Answer:
The distance between the two points is 10.63015
D=10.63015
Answer:
A. 14
Step-by-step explanation:
we subtract 200.39 from our total cost, which gives us 1,079.54 and then we divide by the amount she earns a week, 77.11. to get 14. it will take riley 14 weeks to have enough money to get the television.
Answer:
- A(0) = 2; A'(t) = 6 - 0.08A(t)
- A(∞) = 75
Step-by-step explanation:
The initial value is said to be 2 pounds, so A(0) = 2.
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The influx is (1.5 #/gal)×(4 gal/min) = 6.0 #/min.
The outflow is (4 gal)/(50 gal) × A(t) = 0.08A(t).
The rate of change of A(t) is then ...
A'(t) = 6 - 0.08A(t)
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When the system reaches steady state, A'(t) = 0, so ...
0 = 6 - 0.08A(∞)
A(∞) = 6/0.08 = 75
75 pounds of salt will be in the tank after a long period.
Answer:$24167
Step-by-step explanation: Without commission Norma makes $875 a week. Subtract that from 4500 to get 3625 you then divide that by .15 to get the amount needed to sell which is $24167
Given that the concentration of salt in a 125 ml of salt solution is 20%, this means that the ratio of salt to water in the solution is 20 : 80 = 1 : 4.
Thus, the amount of salt in the 125 ml 20% salt solution is given by 20% of 125 = 0.2 x 125 = 25ml and the amount of water in the 125ml 20% salt solution is 125 - 25 = 100 ml.
When 25 ml of water is added to the 125 ml 20% salt solution, the new amount of water is 100 + 25 =125 and the amount of salt remain 25 ml.
Thus, the new volume of the solution is 125 + 25 = 150 ml and the proprtion of salt in the new solution is given by 25 / 150 = 0.1667
Therefore, the concentration of a new solution <span>obtained by mixing 25ml of water with 125ml of a 20% salt solution in water is 16.67%</span>