Find answers to your most challenging questions with the help of IDNLearn.com's experts. Our platform is designed to provide trustworthy and thorough answers to any questions you may have.
Sagot :
Answer:
1) 329 grams
2) 45 days
Explanations:The function representing the the number of grams present after t days is:
[tex]\begin{gathered} A(t)\text{ = }450e^{-0.04t} \\ \end{gathered}[/tex]To find the number of grams left after 8 days, substitute t = 8 into the function above:
[tex]\begin{gathered} A(8)=450e^{-0.04(8)} \\ A(8)=450e^{-0.32} \\ A(8)\text{ = }450(0.73) \\ A(8)\text{ = }328.5 \end{gathered}[/tex]A(8) = 329 (to the nearest whole number)
329 grams are left after 8 days
2) How long until 75 grams are left
That is, A(t) = 75
To get the value of t for A(t) = 75
[tex]\begin{gathered} 75=450e^{-0.04t} \\ \frac{75}{450}=\text{ }e^{-0.04t} \\ 0.167\text{ = }e^{-0.04t} \\ \ln \text{ 0.167 = -0.04t} \\ -1.79\text{ = -0.04t} \\ t\text{ = }\frac{-1.79}{-0.04} \\ t\text{ = }44.75 \\ t\text{ = 45} \end{gathered}[/tex]It will take 45 days for 75 grams to be left
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.
