On november 27, 1993, the new york times reported that wildlife biologists have found a direct link between the increase in the human population in florida and the decline of the local black bear population. from 1953 to 1993, the human population increased, on average, at a rate of 8% per year, while the black bear population decreased at a rate of 6% per year. in 1953 the black bear population was 11,000.

(a) the 1993 human population of florida was 13 million. what was the human population in 1953. (round to nearest whole person. do not include commas in answer.)
(b) find the black bear population in 1993. (round to nearest whole bear.)
(c) had this trend continued, in what year would the black bear population have numbered less than 130?

Four analysts cover the stock of fluorine chemical. one forecasts a 6% return for the coming year. the second expects the return to be negative 6%. the third predicts a return of 8%. the fourth expects a 2% return in the coming year. you are relatively confident that the return will be positive but not large, so you arbitrarily assign probabilities of being correct of 35 % comma 8 %, 17 %, and 40%, respectively, to the analysts' forecasts. given these probabilities, what is fluorine chemicals expected return for the coming year

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

Jose recently died with a probate estate of $900,000. he was predeceased by his wife, guadalupe, and his daughter, lucy. he has two surviving children, pete and fred. jose was also survived by eight grandchildren, pete’s three children, naomi, daniel, nick; fred’s three children, heather, chris and steve; and lucy’s two children, david and rachel. jose’s will states the following “i leave everything to my three children. if any of my children shall predecease me then i leave their share to their heirs, per stirpes.” which of the following statements is correct? (a) under jose’s will rachel will receive $150,000. (b) under jose’s will chris will receive $150,000. (c) under jose’s will nick will receive $100,000. (d) under jose’s will pete will receive $200,000.