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21-10-2019
Mathematics

contestada

Convert the equation f(t)=190(1.33)^t to the form f(t)=ae^kt

a=
k=

Give values accurate to three decimal places

Respuesta :

MathPhys MathPhys

21-10-2019

Answer:

a = 190

k = 0.285

Step-by-step explanation:

f(t) = 190 (1.33)^t

At t = 0, f(t) = 190. So a = 190.

f(t) = 190 e^(kt)

Set equal and solve for k:

190 (1.33)^t = 190 e^(kt)

1.33^t = e^(kt)

ln(1.33^t) = kt

t ln(1.33) = kt

k = ln(1.33)

k = 0.285

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