9514 1404 393
Answer:
3
Step-by-step explanation:
For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...
f(x) = ((x -2)x -7)x +5
and ...
x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3
Then ...
f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5
= (3+2√3 -7)(2+√3) +5
= 2(√3 -2)(√3 +2) +5 = 2(3 -4) +5 = -2 +5
f(1/(2 -√3)) = 3
_____
If you really mean x = (1/2) -√3, then f(x) = (42√3 -3)/8.
Answer:
$1236.25
Step-by-step explanation:
We can convert the percentage to 0.075 to make it easier. Then, multiply 1150 by 1.075 to get 1236.25. We add the one because we need to include the initial $1150.
Answer:
$4,881.56
Step-by-step explanation:
The future value formula is ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
You have P=3300, n=12, r=0.028, t=14, so the future value is ...
FV = $3300(1 +0.028/12)^(12·14) = $4881.56
There would be $4881.56 in the account after 14 years.
Speed=distance / time ⇒ distance=time x speed
distance=d
time=t
speed= s
d=s*t
Distance traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours= 80 miles
Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt ⇒d=80+40t (1)
d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.
Distance traveled by Miranda.
data:
s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.
d=48 miles/hour * t ⇒d=48t (2)
With the equations (1) and (2), we make an system of equations:
d=80+40t
d=48t
We can solve this system of equation by equalization method.
80+40t=48t
80=48t-40t
80=8t
t=80/8=10
d=48t
d=48*10=480
Answer: the thistance will be 480 miles.
