Answer:
1.8 years
Step-by-step explanation:
Step one:
given data
P= $2000
Rate= 5%
Final amount A= $3800
Step two
A= P(1+rt)
substitute
3800=2000(1+0.05*t)
solve for t
3800=2000(1.05t)
3800=2100t
divide both sides by 2100
t= 3800/2100
t=1.8 years
it will take 1.8 years
So, start by calculating how much acid you have in your starting solution
25
L solution
⋅
60 L acid
100
L solution
=
15 L acid
Let's say that
x
denotes the volume of pure acid that you must add to your starting solution. Since you're dealing with pure acid, the volume of acid will Increase by
x
V
acid
=
15
+
x
At the same time, the volume of the solution will also incrase by
x
V
sol
=
25
+
x
This means that the target solution's percent concetration by volume will be equal to
V
acid
V
soL
⋅
100
=
75
%
(
15
+
x
)
L
(
25
+
x
)
L
⋅
100
=
75
%
Solve this equation for
x
to get
(
15
+
x
)
⋅
100
=
(
25
+
x
)
⋅
75
1500
+
100
x
=
1875
+
75
x
25
x
=
375
⇒
x
=
375
25
=
15 L
So, if you add 15 L of pure acid to 25 L of 60% v/v acid solution, you'll get 40 L of 75% v/v acid solution.
Answer:
is this for a test?
Step-by-step explanation:
Answer:
We can easily solve this problem by plotting the equation with a grpahing calculator. Please see attached image.
Define the key features of the graph of the provided absolute value function.
Even function. The graph is inverted, if we compare it to the absoluted value of |x| thanks to the minus sign. It is also shifted up because we are adding +4
Provide the coordinate of the vertex and two additional points on the graph.
Coordinate of the vertex
V = (x,y) = (0,4)
Points where the graph crosses x - axis
(-4,0)
(4, 0)
Use the coordinate of the function’s vertex to prove the domain and range of the function.
Domain
All real numbers
Range
(-∞, 4]