98000*0.15 is how you would find out how much he has to pay for tax, which is 14700. since you didn't post plan b, this is all i can do.
For the scale factor, use the dimensions from similar sides:
Using 18 from the original image you would use 6 from the scaled image.
18 /6 = 3
This means the scaled image is 3 times smaller than the original. Because the scaled image is smaller divide 1 by the scale factor to get 1/3.
Q2:
The scale factor is 1 inch = 12 miles.
Multiply the total inches by 12:
6.5 x 12 = 78 miles.
Answer:
23%
Step-by-step explanation:
175 x 0.23 = 40.25
175-40.25 = 134.75
134.75 x 10% shipping = 13.48
134.75+13.48=148.23
Answer:
the answer is 2 + i.
Step-by-step explanation:
Let the square root of 3 + 4i be x + iy.
So (x + iy) (x +iy) = 3 +4i
=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i
=> x^2 – y^2 + 2xyi = 3 + 4i
Equate the real and complex terms
=> x^2 - y^2 = 3 and 2xy = 4
2xy = 4
=> xy = 2
=> x = 2/y
Substitute in
=> x^2 - y^2 = 3
=> 4/y^2 - y^2 = 3
=> 4 – y^4 = 3y^2
=> y^4 + 3y^2 – 4 = 0
=> y^4 + 4y^2 – y^2 – 4 =0
=> y^2(y^2 + 4) – 1(y^2 + 4) =0
=> (y^2 – 1) (y^2 + 4) =0
Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.
Therefore y = 1 and x = 2/1 = 2
The required square root of 3 + 4i is 2 + i.
Answer:
0.19975
Step-by-step explanation:
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
Given:
n = 11
r = 9
p = 0.7
q = 0.3
Plugging in values:
P = ₁₁C₉ (0.7⁹) (0.3¹¹⁻⁹)
P = 0.19975