Let's assume
amount invested is P
Since, we are given
Nolan invested equation as
Anias invested equation as
now, we can set them equal
now, we can solve for P
now, we can simplify it
So, she needed to invest $94.2322 to have the same amount of money that she has three years later........Answer
Answer:
Step-by-step explanation:
(3x^2 + 2x) + (-x + 9) Remove the brackets
3x^2 + 2x - x + 9 Watch out for the sign in front of the x
3x^2 + x + 9 No more reduction can take place.
(-2x^2 + 5x - 7) + (3x + 7) Remove the brackets
-2x^2 + 5x - 7 + 3x + 7
-2x^2 + 5x + 3x - 7 + 7 Combine
-2x^2 + 8x The 7s cancel -- they are of opposite signs.
No more reduction can take place. The powers on the variables have to be equal before any cancelation can take place.
Answer:
- 191/120
Hopefully I helped
Answer:
Sugar will dissolve to half of it's amount in 2.41 minutes.
Step-by-step explanation:
The given question is incomplete; here is the complete question.
When the sugar is dissolved in water, the amount A that remains undissolved after t minutes satisfies the differential equation
If 25% of the sugar dissolves after 1 min, how long does it take for half of the sugar to dissolve.
The given differential equation is
In other form, dA = -kA.dt
We further integrate the equation,
lnA = -kt + c
Or
A = -----(1)
Here is a constant.
For t = 0,
Let
Therefore, equation (1) will become
A =
If sugar dissolves 25% in 1 minutes then undissolved sugar will be
100 - 25 = 75%
Now from the equation
By taking natural log on both the sides
k = 0.2877
Now we have to calculate the time to dissolve half of the sugar, that means half the sugar will be undissolved.
Form the equation,
ln(0.5) =
0.6931 = 0.2877t
t = 2.41 minutes