Question
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 Find A(18)
28
25
29
39
28
25
29
39
Answers
GPT-4o mini
To find the amount of the substance remaining after 18 days using the given formula \( A(t) = 135(.917)^t \), we will substitute \( t = 18 \) into the equation.
\[
A(18) = 135 \times (0.917)^{18}
\]
Now, we calculate \( (0.917)^{18} \):
\[
(0.917)^{18} \approx 0.283
\]
Next, we multiply this value by 135:
\[
A(18) \approx 135 \times 0.283 \approx 38.205
\]
Rounding this to the nearest whole number, we get:
\[
A(18) \approx 38
\]
From the provided options (28, 25, 29, 39), the closest answer is **39**.
So, the amount of the substance left after 18 days would be approximately **39**.
\[
A(18) = 135 \times (0.917)^{18}
\]
Now, we calculate \( (0.917)^{18} \):
\[
(0.917)^{18} \approx 0.283
\]
Next, we multiply this value by 135:
\[
A(18) \approx 135 \times 0.283 \approx 38.205
\]
Rounding this to the nearest whole number, we get:
\[
A(18) \approx 38
\]
From the provided options (28, 25, 29, 39), the closest answer is **39**.
So, the amount of the substance left after 18 days would be approximately **39**.