal populations with different variances. \f\f\f