Opposite sides of a parallelogram are congruent.
3x+ 2= 4x-3
Subtract 3x from both sides
2= x -3
Add 3 to both sides
5= x
2y+7=4y-9
Subtract 2y from both sides
7= 2y -9
Add 9 to both sides
16 = 2y
Divide by 2 on both sides
8 = y
Answer:
- a) $56000
- b) DA = 2, GA = 10
Step-by-step explanation:
<u>Given</u>
- DA = A + B ⇒ $3000
- GA = A + 2B ⇒ $5000
- Number of A = 12
- Number of B = 22
<u>We can see from the equations that</u>
- GA - DA = B ⇒ $2000 and
- A = $1000 and B = $2000 in terms of profit
<u>So greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.</u>
Is the equation set to indicate use of the units A and B
<u>Solving we get </u>
<u>It this case all the units are used and profit is maximum</u>
- 2*$3000 + 10*$5000 = $56000
- Number of DA = 2
- Number of GA = 10
First draw p yellow = 4/7
2nd draw p red = 3/7
3rd draw p red = 3/7
To find the probability of this event (1yellow 2 red - with replacement) we multiply the probabilities.
4/7 x 3/7 x3/7 = 36/343 which cannot be reduced further
Answer: 2005
Step-by-step explanation:
Exponential function to determine the value of item after t years,
, where r= rate of growth, A=Initial value.
As per given , A = 7.85% = 0.0785
A = $125,000
Substitute all values in function, we get
When f(x)= 3A , then
Taking tog on both sides , we get
The year will be 1990+15= 2005
Hence, the required year = 2005
Sorry it's wrong the correct answer is 5.
3 5
-- ÷ ----
1 3
cross out the 3's
5
-- ÷ ----
1
