Answer:1) bacteria size = b(initial) * e^(r * t)
initial size = 300
final size = 1600.
Substituting the values into the main equation:
1600 = 300 * e^(r * 35 - 20)
solving for 'r'.
1600 = 300 * e^(r * 15)
1600/300 = e^(r * 15)
taking natural log on both sides to eliminate the power
ln(16/3) = ln[e^(r * 15)]
ln(16/3) = r * 15
r = ln(16/3) / 15
= 0.11159843
= 11.16%
To find the initial bacteria size,
Given: t = 20
300 = b * e^(0.1116 * 20)
Solving for b:
300 = b * e^2.232
b = 300/e^2.232
b = 32
Step-by-step explanation:
Answer:
1 1/2
Step-by-step explanation:
because when you divide 7.5 by 5 you get 1.5
Answer:
You did not give us an equation :\
Answer:
see the explanation in the procedure
Step-by-step explanation:
<u><em>The complete question is</em></u>
Tanisha and Rebecca are signing up for the new cellphone plans that only charge for the number of minutes and everything else is included in a monthly fee. Their plans are as follows:
Tanisha s Plan: $0.15 per minute used talking and a $25 monthly fee
Rebecca s Plan: $0.10 per minute used talking and a $18.50 monthly fee
After how many minutes will the two plans charge the same amount?
Let
x ----> the number of minutes
y ---> the total charge in dollars
we know that
<em>Tanisha s Plan</em>
-----> equation A
<em>
Rebecca s Plan</em>
-----> equation B
To find out after how many minutes will the two plans charge the same amount, equate equation A and equation B
solve for x

therefore
They will never pay the same amount , because the time cannot be a negative number.
Rebecca s Plan is better than Tanisha s Plan because it has smaller fee and less cost per minute