Answer:
The answer is "Option C"
Step-by-step explanation:
The using formula
→r = rate
→ n = compounded value
In choice a:
When compounded is monthly


In choice b:
When compounded is quarterly

In choice c:
Whenn compounded is daily 

In choice d:
When compounded is semiannually

Answer:
C or d
Step-by-step explanation:
Answer:
a) In other words, the equation 3x4−8x3+2=0 has a root in [2,3]
b) x≈2.630020
Step-by-step explanation:
The correct answer is the option D, which is: <span>D. 78 cm; 39 cm; 30.3π cm
The explanation is shown above:
1-The formula for calculate the circumference of a circle is:
C=2</span>πr
78π=2πr
2- The radius is:
r=78π/2π
r=39 cm
3- The diameter is:
D=39 cm x 2
D=78 cm
4- The arc length is:
arc length=(140°π/180°)(39 cm)
arc length=30.3π cm
You know 1 is not a root because the sum of the coeffcients of the equation is 14, not zero.
It is fairly easy to try 3 by synthetic division (see attachment), which tells you that 3 is a root and the remaining quadratic factor is x²-3x-5. The quadratic formula tells you the roots of that factor are
... x = (-b±√(b²-4ac))/(2a) = (3±√29)/2
The appropriate choices are
... C. (3-√29)/2
... D. (3+√29)/2
... F. 3
_____
The quadratic formula tells you the solution to
... ax²+bx+c=0
is x = (-b±√(b²-4ac))/(2a)
We have a=1, b=-3, c=-5.