Answer:
y=Ae^(1.25t)
Step-by-step explanation:
From the expression y=Ae^kt
After two days of the experiment, y = 49 million, t=2
After four days of the experiment, y= 600.25 million, t=4
A is the amount of bacteria present at time zero and t is the time after the experiment (in days)
At t=2 and y =49
49=Ae^2k…………….. (1)
At t=4 and y = 600.25
600.25=Ae^4k………… (2)
Divide equation (2) by equation (1)
600.25/49=(Ae^4k)/(Ae^2k )
12.25=e^2k
Take natural log of both sides
ln(12.25) =2k
2.505 =2k
k=1.25
The exponential equation that models this situation is y=Ae^(1.25t)
9514 1404 393
Answer:
- surface area: 456 cm²
- volume: 408 cm³
Step-by-step explanation:
The surface area of the figure is the total of the areas of the two triangular bases and the three rectangular faces.
SA = 2(1/2)(8 cm)(6 cm) + (17 cm)(6 cm + 8 cm + 10 cm)
= 48 cm² + 408 cm²
SA = 456 cm²
__
The volume is the product of the area of the triangular base and the length of the prism.
V = (1/2)(8 cm)(6 cm)×(17 cm) = (24 cm²)(17 cm)
V = 408 cm³
$661.6-ish
$661.6432918 to be exact
Not sure if I preformed that correctly though
Answer:
n=-7
Step-by-step explanation:
-2(n+2)+6
-2n+2=16
-2n=14
n=-7
<u>Dana : she works 4 days and gets paid $ 12.75 per dog...and she grooms 15 dogs per day.....so Dana makes : 4(12.75 * 15) = 4(191.25) = $ 765</u>
<u>Monique : she works 5 days and gets paid $ 12.75 per dog...and she grooms 10 dogs per day....so she makes : 5(12.75 * 10) = 5(127.50) =</u>
<u>$ 637.50</u>
<u>so the difference between their weekly earnings is : (765 - 637.50) =</u>
<u>$ 127.50 </u>