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
maks197457 [2]
3 years ago
15

At time t=0 hours a tank contains 3000 litres of water .

Mathematics
2 answers:
Degger [83]3 years ago
8 0

Answer:

At t=0, Volume of Water = V_{0} = 3,000 Litre

After t hours , the Volume of water in the tank = V_{1}

As it is also given , At the end of every hour there is a x% less water in the tank then at the start of the hour

V_{1} = Amount of water after an hour = 3,000 - 3,000 \times \frac{x}{100} = 3,000 - 30 x

V_{2} = Amount of water after two hour =(3,000 - 30 x) - (3,000 - 30 x)×\frac{x}{100}= (3,000 - 30 x)(\frac{100 - x}{100})

Also, V_{2} = 2881.2

⇒(3000 - 30 x)(100 -x) = 288120

⇒300000 - 3000 x - 3000 x + 30 x²  = 288120

⇒ 30 x ² - 6,000 x + 11880= 0

Dividing both sides by 30, we get

⇒ x² - 200 x + 396=0

Factorizing the quadratic expression

(x -198)(x-2) = 0

x = 198, x = 2

⇒ Which gives a value of x = 2 as a possible solution of this equation.

Also, V_{1} = k ^1 V_{0}

k = \frac{V_{1}}{V_{0}}

V_{1} = 3,000 - 30 \times 2 = 3,000 - 60= 2,940

k = \frac{2940}{3000}= 0. 999.......(non terminating repeating)

k= 0.999 (approx)



goldfiish [28.3K]3 years ago
7 0

Finding x:

v^2=2881.2

2881.2=3000(1-x)^2

2881.2/3000=(1-x)^2=0.9604

1-x=0.098

x=2%

Finding k:

v^2=k^2*3000

2881.2=k^2*3000

k^2=0.9604

k=0.98

You might be interested in
Please help i need the answer asap
Sav [38]

i do not understand what you are asking help for?

3 0
2 years ago
Please help me and answer all three parts.
9966 [12]

Answer:

A. 13

B. 58

C. 122

I hope this is correct and im sorry if it isn't.

7 0
3 years ago
Daniels mom started a college savings account for him when he was born.she opened the account with $5 and planned to deposit $10
Tanzania [10]

Answer:

m(x) = 5 + 100x

Step-by-step explanation:

Let m(x) be the balance of the account after x months.

m(x) = 5 + 100x

8 0
3 years ago
A noble gas is least likely to...
ivanzaharov [21]

Answer:

a

Step-by-step explanation:

8 0
2 years ago
Through (8,6) with a slope of 3/2
MakcuM [25]

Answer:

⇒y=32x+18

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Identify the horizontal asymptote of f(x) = quantity x squared plus 5 x minus 3 over quantity 4 x minus 1
    12·1 answer
  • How to solve natural log equations without a calculator?
    12·2 answers
  • I need help please solve
    12·1 answer
  • How would a scale factor of 0.25 be used to determine the lengths of the original figure?
    14·1 answer
  • Which number is equivalent to –(–2)?
    11·2 answers
  • I NEED ANSWER ASAP WILL GIVE BRAINLIEST(WORTH 30 POINTS)
    5·1 answer
  • Whats 10x10x1+10+1+100?
    9·2 answers
  • If a pair of linear equations is consistent, then the lines will be
    11·1 answer
  • Can someone tell me the answer for this <br><br><br> I got this wrong on my first attempt ._.
    8·1 answer
  • A new bank customer with ​$3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.6​%.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!