the answer is 90
Step-by-step explanation:
I used a calculator so-
Answer:
I believe that the answer is A
Answer:
<h3>2T/9</h3>
Step-by-step explanation:
A construction manager needs 12 workers to complete a building project in 54 days, we can write;
12 workers = 54 days
T find the number of workers needed to complete the same project in T days, we will write;
x workers = T days
Divide both equations
12/x = 54/T
Cross multiply
12T = 54x
x = 12T/54
x = 2T/9
Hence the number of workers needed to complete the same project in T days is 2T/9 workers
Answer:
P(t) = 12e^1.3863k
Step-by-step explanation:
The general exponential equation is represented as;
P(t) = P0e^kt
P(t) is the population of the mice after t years
k is the constant
P0 is the initial population of the mice
t is the time in months
If after one month there are 48 population, then;
P(1) = P0e^k(1)
48 = P0e^k ...... 1
Also if after 2 months there are "192" mice, then;
192 = P0e^2k.... 2
Divide equation 2 by 1;
192/48 = P0e^2k/P0e^k
4 = e^2k-k
4 = e^k
Apply ln to both sides
ln4 = lne^k
k = ln4
k = 1.3863
Substitute e^k into equation 1 to get P0
From 1, 48 = P0e^k
48 = 4P0
P0 = 48/4
P0 = 12
Get the required equation by substituting k = 1.3863 and P0 = 12 into equation 1, we have;
P(t) = 12e^1.3863k
This gives the equation representing the scenario
