43) The growth in population of a city can be seen using the formula p(t) = 2148e0.008t, where t is the number of years. Use this formula to calculate the population after 10 years.

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44) Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by ln(1 – P) = -0.0039 – 0.0051x, where x represents the dollars of tax per ton of carbon emitted and P represents the percent reduction in emissions of carbon. (P is in decimal form.) Determine P when x = 63. Round to three decimal places.

45) Suppose f(x) = 32.6 + 1.2log (x + 1) models salinity of ocean water to depths of 1000 meters at a certain latitude. x is the depth in meters and f(x) is in grams of salt per kilogram of seawater. Approximate the salinity (to the nearest hundredth) when the depth is 771 meters.

1) 1 4

2) {-3} 3) {-4} 4) {4} 5) {2} 6) {3} 7) {-3} 8) {-8, 8} 9) {625}

10) – 1 3

11) 1 7

12) – 1 4

13) {-3, 3}

14) 7 4

15) 1 3

16) – 9 7

17) 1396 18) 113 19) 1841 units 20) 164 cases 21) 55.9 g 22) {3} 23) {-3} 24) {6} 25) {5} 26) {13} 27) {-2}

28) 3 5

29) 1 3

30) {64}

31) 1 125

32) {15} 33) {4} 34) {4} 35) 4 36) -4 37) 6 38) -1 39) 49 40) -18 41) 1000 42) -40 43) 2327 44) 0.278 45) 36.07 g/kg

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