Answer:
Step-by-step explanation:
The population of a community is known to increase at a rate proportional to the number of people present at time t.
This means that the population growth is modeled by the following differential equation:
Which has the following solution:
In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The population has doubled in 10 years
This means that 
. We use this to find r.
So the equation that will estimate the population of the community in t years is:
Answer:
10 quarters and 15 dimes
Step-by-step explanation:
25 = Quarters + Dimes
Total worth = $4.00 = 0.25* Quarter + 0.1*Dimes
so...
25 = Q + D , D = 25 - Q
4 = 0.25*Q + 0.1 * (25 - Q)
4 = 0.25 * Q + 2.5 - 0.1*Q
1.5 = 0.15Q
Q = 10
D = 15
Answer:
exact form: 69/8
mixed number form: 8 5/8
Step-by-step explanation:
^
1/4 ÷ 2/5 = 5/8 |
5/8+8 = ______|
Answer:
(2, 3 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = - 5 → (1)
5x + 4y = 22 → (2) [ rearranged equation ]
Multiplying (1) by 4 and (2) by 3 and adding will eliminate the term in y
8x - 12y = - 20 → (3)
15x + 12y = 66 → (4)
Add (3) and (4) term by term to eliminate y, that is
23x = 46 ( divide both sides by 23 )
x = 2
Substitute x = 2 in either of the 2 equations and evaluate for y
Substituting into (2)
5)2) + 4y = 22
10 + 4y = 22 ( subtract 10 from both sides )
4y = 12 ( divide both sides by 4 )
y = 3
Solution is (2, 3 )
