We know that 2x + 5 = 10 - 3x, and because of this we can solve for x.
2x + 5 = 10 - 3x
+3x
5x + 5 = 10
-5
5x = 5
/5
x = 1
We can plug x into each x value to verify if this is true.
2(1) + 5 = 10 - 3(1)
2 + 5 = 10 - 3
7 = 7
Answer:
a) $300 in interest
b) $1800 account total
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 1500(.04)(5)
I = 300
A = P + I
1800 = 1500 + 300
Answer:
(-10,-3)
Step-by-step explanation:
okay so first, we can plot the points (-3,2) and (4,7) on a graph. after graphing these points, look at the difference between the y-values. this is 5 because 7-2 is 5. now, look at the x-values. this is 7 because 4-(-3) is 7. so this means we have to go on the other side of the midpoint (-3,2) and go 5 lines down from that point. this brings us at (-3,-3). now, we have to go 7 lines to the left. this is (-10,-3). this is the other endpoint.
you can also graph this on desmos to double-check.
hope this helps:)
Answer:
it would be 4
Step-by-step explanation:
Let
be the amount of salt (in pounds) in the tank at time
. We're given that
.
The rate at which the amount of salt in the tank changes is given by the ODE
Given that
, we find that
so that the amount of salt in the tank is described by
The tank will be filled when
, or after
minutes. At this time, the amount of salt in the tank is
