250=100%
25=10%
12.5=5%
2.5=1%
25*8=200(80%)
12.5+2.5=15(6%)
200+12=215(86%)
250+200=450(186%)
so 450ml is your answer
Hope this helped :)
3x=x+3 2x=3 x=3/2
Move x terms to one side, then solve
Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit
Answer:
Δ MLP ~ Δ HKG
By S-A-S similarity Postulate.
Step-by-step explanation:
Given:
In Δ MLP
MP = 20 ,
LP = 15
∠ P = 42°
In Δ HKG
HG = 16 ,
KG = 12
∠G = 42°
To Prove:
Δ MLP ~Δ HKG
Proof:
In Δ MLP and Δ HKG
..........( 1 )
..............( 2 )
∴ 
...From 1 and 2
∠P ≅ ∠ G = 42° ...............Given
∴ Δ MLP ~Δ HKG ......{ By S-A-S similarity test}............Proved
Answer: 26 pieces of $1 bill and 34 pieces of $5 bill
Total Deposit = $196
Total Bills = 60 pieces
Value of $1 = $1
Value of $5 = $5
Lets assume all the 60 pieces were $1 bill.
The total deposit will be 60 x $1 = $60
But we know that the total deposit is $196. So the extra value must have come from the $5.
$196 - $60 = $136
There is still an outstanding amount of $136 not accounted for.
$5 - $1 = $4
The difference in the two bills is $4
Now we can find out the number of $5 bill by dividing the extra $136 by 4:
136 ÷ 4 = 34 pieces
There are 34 pieces of $5 bill.
Since there are 34 pieces of $5, the rest must be the $1 bill
60 - 34 = 26
There are 26 pieces of $1 bill.
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Answer: 26 pieces of $1 bill and 34 pieces of $5 bill.
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