Answer:

Step-by-step explanation:
we know that
The Euler's formula state that: In a polyhedron, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

in this problem we have

substitute the given values

solve for V
Combine like terms left side

Adds 6 both sides


0.07x = 35....with x being the cost of the stereo
Answer:
B) 90 degrees clockwise rotation
Hello!
The length and width are given.
We know the formula for calculating perimeter :

Let's solve!
- Perimeter = 2(123 + 17k + 24k - 49)
- Perimeter = 2(41k + 74)

∴ The perimeter is 82k + 148.
Let x be the amount of money, you fund in Fund A and y be the amount of mone yyou fund in Fund B.
1. You have 250,000 In an IRA at the time you retire and want to invest this money into Funds A and B, then

2. Fund A pays 1.2% (as a decimal 1.2% is 0.012) annually, then
is annual interest income in Fund A.
Fund B pays 6.2% (as a decimal 6.2% is 0.062) annually, then
is annual interest income in Fund B.
Since Fund A and Fund B produce an annual interest income of $8,000, then

3. Solve the system of equations:

Express x from first equation
and substitute it into the second equation

Multiply this equation by 1000:

Then

Answer: you have to fund $150,000 in Fund A and $100,000 in Fund B.