(1 point) Write the exponential function y 450e 0.17t in the form y- ab (a) Once

Question

(1 point) Write the exponential function y 450e 0.17t in the form y- ab (a) Once you have rewritten the formula, give b accurate to at least four decimal places help (numbers) If t is measured in years, indicate whether the exponential function is growing or decaying and find the annual and continuous growth/decay rates The rates you determine should be positive in both cases of growth or decay (by choosing decay the negative rate is implied) (b) The annual (c) The continu growth rate is " rate is % per year (round to the nearest 0 01%). % per year (round to the nearest 0.01%) decay

Explanation / Answer

y = 450 e^-0.17 t

we can write the formula as

y = 450 (e^-0.17)^t

e^-0.17 = .8437

y = 450 (.8437)^t

b = 0.8437

b) the annual decay rate is y = 450 ( 1 - 0.1563 )

= 15.63%

c) continuous decay rate is 17%

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