Answer:
The curve is given by r(s)=
Step-by-step explanation:
The aec length of the curve is given by:
L=
r(t) = 3t i + (7 − 4t) j + (3 + 2t) k
r'(t)= 3 i -4 j + 2 k
|r'(t)|= 
L=
L=
s(t)=
We have to obtain t in terms of s, hence:
t=
Finally,
r(s)=
9514 1404 393
Answer:
19 years
Step-by-step explanation:
The compound interest formula tells you the future value of principal P invested at annual rate r compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
Solving for t, we get ...
t = log(A/P)/(n·log(1 +r/n))
Using the given values, we find t to be ...
t = log(2.13022)/(4·log(1 +0.04/4)) ≈ 19.000
The investment will be worth $213,022 after 19 years.
Answer:
10c ≥ 150
At least 15 cars (or c ≥ 15)
Step-by-step explanation:
If she gets $10 for every car she washes a car then 10c is the rate of her gaining money and she needs at least (greater than or equal to) $150.
This equation can be used to express the situation:
10c ≥ 150
<em>To solve you divide the 10 from both sides of the inequality to get.</em>
c ≥ 15
Answer:
26
Step-by-step explanation:
Since the input is -4, x = -4. The equation then is y = -7(-4) -2
A negative times a negative is a positive, so -7 times -4 is 28.
Now the equation reads y = 28 - 2
Then obviously you just subtract the two and then you get 26.
