Answer:
I think its b
Step-by-step explanation:
We'll need to assume that this is a case of compound interest which is paid once per year.
Then A = P (1 + r)^t becomes
$737.50 = $500 (1+0.095)^t
Then ($737.50/$500) = 1.095^t
Take the log of both sides. 0.1688 = log 1.095^t, or
0.1688 = t log 1.095 = t(0.0394)
Solving for t, t = 0.1688/0.0394 = 4.28 years
This comes out to 4 years and 28/100 of one year,
or 4 years and 3.36 months, or
4 years, 3 months and 11 days.
Answer:
1/10
Step-by-step explanation:
P(blue picked) = 8/20 = 2/5
P(green picked with replacement) = 5/20 = 1/4
P(blue, then green) = (2/5)(1/4) = 1/10
Answer:
1 hour 24 minutes
Step-by-step explanation:
49/35=1.4
(a) Use u = -∇z(2, 5)/||∇f(2, 5)||
= -<-4x, -4y>/||<-4x, -4y>|| {at (2, 5)} <span>
= <8, 20>/√((-8)^2 + (-20)^2)
<span>= <2, 5>/√29
(b) Du f(2, 5) = ∇z(2, 5) · u </span><span>
= ∇z(2, 5) · -∇z(2, 5)/||∇f(2, 5)|| </span><span>
= -||∇z(2, 5)||^2 / ||∇f(2, 5)|| </span><span>
= -||∇z(2, 5)|| </span><span>
<span>= -4√29</span></span></span>
