Given that
z₁ = 15 (cos(90°) + i sin(90°))
z₂ = 3 (cos(10°) + i sin(80°))
we get the quotient z₁/z₂ by dividing the moduli and subtracting the arguments:
z₁/z₂ = 15/3 (cos(90° - 10°) + i sin(90° - 10°))
z₁/z₂ = 5 (cos(80°) + i sin(80°))
so that z₁ is scaled by a factor of 1/3 and is rotated 10° clockwise.
Answer: 11
Step-by-step explanation: plug in 4 for x
3(4) - 1 = 12 - 1 = 11
The domain and range of g are "all real numbers," so you want to find the range of f when its argument is from the set "all real numbers." That range is y > 0. The appropriate choice is
D. domain: all real numbers; range: y > 0
Answer:
$25,740
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 23400 × 0.05 × 2 = 2340
I = $ 2,340.00
The simple interest accumulated
on a principal of $ 23,400.00
at a rate of 5% per year
for 2 years is $ 2,340.00.
Answer:
Step-by-step explanation:
10+18+25+27+35+50=165
n=6
mean =165/6=27.5
x x- mean (x-mean)²
10 -17.5 306.25
18 -9.5 90.25
25 -2.5 6.25
27 -0.5 0.25
35 7.5 56.25
50 22.5 506.25
_____ ________
sum 0 965.5
_____ _________
standard deviation
