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Katarina [22]
3 years ago
14

A certain radioactive isotope decays at a rate of 2% per 100 years. if t represents time in years and y represents the amount of

the isotope left then the equation for the situation is y=y0e-0.0002t . in how many years will there be 89% of the isotope left? round to the nearest year.
Mathematics
1 answer:
gregori [183]3 years ago
7 0
We rewrite the equation:
 y = y0 * e ^ (- 0.0002 * t)
 In this equation:
 I = represents the initial amount of the isotope
 We have then:
 89% of the isotope left:
 0.89 * y0 = y0 * e ^ (- 0.0002 * t)
 We clear the time:
 e ^ (- 0.0002 * t) = 0.89
 Ln (e ^ (- 0.0002 * t)) = Ln (0.89)
 -0.0002 * t = Ln (0.89)
 t = Ln (0.89) / (- 0.0002)
 t = 582.6690813
 round to the nearest year:
 t = 583 years
 Answer:
 
There will be 89% of the isotope left in about:
 
t = 583 years
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Meenu bought two fans for ₹1200 each. She sold one at a loss of 5% and the other at a profit of 10%. Find the selling price of e
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<h3><u>Solution: </u></h3>

Overall<u> </u>CP of each fan = ₹1200 .

One is sold at a loss of 5% .

  • ( This means if CP is ₹100, SP is ₹95 ) .

• Therefore,When CP is ₹1200 , Then SP is ₹ 1140.

=  >  \frac{95}{100}  \times 1200 = 1140

Also,Second fan is sold at a profit of 10% .

  • It means , If CP is ₹100 , SP is ₹110.

Therefore , When CP is ₹1200 , Then SP is ₹1320.

<u>• We need to find the combined CP and SP to say whether there was an overall profit or Loss.</u><u>.</u>

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  • Total SP = ₹ 1140 + ₹ 1320 = ₹ 2460.

Since total SP > total CP , A profit of ₹ ( 2460 - 2400 ) or ₹60 has been made ..

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2 years ago
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Which description best describes the solution to the following system of equations?
aleksandr82 [10.1K]

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Step-by-step explanation:

The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.

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<em>Comments on other answer choices</em>

Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.

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6 0
3 years ago
A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches. Approximately how much smaller,
zhuklara [117]

Answer:

285.74\text{ inch}^2

Step-by-step explanation:

GIVEN: A bicycle training wheel has a radius of 3\text{ inch}. The bicycle wheel has a radius of 10\text{ inch}.

TO FIND: Approximately how much smaller, in square inches, is the area of the training wheel than the area of the regular wheel.

SOLUTION:

radius of bicycle wheel =10\text{ inch}

area of bicycle wheel =\pi r^2

putting value,

area of bicycle wheel =3.14\times10^2

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radius of bicycle training wheel =3\text{ inch}

area of bicycle training wheel =\pi r^2

putting value,

area of bicycle wheel =3.14\times3^2

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difference in area of bicycle wheel and bicycle training wheel

=\text{area of bicycle wheel}-\text{area of bicycle training wheel}

=314-28.26

=285.74\text{ inch}^2

hence the training wheel is 285.74\text{ inch}^2 smaller than regular wheel

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