1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wariber [46]
2 years ago
11

Oliver deposits $1,000 in his Interest-bearing bank account. The balance increases by %15 each month

Mathematics
1 answer:
Volgvan2 years ago
5 0

Step-by-step explanation:

Oliver deposits P= $1,000

Then total amount A after n months given that the balance increases by %15 each month can be calculated as

A= 1000(1+15/100)^n

Assuming the increase in amount is compounded monthly.

You might be interested in
Factor the expression. x2-x-6​
lisabon 2012 [21]

Answer:

(x+2)⋅(x−3)

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the place value of 7 in 3.567
devlian [24]
The thousandth
there you go bud
7 0
3 years ago
Read 2 more answers
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
tresset_1 [31]

Because I've gone ahead with trying to parameterize S directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.

Rather than compute the surface integral over S straight away, let's close off the hemisphere with the disk D of radius 9 centered at the origin and coincident with the plane y=0. Then by the divergence theorem, since the region S\cup D is closed, we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec F)\,\mathrm dV

where R is the interior of S\cup D. \vec F has divergence

\nabla\cdot\vec F(x,y,z)=\dfrac{\partial(xz)}{\partial x}+\dfrac{\partial(x)}{\partial y}+\dfrac{\partial(y)}{\partial z}=z

so the flux over the closed region is

\displaystyle\iiint_Rz\,\mathrm dV=\int_0^\pi\int_0^\pi\int_0^9\rho^3\cos\varphi\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=0

The total flux over the closed surface is equal to the flux over its component surfaces, so we have

\displaystyle\iint_{S\cup D}\vec F\cdot\mathrm d\vec S=\iint_S\vec F\cdot\mathrm d\vec S+\iint_D\vec F\cdot\mathrm d\vec S=0

\implies\boxed{\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=-\iint_D\vec F\cdot\mathrm d\vec S}

Parameterize D by

\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec k

with 0\le u\le9 and 0\le v\le2\pi. Take the normal vector to D to be

\vec s_u\times\vec s_v=-u\,\vec\jmath

Then the flux of \vec F across S is

\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^9\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_u\times\vec s_v)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^9(u^2\cos v\sin v\,\vec\imath+u\cos v\,\vec\jmath)\cdot(-u\,\vec\jmath)\,\mathrm du\,\mathrm dv

=\displaystyle-\int_0^{2\pi}\int_0^9u^2\cos v\,\mathrm du\,\mathrm dv=0

\implies\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\boxed{0}

8 0
3 years ago
FREE POINTS
Nonamiya [84]
2 please pick me!!!!
5 0
3 years ago
Read 2 more answers
Is this right???<br><br> I give Brainliest !
ratelena [41]

Answer:

It is right

Step-by-step explanation:

good job whatever your name is! you are very smart

5 0
2 years ago
Other questions:
  • 2. Find the distance between M(1,-2) and N (9, 13).
    5·1 answer
  • What 17 multiply and adds to get -2
    14·2 answers
  • Find the midpoint of the line segment joining the points (-1,-2) and (-3,13)
    6·1 answer
  • Find the slope of the line that passes through (66, 6) and (27, 96).
    10·1 answer
  • How many sides does a 1,260 degree polygon have?
    8·1 answer
  • The table shows Mitch’s record for the last thirty par-3 holes he has played.
    7·1 answer
  • Hey there! I know this is prob really simple and I am beginning to understand it, but my problem is
    13·1 answer
  • A student wants to prove that the base angles of an isosceles triangle are congruent. The student draws isosceles triangle ABC w
    5·1 answer
  • A cone has height h and a base with radius r. You want to change the cone so its
    6·1 answer
  • 39HF36/15GFind the value of I. Write the answer as a fraction in simplest form or a decimal rounded to the nearesthundredth.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!