P(t) = P₀ e^(kt)
<span>Where P₀ is the initial population, </span>
<span>P(t) is the population after "t" time. </span>
<span>t is your rate (can be hours, days, years, etc. in this case, hours) </span>
<span>k is the growth constant for this particular problem. </span>
<span>So using the information given, solve for k: </span>
<span>P₀ = 2000 </span>
<span>P(4) = 2600 </span>
<span>P(t) = P₀ e^(kt) </span>
<span>2600 = 2000e^(k * 4) </span>
<span>1.3 = e^(4k) </span>
<span>Natural log of both sides: </span>
<span>ln(1.3) = 4k </span>
<span>k = ln(1.3) / 4 </span>
<span>Now that we have a value for "k", use that, the same P₀, then solve for P(17): </span>
<span>P(t) = P₀ e^(kt) </span>
<span>P(17) = 2000 e^(17ln(1.3) / 4) </span>
<span>Using a calculator to get ln(1.3) then to simplify from there, we get: </span>
<span>P(17) ≈ 2000 e^(17 * 0.262364 / 4) </span>
<span>P(17) ≈ 2000 e^(4.460188 / 4) </span>
<span>P(17) ≈ 2000 e^(1.115047) </span>
<span>P(17) ≈ 2000 * 3.0497 </span>
<span>P(17) ≈ 6099.4 </span>
<span>Rounded to the nearest unit: </span>
<span>P(17) ≈ 6099 bacteria hope i could help =)))</span>
Answer:
Step-by-step explanation:
x + 67 = 3x - 53 ( exterior angle of a triangle is equal to the sum of two opposite interior angles )
3x - x = 67 + 53
2x =120
x = 120 /2
x = 60
HOPE IT WILL HELP :)
Answer:
yes it is because both lines intersect.
Step-by-step explanation:
2/1 ÷ 3/9
Whenever dividing fractions , the second fraction flips
2/1* 9/3
Multiply the numerators together
Then Multiply the denominators together
18/3 then divide by 3 for 18/3
18/3÷ 3/3
= 6
Answer is 6
Answer:
x=8
Step-by-step explanation:
1. 91+12x-7=180 2. 68=7x+12
84+12x=180 56=7x
12x=96 8=x
x=8
Consecutive angles Alternate Interior Angles
