1) Use the “Rule of 72” to approximate the following: • $1,000 initial investment, at a 6% average annual return. What is the value after 36 years?

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.

Coca-cola was primarily known for its core competencies in marketing, bottling, and distributing aerated drinks. however, with the success of gatorade, coca-cola developed competencies in the development and marketing of its own sports drink, powerade. which of the following is true of coca-cola? a. it is leveraging existing core competencies to improve current market position. b. it is building new core competencies to protect and extend its current market position. c. it is redeploying and recombining existing core competencies to compete in markets of the future. d. it is targeting the chasm between the early adopter and early majority market segment.