Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
W^-3
(4)^-3 = 1/(4)^3
1/64.
The solution is 1/64.
With annual compounding, the number of years for 1000 to become 1400 is 6.7 years
With continous compounding, the number of years for 1000 to become 1400 is 1.35 years
<h3>How long would it take $1000 to become $1,400?</h3>
With annual compounding, the formula that would be used is:
(In FV / PV) / r
Where:
- FV = future value
- PV = present value
- r = interest rate
(In 1400 / 1000) / 0.05 = 6.7 years
With continous compounding, the formula that would be used is:
(In 1400 / 1000) / (In e^r)
Where r = interest rate
((In 1400 / 1000) / (In e^0.05) = 1.35 years
To learn more about how to determine the number of years, please check: : brainly.com/question/21841217
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Answer:
choice 1) 37.68 inches
Step-by-step explanation:
3.14 x 12 = 37.68
Answer:
72°
Step-by-step explanation:
Let the 2 equal angles be x then the third angle is x + 18
The sum of the 3 angles in a triangle = 180°, thus
x + x + x + 18 = 180, that is
3x + 18 = 180 ( subtract 18 from both sides )
3x = 162 ( divide both sides by 3 )
x = 54
Hence
the largest angle = x + 18 = 54 + 18 = 72°