course mth 173

4/23 11:30

Determine the average rate of change of the function y(t) = .5 t 2 + 80 t + -10 between x and x + Dx..5(t + Dt)^2 + 80(t + Dt) - 10

.5(t^2 + 2tDt + Dt^2) + 80(t + Dt) - 10

.5t^2 + tDt + .5Dt^2 + 80t + 80Dt - 10 - (.5t^2 + 80t - 10)

.5t^2 + tDt + .5Dt^2 + 80t + 80Dt - 10 -.5t^2 - 80t +10

tDt + .5Dt^2 + 80Dt

(.5Dt^2 + tDt + 80Dt) / Dt

.5Dt + t + 80

limit as Dt approaches (0) = t + 80

What are the growth rate, growth factor and principal function P(t) for an initial investment of $ 990 which is compounded annually at 10% interest?

Growth rate = .1, as that is the given interest rate. Growth factor = 1.1, as that interest is compounded annually. P(t) = 990 (1.1)^t"

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