Answer:
x₁ = -4
x₂ = 3
Step-by-step explanation:
x²+ x + 12 = 0
x = {-1±√((1²)-(4*1*-12))} / (2*1)
x = {-1±√(1+48)} / 2
x = {-1±√49} / 2
x = {-1±7} / 2
x₁ = {-1-7} / 2 = -8/2 = -4
x₂ = {-1+7} / 2 = 6/2 = 3
Check:
x₁
-4² + (-4) - 12 = 0
16 - 4 - 12 = 0
x₂
3² + 3 - 12 = 0
9 + 3 - 12 = 0
Answer:
The % growth rate is 15.8%.
Step-by-step explanation:
Let the function is given by
, where f(w) is the number of a specific product produced after w weeks.
Now, given for w = 0, f(0) = 190 = a
So, the function becomes
............. (1)
Now, it is also give that at w = 1, f(1) = 220.
So, from equation (1) we get,

⇒ b = 1.15789.
Now, b = 1 + r
⇒ 1.15789 = 1 + r
⇒ r = 0.15789
Therefore, the % growth rate is 0.15789 × 100% = 15.8% (Approx.)
Step-by-step explanation:
letπ be the percentage of her savings
=40+85
=125
=125+π=100
=π=100-125
=π=75