The grandparents of a newborn child decide to establish a college fund for her. they invest $10,000 into a fund that pays 4.5% interest compounded continuously. a. write a model for the value of the investment over time and find the value of the investment when the child enters college at 18 years old

b. in 2013, the average annual public in-state college tuition was $8893, which was 2.9% above the 2012 cost. use these figures to write a model to project the amount of money needed to pay for one year’s college tuition 18 years into the future. what amount just be invested in the child’s college fund to generate enough money in 18 years to pay for the first year’s college tuition?