Annual growth rate is (1+0.15)^12. or 5.35025 or 535.025%
Answer:
(x - 3)(x - 9i)(x + 9i)
Step-by-step explanation:
note that x = 3 gives
3³ - 3(3)² + 81(3) - 243 = 27 - 27 + 243 - 243 = 0, hence
x = 3 is a root and (x - 3) is a factor
x³ - 3x² + 81x - 243 ÷ (x - 3)
= (x - 3)(x² + 81)
solve x² + 81 = 0 ⇒ x² = - 81 ⇒ x = ± 9i, thus
x³ - 3x² + 81x - 243 = (x - 3)(x - 9i)(x + 9i) ← in factored form
Answer:
Step-by-step explanation:
Look at the image
Let the two numbers be x and y
x/y=3/4
Therefore x=3z
y=4z, where z is the GCF of x and y
(3z+k)/(4z+k)=4/5
(3z+k)*5=(4z+k)*4
15z+5k=16z+4k
k=z--->eq1
3z+k+4z+k=117
7z+2k=117--->eq2
Using value of z from eq1 in eq2
7k+2k=117
k=117/9
=13
