Answer:
a. C(t)=205*(1-0.08)^t
b. t=log_0.92(C(t)/205)=(log_10(C(t)/205))/(log_10(0.92))
c. 16.92 hours
Step-by-step explanation:
Let's say that C(t) is the expression of the amount of caffeine remaining in Darrin's system after t time, hours in this particular case.
a. Then for the first hour the expression would be:
C(t)=205*(1-0.08)
For the second hour:
C(t)=205*(1-0.08)-205*(1-0.08)*(1-0.08)
For the third
C(t)=205*(1-0.08)-205*(1-0.08)*(1-0.08)-205*(1-0.08)*(1-0.08)*(1-0.08)
And so on, for that reason the best way to fit the expression is:
C(t)=205*(1-0.08)^t
2. To find the correct expression for time, we must solve for t the equation recently written above:
Considering that log_b(a)=c and log_b(a)=log_c(a)/log_c(b), then:
t=log_0.92(C(t)/205)
t= (log_10(C(t)/205))/(log_10(0.92))
3. Finally we replace the given value of C(t) into the equation for t:
t= (log_10(50/205))/(log_10(0.92))=16.92
t= 16.92 hours
Answer:
hope this helped i was kinda confused by the question
Step-by-step explanation:
3 x 11 = 33
4 x 5 = 20
33 + 20 = 53
10 x 4 = 40
80 - 40 = 40
53 > 40
60 - 50 = 10
3 x 10 = 30
5 x 15 = 75
50 = 20 = 70
11 + 33 = 44
35 x 15 = 525
42 + 35 = 77
9 x 8 = 72
Answer:
= 3/4
Step-by-step explanation:
WX = 9
W = 12
12X = 9
Divide both sides by 12
12X/12 = 9/12
X = 9/12 - Simplify
X = 3/4
X is located at 3/4
My equation was (1230÷3) ×4 ×this is the multiplication sign