Q: A certain type of nuts are on sale at $0.35 . Tamara buys 0.2 pounds of nuts . How much will the nuts cost
A: $1.75 simply type in “.35 divided by .2” this will give you one dollar and seventy-five cents
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If

is the component for state

, then you have

which means

. So the state vector is

.
Answer:
2a + 7
Step-by-step explanation:
-3a + 7 +5a
<em>subtract the negative 3 from the 5</em>
2a + 7
Answer:
$27,643
Step-by-step explanation:
The net present value is the present value of after tax cash flows from an investment less the amount invested.
The formula for the NPV can be found in the attached image.
The NPV can be found using a financial calculator:
The cash flow for year zero = $-36,000
Cash flow from year one to three = $19,000
Cash flow for year four =$19,000 + $5,000 = $24,000
I = 10%
NPV = $27,643
I hope my answer helps you
Answer:
Eq: (x+a/2)²+(y+1)²=(a²-8)/4
Center: O(-a/2, -1)
Radius: r=0.5×sqrt(a²-8)
Mandatory: a>2×sqrt(2)
Step-by-step explanation:
The circle with center in O(xo,yo) and radius r has the equation:
(x-xo)²+(y-yo)²=r²
We have:
x²+y²+ax+2y+3=0
But: x²+ax=x²+2(a/2)x+a²/4-a²/4= (x+a/2)²-a²/4
And
y²+2y+3=y²+2y+1+2=(y+1)²+2
Replacing, we get:
(x+a/2)²-a²/4+(y+1)²+2=0
(x+a/2)²+(y+1)²=a²/4-2=(a²-8)/4
By visual inspection we note that:
- center of circle: O(-a/2, -1)
- radius: r=sqrt((a²-8)/4)=0.5×sqrt(a²-8). This means a²>8 or a>2×sqrt(2)