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- A money market fund has a continuous flow of money at a rate of f(x)=1500x-170x2 for 10 years. Find the final amount if interest is earned at 8% compounded continuosly.solve for x: ln(x-1)+ln(x+1)=ln(x2+9x+2)-(x-2)Find the equation of the guadratic function with vertex (-5,3) and which passes through the point (2,9). Find an exponential function y=a*b^x which passes through the points (3,1) and (5,4).
- The amount of plutonium remaining from 1 kilogram after x years is given by the function W(x)=2^-x/24,360 Estimate how long it will take for the 1 kilogram to decay to half its original weight.Suppose that t years from now, one investment plan will be generating profit at the rate of P1(t)=110+t2 hundred dollars per year, while a second investment will be generating profit at the rate of P2(t)=206+4t hundred dollars per year. Compute the net excess profit assuming that you invest for the time period in which the rate of profitability of the second investment exceeds that of the first.Use limit methods to determine which of the two given functions grows faster, or state that they have comparable growth rates. x2 ln x; x3