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Anit [1.1K]
3 years ago
5

What’s the probability of it raining in December

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0
I honestly don’t know since it’s past December, but it didn’t rain very much, probably since it was so cold.
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An executive invests $26,000, some at 8% and some at 6% annual interest. If he receives an annual return of $1,860, how much is
S_A_V [24]
Let x = amount invested at 8%
 26000 - x = amount invested at 6%

0.08x + 0.06(26000 - x) = 1860

solving the equation you get x = 15000
and subtract that from 26000 you get 11000
8% investment = 15000
6% investment = 11000
5 0
3 years ago
show that thw roots of the equation (x-a)(x_b)=k^2 are always real if a,b and k are real. Please I really need help with this
VLD [36.1K]

Answer:

see explanation

Step-by-step explanation:

Check the value of the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then roots are real

• If b² - 4ac = 0 roots are real and equal

• If b² - 4ac < 0 then roots are not real

given (x - a)(x - b) = k² ( expand factors )

x² - bx - ax - k² = 0 ( in standard form )

x² + x(- a - b) - k² = 0

with a = 1, b = (- a - b), c = -k²

b² - 4ac = (- a - b)² + 4k²

For a, b, k ∈ R then (- a - b)² ≥ 0 and 4k² ≥ 0

Hence roots of the equation are always real for a, b, k ∈ R


           

8 0
3 years ago
What is the sum of a 56-term arithmetic sequence where the first term is 6 and the last term is 391?
Sati [7]
S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=6;\ n=56;\ a_{56}=391\\\\subtitute\\\\S_{56}=\dfrac{6+391}{2}\cdot56=\dfrac{397}{2}\cdot56=397\cdot28=11,116
7 0
3 years ago
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Given then function f(x) =3(x+2)-4 solve for the inverse function when x=2
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F(x) (or y)=8

PEMDAS helps

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Answer:

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Step-by-step explanation:

8 0
2 years ago
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