Mathematics: Find the exponential function that satisfies the given conditions: initial value = 67, decreasing at a rate of 0.47% per week f(t) = 0.47 ⋅ 0.33t f(t) = 67 ⋅ 1.47t f(t) = 67 ⋅ 1.0047t f(t) = 67 ⋅ 0.9953t

Find the exponential function that satisfies the

hannahmayline

11.03.2022

Answer-

The exponential function that satisfies the given conditions is f(t)=67(0.9953)^t

Solution-

This can be represented as exponential decreasing function,

f(t)=a(1 - r)^t

Where,

a = starting amount = 67r = rate = 0.47% = 0.0047t = week

Putting the values,

$\Rightarrow f(t)=67(1 - 0.0047)^t$

$\Rightarrow f(t)=67(0.9953)^t$

Therefore, the exponential function that satisfies the given conditions is

f(t)=67(0.9953)^t

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ShortCakes02

22.03.2023

Step-by-step explanation:

my answer is 110 degree

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