Answer:
Explanation:
• The initial dose of the Insulin = 10 Units
The insulin breaks down by about 5% each minute, therefore:
• The decay rate, r= 5%
We want to determine the time it will take for the remaining dosage to be half (5 units) of the original dose.
We use the exponential decay function:
![N(t)=N_o(1-r)^t](https://tex.z-dn.net/?f=N%28t%29%3DN_o%281-r%29%5Et)
Substituting the given values, we have:
![\begin{gathered} 5=10(1-0.05)^t \\ \frac{5}{10}=0.95^t \\ 0.5=0.95^t \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%205%3D10%281-0.05%29%5Et%20%5C%5C%20%5Cfrac%7B5%7D%7B10%7D%3D0.95%5Et%20%5C%5C%200.5%3D0.95%5Et%20%5Cend%7Bgathered%7D)
To solve for t, we change to logarithm form.
Selection C is appropriate for a fence that extends x feet away from the house and utilizes the full 30 ft width of the house.
Answer:
Step-by-step explanation:
studying Math 65
Studying science 50
studying both 35
student are studying in the college are:(65+50)-35=80 students
student studying math only= 65-35=30
student studying science only = 50-25=15