Answer:
A = P ( 1+ r )^t ... Compound Interest
I = Prt ... Simple interest
Let t and s represent the masses of 20% and 60% alloys respectively.
t+s=80, s=80-t
(0.2t+0.6s)/80=0.52 multiply both sides by 80
0.2t+0.6s=41.6, now using s=80-t in this equation gives us:
0.2t+0.6(80-t)=41.6 perform indicated multiplication on left side
0.2t+48-0.6t=41.6 combine like terms on left side
-0.4t+48=41.6 subtract 48 from both sides
-0.4t=-6.4 divide both sides by -0.4
t=16, since s=80-t
s=64
So 16kg of 20% alloy is mixed with 64kg of 60% allow to make 80kg of a 52% alloy.
Answer:
Step-by-step explanation:
Hello,
![2(x+3)^2-10\\=2[(x+3)^2-5]\\=2[(x+3)^2-(\sqrt{5})^2]\\\\=2[(x+3+\sqrt{5})(x+3-\sqrt{5})]](https://tex.z-dn.net/?f=2%28x%2B3%29%5E2-10%5C%5C%3D2%5B%28x%2B3%29%5E2-5%5D%5C%5C%3D2%5B%28x%2B3%29%5E2-%28%5Csqrt%7B5%7D%29%5E2%5D%5C%5C%5C%5C%3D2%5B%28x%2B3%2B%5Csqrt%7B5%7D%29%28x%2B3-%5Csqrt%7B5%7D%29%5D)
Hope this helps
Answer:
-3
Step-by-step explanation:
5x³ + 2 , when x = -1
5(-1)³ + 2
= -5 + 2
= -3
