Answer:
Step-by-step explanation:
s = n(a + 1)
n(a + 1) = s
a + 1 = s/n
a = s/n - 1
Answer:
D
Step-by-step explanation:
We start at the origin (we the axis cross)
We go three units to the right, then 5 units down.
We end up at the point D
Answer:
x=y=z=90.
Step-by-step explanation:
let the 3 numbers be x,y,z.
let s be sum
s=x+y+z
we need to maximize xy+yz+zx
or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)
Use Lagrange's Multipliers
⇒ΔP= λΔS
⇒
⇒y=x
⇒\frac{x+z}{x+y} =1
⇒z=y
⇒x=y=z
⇒3x = 270
⇒x= 90
hence, x=y=z=90.
9514 1404 393
Answer:
- 5000 shares of stock fund
- 6000 shares of bond fund
Step-by-step explanation:
Let b represent the number of shares of the bond fund owned. Then the value of the pension fund is ...
15b +12(11000-b) = 150000
3b = 18000 . . . . . . . . . . subtract 130,000
b = 6000 . . . . . . . . . shares of bond fund
11000 -b = 5000 . . . shares of stock fund
44 square inches :) you add all of the sides together. You also have to find the sides that weren’t listed.