Natural and human-made substances break down over time and figuring out how much is left over time is very common. The function A(t)=135(.917)t represents the amount of substance, A(t) , given the number of days, t . How much of the substance will be left after 18 days, to the nearest whole value? Find A(18) .(1 point)

Question

Natural and human-made substances break down over time and figuring out how much is left over time is very common. The function  A(t)=135(.917)t  represents the amount of substance,  A(t) , given the number of days, t . How much of the substance will be left after 18 days, to the nearest whole value? Find  A(18) .(1 point)
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GPT-4o mini · Answer

To find the amount of the substance left after 18 days using the function \( A(t) = 135(0.917)^t \), we need to substitute \( t = 18 \) into the equation:

\[ A(18) = 135(0.917)^{18} \]

Now, we will calculate \( (0.917)^{18} \):

\[ (0.917)^{18} \approx 0.303 \]

Now, substitute this value back into the equation:

\[ A(18) \approx 135 \times 0.303 \approx 40.805 \]

Rounding this to the nearest whole value gives:

\[ A(18) \approx 41 \]

None of the provided responses match this answer. Please check the calculation and options again. It looks like the value is approximately 41 after performing the calculation accurately, and options available might need to be reviewed.