Answer:
P(0) = 7,917
Step-by-step explanation:
The population of the community is given by the following formula:
In which P(0) is the initial population and r is the growth rate.
The initial population P0 has doubled in 5 years.
This means that
Which lets us find r.
Applying the 5th root to both sides
So
Suppose it is known that the population is 12,000 after 3 years.
With this, we find P(0)
Answer:
Equation: y = 
x
21/2 cups of water
Step-by-step explanation:
Plug in 7 as y and 4 as x
7 = 4k
Find k
k = 7/4
Then plug k into th equation
y = 7/4 x
For the second part of the question:
Plug in x which is 6 into the bolded equation.
y = (7/4)(6) = 42/4 = 21/2 (simplified form)
21/2 cups of water
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
7(6) x 7(5) = 7(6+5) = 7(11) is the simplified answer.
Thank you!
Temperature can relate to how cold the ice cream cone is.
The ice cream cone(s) can relate to all the buildings in the city.
Step-by-step explanation:
