x^2-9x-6=0
Use the quadratic formula to get (9+sqrt(105))/2 or (9-sqrt(105))/2
Let x = amount of 70% juice we use.
Then 60-x = amount of 85% juice we'll use.
We'll set up an equation that is based on how much pure juice comes from each component and how much we need in the final mixture.
So 70% of x plus 85% of (60-x) must equal 80% of 60, or...
0.7x + 0.85(60-x) = 0.8(60)
0.7x + 51 - 0.85x = 48
-0.15x + 51 = 48
-0.15x = -3
x = 20
Then 60 - x = 60 - 20 = 40
Check: 70% of 20 pints = 14 pints of pure juice.
85% of 40 pints = 34 pints of pure juice
That's 48 pints of pure juice in the mix, which matche 80% 0f 60 pints.
You'd need 20 pints of the 70% juice and 40 pints of the 85% juice.
Answer:
24
Step-by-step explanation:
4x+16 + 68 = 180
4x + 84 = 180
4x = 96
x = 24
The Answer: A = $ 13,421.56
Formula A=P(1 + r/n)^(nt) A=10000(1+0.059/12)^(12(5)) = $ 13,421.56
V = the future value of the investmentP = the principal investment amountr = the annual interest raten = the number of times that interest is compounded per yeart = the number of years the money is invested for
