Answer:
Step-by-step explanation:
Compact cars:
24 divided by 4 = 6
6 cars for 24 people
SUV's:
24 divided by 6 = 4
4 SUV's for 24 people
Answer:
Step-by-step explanation:
Given
Required
Find y when 
We have:
Express as equation
Solve for k
When
When , we have:
Answer:
k ≈ 0.1733
Step-by-step explanation:
Using the numbers given, we find the multiplier of the population is 800/200 = 4 in 8 hours. This means the equation of growth can be written ...
y = 200(4^(t/8))
When this is written in the form ...
y = 200·e^(kt)
We can compare the two equations to see that ...
4^(1/8) = e^k
Taking natural logarithms, we have ...
1/8·ln(4) = k ≈ 0.1733
The growth rate k is approximately 0.1733.
_____
<em>Additional comment</em>
The comparison we were looking for was (4^(1/8))^t = (e^k)^t. Instead of "comparing" the equations, you could set them equal and solve for k.
200(4^(t/8)) = 200e^(kt)
4^(t/8) = e^(kt) . . . divide by 200
t/8·ln(4) = kt·ln(e) . . . . take natural logs
1/8·ln(4) = k . . . . . . use ln(e) = 1 and divide by t
Answer:
Step-by-step explanation:
Square the top and bottom numbers in the fraction
13^2 = 169
7^2 = 49
169/49
Answer:
800 liters
Step-by-step explanation:
A simple cross multipilcation
It says it has gone down 85%, so only 15% is left.
120 liters is 15% of the original sum.
120 liters 15%
x= 100%
120*100/15 = 800 liters
