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lana66690 [7]
3 years ago
14

The age of the Hawaiian islands gets older as you move from east to west. If the half-life of K-40 is 1.3 billion years, approxi

mate the age of Maui if a sample rock on the island has 99.96% of its parent K-40 remaining.​
Mathematics
1 answer:
Mumz [18]3 years ago
5 0

Answer:

t \approx 750550.12\,yr

Step-by-step explanation:

The time constant of the isotope is:

\tau = \frac{1.3\times 10^{9}\,yr}{\ln 2}

\tau \approx 1.876 \times 10^{9}\,yr

The decay of the isotope is described by the following model:

\frac{m}{m_{o}} = e^{-\frac{t}{\tau} }

Now, the time is cleared in the equation:

t = -\tau \cdot \ln \frac{m}{m_{o}}

t = - (1.876\times 10^{9}\,yr)\cdot \ln 0.9996

t \approx 750550.12\,yr

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Which statement represents the simplified form of the given equation and correctly describes the solution?
son4ous [18]

Answer: D. 6=6

Step-by-step explanation:

9x + 6 =3(3x+2)

9x + 6 = 9x +6

9x - 9x +6 = 6

      0x +6=6

6=6

8 0
3 years ago
Ebony but a four year treasury note that pay the equivalent of 3.8% simple interest. She invested $3000 more in a 9 year bond e
Anastasy [175]

Treasury bond's invested amount is "$7000" and Bond's invested amount is "$10000",

Let,

  • The amount invested in treasury note will be = x
  • The amount invested in bond will be = (x + 3000)

then,

→ \frac{x\times 4\times 3.8}{100} +\frac{(3000+x)\times 9\times 4.6}{100}=5204

→       \frac{15.2x}{100}+\frac{(3000+x)\times 41.4}{100} =5204

→         \frac{15.2x}{100} +\frac{124200+41.4x}{100} =5204

→            \frac{15.2 x+124200+41.4x}{100} = 5204

→               56.6x+124200=520400

→                               56.6x=520400-124200

→                               56.6x=396200

→                                      x = \frac{396200}{56.6}

→                                         = 7000

Amount invested in bond will be:

= x+3000

= 7000+3000

= 10000    

Thus the above is the correct answer.

Learn more:

brainly.com/question/14802140

8 0
2 years ago
At SaveRite, a 4-ounce carton of juice costs $0.85 and a 16-ounce carton costs $2.70. Which size carton would you buy to pay the
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Answer:

16-ounce carton

Step-by-step explanation:

you divide by the cost by the amount of ounces per cent and when buying the  4 ounce one is 21 cents per ounce while the 16 ounce one is 16 cents per ounce

8 0
3 years ago
What does it mean for a value to be non-negative?
Luba_88 [7]
It is 0 or positive.
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3 years ago
So I have to finish this and I have no idea How to do it. Please Help.
Zina [86]

Answer:

25 bc I mena I did count the scares but then I took the ones that weren’t fully squares and counted them as a quarter and that’s what I got not sure don’t trust meh bc I just guess this

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