Answer:
Part A; Initial dosage is 10 milligrams
Part B:
8.4113 milligrams after 1 hour
5.0057 milligrams after 4 hours.
Step-by-step explanation:
It is given M(h)= 10 ![e^{-0.173h}](https://tex.z-dn.net/?f=e%5E%7B-0.173h%7D)
Initial dosage is the 10 milligrams
After 1 hour, plug in h as 1
So, M(1)=10![e^{-0.173*1}](https://tex.z-dn.net/?f=e%5E%7B-0.173%2A1%7D)
Simplify the right side
M(1)=10(0.84113)
M(1)= 8.4113 milligrams.
Now, after 4 hours
M(4)=10 ![e^{-0.173*4}](https://tex.z-dn.net/?f=e%5E%7B-0.173%2A4%7D)
M(4)=10(0.50057)
M(4) =5.0057 milligrams
The ratio in it's simplest form is 4:1.
9514 1404 393
Answer:
- $14,747 at 9%
- $12,129 at 5%
Step-by-step explanation:
Let x represent the amount invested at 9%. Then the difference in interest amounts is ...
(9%)x -(5%)(26876 -x) = 720.78 . . . . . assuming a 1-year investment
0.14x -1343.80 = 720.78 . . . . . . . . . simplify
0.14x = 2064.58 . . . . . . . . . . . . . . add 1343.80
x = 14,747 . . . . . . . . . . . . . . . . divide by 0.14
$14,747 is invested at 9%; $12,129 is invested at 5%.