Answer:
Step-by-step explanation:
In the argand plane for plotting points of complex numbers we take i coefficient as x and j coefficient as y and plot as we plot regular points on the graph.
v=3i+2j
Point is (3,2) A
w =2i+3j , Point is (2,3) B
v+w = 5i +5j Point is (5,5) C
2w = 4i+6j , point is (4,6)
v-w = i-j Point (1,-1)
Please find enclosed the above points plotted on the graph.
Answer:
"To the nearest year, it would be about 9 years"
Step-by-step explanation:
11c)
This is compound growth problem. It goes by the formula:
Where
F is the future amount
P is the present (initial) amount
r is the rate of growth, in decimal
t is the time in years
Given,
P = 20,000
r = 8% = 8/100 = 0.08
F = double of initial amount = 2 * 20,000 = 40,000
We need to find t:
To solve exponentials, we can take Natural Log (Ln) of both sides:
Using the rule shown below we can simplify and solve:
We can write:
To the nearest year, that would be about 9 years