Answer:
252
Explanation:
An equation to represent the situation is:
17.5% * 1440
convert 17.5% into a decimal:
0.175
and then solve:
0.175 * 1440 = 252
Step-by-step explanation:
For example, in order to multiply 832,000 by 0.00035, one converts first to scientific notation as follows: (832,000)×(0.00035)=(8.32×10 5)×(3.5×10 −4)=8.32×3.5×10 5×10 −4=29.12×10 1=2.912×10 2 (in scientific notation) or 291.2 (in ordinary notation).
A] if .8=1 liter water, then .2=(1/4)(1)=.25 milk-->1.25liters in total
B] .25 liters
The formula for continuous compounding is given by
A = P.
where P is the initial or principal amount = $40,000
A is the amount at the end =$ 110,000
r is the rate of interest = 6% = 0.06
t is the time = the value we need to find
lets plug in the values
㏑(2.75) = ㏑[]
㏑(2.75) = 0.06t
t= 16.86 years
The time taken for $40000 to amount to $110000 is 16.86 years
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.