Answer:
Step-by-step explanation: A
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>
!!! I’m pretty sure u didn’t finish writing maybe try re writing the full answer then I can help it only says “in a cafeteria there is one large 10 seat table” !!!
Answer:
$13,260
Step-by-step explanation:
The equation that can be used to determine the cost of a cab ride is cost = $3 + ($1.50 x miles driven).
The flat rate of the cab ride is $3.
The cost of travelling 7 miles is $13.50.
The total amount that would be spent on the cab ride is a function of the price per mile, the total miles driven and the flat rate.
Total cost = variable rate + flat rate
variable rate = cost per mile x total miles driven
15 x $1.50 = $22.50
Flat rate = total cost - variable rate
$25.50 - $22,50 = $3
The equation to determine the total cost of a cab ride: $3 + $1.50m
Where m is the miles driven.
The cost of travelling 7 miles : 3 + (1.5 x 7) = $13.50
A similar question was answered here: brainly.com/question/22844904?referrer=searchResults
