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AysviL [449]
3 years ago
10

Colin buys a tv for £740. It depreciates at a rate of 4% per year. How much will it be worth in 5 years? Give your answer to the

nearest penny where appropriate.
Mathematics
1 answer:
Elenna [48]3 years ago
4 0

Given :

Colin buys a tv for £740. It depreciates at a rate of 4% per year.

To Find :

How much will it be worth in 5 years.

Solution :

Decrease in price in 1 year is :

P = P_o- P_o\times 0.04\\\\P = 0.96P_o

So, decrease in price after x years is :

P = (0.96)^x P_o

Putting value of x and P_o in above equation, we get :

P = 0.96^5\times 740\\\\P = \£\ 603.38

Therefore, the worth of T.V after 5 years is £603.38 .

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Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1>3 SUVs per month, where t is time in mon
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The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

S'(t)=-24^{1/3} SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given S'(t)=-24^{1/3} ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from S'(t)=-24^{1/3}

\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\

On Integrating both sides

S(t)=-18t^{4/3}+c ~...~...~(2)

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

\thereforefrom eq (2)

S(t)=-18t^{4/3}+1200 ~...~...~(3)

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) 300=-18t^{4/3}+1200

t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030

Hence the company will continue 18.8020 months.

Learn more about integration here-

brainly.com/question/18125359

#SPJ10

8 0
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A pair of parallel lines is cut by a transversal, as shown (see figure):
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The answer
let p' be the corresponding angle of the angle p (that is because of the prallelism and the transversal, look the image)
but p' and p are correspondant angles implies p'=p,
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the answer is
<span>p = q</span>

 


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