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
Lily has saved $ 7
<em><u>Solution:</u></em>
Given that bracelet costs $30
The bracelet Lily would like to buy costs $5 less than 5 times the amount she has saved
Cost of bracelet = $ 30
From given statement,
Cost of bracelet = 5 times the amount she has saved - 5
Let "x" be the amount saved by lily
Cost of bracelet = 5 times x - 5
Here "times" represents multiplication
30 = 5(x) - 5
30 = 5x - 5
30 + 5 = 5x
5x = 35
On dividing 35 by 5 we get 7
x = 7
Thus Lily saved $ 7
Answer:
Step-by-step explanation:
You know negative times positive is negative.(
Answer:
I think so if bad words yes but if he is teasing I think it's fine