Answer:
Step-by-step explanation:
-5x - 8y = -3
5x + 9y = 3
y = 0
5x + 0 = 3
5x = 3
x = 3/5
(3/5, 0)
[ Answer ]
[ Explanation ]
Area Of Rectangle: Length * Width
2 4/5 * 1 1/5
=======================
Convert Fractions Into Mixed Numbers:
2 4/5 = 14/5
1 1/5 = 6/5
Multiply Across:
14 * 6
5 * 5
= 84/ 25
Simplify:
3 9/25
The radius of the circle is 3
Answer:
See below
Step-by-step explanation:
In the second step there should be (1 - cot x) instead of (1 + cot x)
(1 + tan x) [1 + cot(-x)]
= (1 + tan x) (1 - cot x)
= 1 - cot x + tan x - tan x cot x
= 1 - cot x + tan x - 1
= tan x - cot x
Answer:
City @ 2017 = 8,920,800
Suburbs @ 2017 = 1, 897, 200
Step-by-step explanation:
Solution:
- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:
0.94*p_c + 0.04*p_s = p_c'
0.06*p_c + 0.96*p_s = p_s'
- Assuming 6% moved while remaining 94% remained settled at the time of migrations.
- The matrix representation is as follows:
- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:
- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:
- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.
- Where,
- The population in 2017 x_2 would be: