Given Information:
Years = t = 35
Semi-annual deposits = P = $2,000
Compounding semi-annually = n = 2
Interest rate = i = 6.5%
Required Information
Accumulated amount = A = ?
Answer:
Accumulated amount = $515,827
Step-by-step explanation:
The future value of amount earned over period of 35 years and interest rate 6.5% with semi-annual deposits is given by
FV = PMT * ((1 + i/n)^nt - 1)/(i/n))
Where
n = 2
i = 0.065
t = 35
FV = 2000*((1 + 0.065/2)^2*35 - 1)/(0.065/2))
FV = 2,000*(257.91)
FV ≈ $515,827
Therefore, Anthony will have an amount of $515,827 when he retires in 35 years.
We want 10% = 0.1 = $10
Then to work out 100% we divide $10 by 0.1
$10/0.1 = $100
Answer: Graph shifts 4 units to the left
Explanation:
I'm assuming you meant to say y = |x+4|
If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.
Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|
Alan will make $28.50 from 5 large necklaces and $15.30 from 3 small necklaces. $43.80 in total :)
