This looks complicated
lets simplify both sides
By multiplying top and bottom by the conjugate:-
left side = (5-3i)(x + iy) (4+5i) (5-3i)(x + iy) (4+5i)
------------------------ = ------------------------
(4-5i)(4+5i) 41
right side = (2 + i + 3-4)(2+i - 3 + 4i) (by Difference of 2 squares)
= 5-3i)(-1 + 4i)
so as left side = right side
(5-3i)(x+yi)(4+5i) = 41 (5-3i)(-1+5i)
5-3i is common so:-
(x + iy)(4+5i) = 41(-1+5i)
4x +5xi + 4yi - 5y = -41 + 205i
4x - 5y + (5x + 4y)i = -41 + 205i
EQuating coefficients we are left with the system of equations
4x - 5y = -41
5x + 4y = 205
solving this gives x = 21 and y = 25
Answer:
2 years and 6 months
Step-by-step explanation:
4000 * 0.02 = 80
80 * 2.5 = 200
Step-by-step explanation:
(4.4)^2 = b^2 + (2)^2
(4.4)^2 - (2)^2 = b^2
root 19.36 - 4 = b
root 15.36 = b
8 root 6/5 (8 root 6 divided by 5) = b
Area of the parallelogram = b × h
= (8 root 6 divided by 5) × 4.4
= 17.24440779 cm^2
The amount of money after 22 years will be calculated using the formula:
A=p(1+r/100)^n
where:
p=$350
r=6.5%
n=22 years
thus'
A=350(1+6.5/100)^22
A=$1,398.8
This means that a total of (1,398.8-350)=$1048.81, the account will have a balance of $1,398.8 after 22 years.
Answer:
a.) f(2) = 3
b.) if f(x) = 2
x=3
Step-by-step explanation:
Here you must notice that on the graph where x is 2, y or f(x) is at 3. This means that the answer where in the function of x, where the input 2, the output or y/f(x) is 3
And if the output is 2, the input is 3 as proven above.
