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

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

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg

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step-by-step explanation: