Answer:
511 employees
Step-by-step explanation:
Given data
P=690
rate= 2%
time = 13 years
let us apply the simple interest formula
A=P(1-rt)
Note the negative sign (since we are dealing with decrease)
A= 690(1-0.02*13)
A=690(1-0.26)
A=690*0.74
A=510.6
A= 511 approx
Hence the population will reduce to 511 employees
Answer:
(14.1, 14.1)
Step-by-step explanation:
If the point (x,y) is on the line y=x, then it has coordinates (x,x).
Find the distances from this point to points (-6,2) and (10,-9):
- distance from (x,x) to (-6,2):
- distance from point (x,x) to (10,-9):
Equate these distances:
Square this equation:
So, the coordinates are (14.1, 14.1)
Answer:
(3 x + 5) (x + 5)
Step-by-step explanation:
Factor the following:
3 x^2 + 20 x + 25
Hint: | Factor 3 x^2 + 20 x + 25 by finding factors of 3×25 whose sum is 20.
Factor the quadratic 3 x^2 + 20 x + 25. The coefficient of x^2 is 3 and the constant term is 25. The product of 3 and 25 is 75. The factors of 75 which sum to 20 are 5 and 15. So 3 x^2 + 20 x + 25 = 3 x^2 + 15 x + 5 x + 25 = 5 (3 x + 5) + x (3 x + 5):
5 (3 x + 5) + x (3 x + 5)
Hint: | Factor common terms from 5 (3 x + 5) + x (3 x + 5).
Factor 3 x + 5 from 5 (3 x + 5) + x (3 x + 5):
Answer: (3 x + 5) (x + 5)
