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Ilya [14]
3 years ago
12

A student in Greece discovers a pottery bowl

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

The age of the pottery bowl to the nearest year is 15606 years.

Step-by-step explanation:

Let the initial amount of C-14 in the bowl i.e. N_{0} = 100 and today (say after t years) the amount of C-14 in the bowl i.e. N = 21.

Therefore, from the given equation we can write  

21 = 100 e^{- 0.0001t} {Since, k is give to be 0.0001}

⇒ 0.21 = e^{- 0.0001t}

Now, taking ln on both sides we get

ln 0.21 = - 0.0001t (ln e) {Since, \ln a^{b} = b \ln a}

⇒ - 1.560647 = - 0.0001t  {We have ln e = 1}

⇒ t = 15606.47 years ≈ 15606 years  

Therefore, the age of the pottery bowl to the nearest year is 15606 years.(Answer)

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Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h
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Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y   (where P% is P/100)

Here in the question it is given that,

  • Mr. and Mrs. Lorenzo want to buy a home valued at $213,500
  • They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

  • Given that the total amount = $213,500
  • Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500  

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

brainly.com/question/14366896

#SPJ4

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