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anygoal [31]
2 years ago
10

Colin buys a car for £42800. It depreciates at a rate of 5% per year. How much will it be worth in 2 years? Give your answer to

the nearest penny where appropriate.​
Mathematics
1 answer:
11111nata11111 [884]2 years ago
7 0

Principal=₹42800

Rate of interest=5% but 2 years so multiply by 2 =5×2=10%

Time=2 years

Simple interest=42800×10×2/100= ₹8560

Amount=42800+8560=Rs51360

The answer is ₹ 51360

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G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =
Svetach [21]
Presumably you should be doing this using calculus methods, namely computing the surface integral along \mathbf r(u,v).

But since \mathbf r(u,v) describes a sphere, we can simply recall that the surface area of a sphere of radius a is 4\pi a^2.

In calculus terms, we would first find an expression for the surface element, which is given by

\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv

\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k
\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j
\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k
\implies\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|=a^2\sin u

So the area of the surface is

\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u
=-2\pi a^2(\cos\pi-\cos 0)
=-2\pi a^2(-1-1)
=4\pi a^2

as expected.
6 0
3 years ago
-7 times -8? -40 divided by 10?
alekssr [168]
-7 times -8 is 56 and -40 divided by 10 is -4
4 0
3 years ago
according to survey conducted by the texas free press,125 out of 500 people do nat have internet access at their homes.what perc
Bond [772]

Answer:

25%

Step-by-step explanation:

125:500

               divide by 5 to make 500 into 100

25:100

             convert to percent

25%

3 0
3 years ago
The school that Amanda goes to is selling tickets to a spring musical. On the first
olya-2409 [2.1K]

Answer:

Senior citizen ticket: $3

Student ticket: $9

Explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

8 0
3 years ago
Did you ever free club is selling wrapping paper for a fundraiser they order 16 cases if each student in the club takes two thir
omeli [17]
16=2/3 times number of students
times both sides by 3
48=2 times number of students
divide both sides by 2
24=number of students

there aer 24 students i the club
3 0
3 years ago
Read 2 more answers
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