Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Amount Noah borrowed from his mother = $17
Amount paid = $8
Change in the amount of money Noah's mother has :
Let initial amount her mother has = x
Hence, the amount she has after Noah paid $8 to her will be :
Initial amount - amount borrowed + amount paid
= x - $17 + $8.
The simplified amount = x - $9
The amount Noah still owes :
Total amount owed - amount paid
$17 - $8 = $9
Answer:
30.2 aka C
Step-by-step explanation:
The formula for the area of a circle is A = pir^2. Knowing this we can create the equation A = 3.14(3.1)^2. Following PEMDAS square 3.1 to get 9.61. Then you multiply 9.61 with 3.14 to get 30.1754. When you round to the nearest tenth you get 30.2.
Answer:
k = 44
Step-by-step explanation:
k/4 + 3 = 14
k/4 = 11
k = 44
Answer:
(6^⅕) (cos(-24°) + i sin(-24°))
Step-by-step explanation:
First, we convert from Cartesian to polar:
r = √((-3)² + (-3√3)²)
r = √(9 + 27)
r = 6
θ = atan( (-3√3) / (-3) ), θ in the third quadrant
θ = atan(√3)
θ = 240° + 360° k
Notice that θ can be 240°, 600°, 960°, etc.
Therefore:
-3 − 3√3 i = 6 (cos(240° + 360° k) + i sin(240° + 360° k))
Now we take the fifth root:
[ 6 (cos(240° + 360° k) + i sin(240° + 360° k)) ]^⅕
(6^⅕) [ (cos(240° + 360° k) + i sin(240° + 360° k)) ]^⅕
Applying de Moivre's Theorem:
(6^⅕) (cos(⅕ × 240° + ⅕ × 360° k) + i sin(⅕ × 240° + ⅕ × 360° k))
(6^⅕) (cos(48° + 72° k) + i sin(48° + 72° k))
If we choose k = -1:
(6^⅕) (cos(-24°) + i sin(-24°))