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faltersainse [42]
2 years ago
5

Carbon-141414 is an element that loses about 10\%10%10, percent of its mass every millennium (i.e., 100010001000 years). A sampl

e of Carbon-141414 has 600600600 grams.
Write a function that gives the sample's mass in grams, S(t)S(t)S, left parenthesis, t, right parenthesis, ttt millennia from today.
Mathematics
1 answer:
Eduardwww [97]2 years ago
7 0

Answer:

S(t) = 600*0.9^t

Step-by-step explanation:

At the beginning (t = 0) the sample has 600 grams. After 1 millennium from today (t = 1) the mass will be: 600 - 600*0.1 = 600*0.9. After 2 millennium from today (t = 2) the mass will be the 90% of the mass in the previous millenium, that is: 600*0.9*0.9 = 600*0.9^2. Analogously, at time = 3, sample's mass will be: 600*0.9^2*0.9 = 600*0.9^3. In a table format, that is

t       m

0      600

1       600 - 600*0.1 = 600*0.9

2      600*0.9*0.9 = 600*0.9^2

3      600*0.9^2*0.9 = 600*0.9^3

Therefore, sample's mass in grams, S(t), where t refers to millennia from today is computed as follows: S(t) = 600*0.9^t

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The correct numbers to use in solving problems about spans of time like B.C. and A.D. should be “integers”.

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2 years ago
Carlos has 58 pencils what is the value of the digit 5 in this number
djverab [1.8K]
It would be 50 because the 5 is in the tens spot
6 0
2 years ago
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Josh has $500 in his savings account. He deposits $25 into his savings account each month. He purchased home theater equipment f
zzz [600]

Answer:

  B. 10 months

Step-by-step explanation:

The balance on the loan will be ...

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The balance in the savings account will be ...

  s = 500 + 25t

The savings account balance will be at least as much as the loan balance when ...

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  500 +25t ≥ 1600 -80t . . . substitute the account balance expressions

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It will take Josh 10 months to have enough savings to pay the loan in full.

_____

<em>Comment on rounding</em>

IMO, it makes no sense to round down, as Josh will NOT have enough in 10 months. He will have enough after he makes one more payment of $80. At 10 months, the loan balance is $50 more than the savings balance. It will be 11 months before there is enough savings to pay off the loan.

4 0
2 years ago
Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If a student is selected at ran
mel-nik [20]

This question is incomplete because it lacks the appropriate options

Complete Question

Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If a student is selected at random, what is the

probability that the student takes Spanish or French?

A 31%

B. 27%

C. 23%

D. 19%

Answer:

C. 23%

Step-by-step explanation:

At Central High

From the question, we are told that:

Spanish = 15%

French = 12%

Spanish and French = 4%

French or Spanish = unknown

Therefore, the probability that a student at random takes Spanish or French

= P(Spanish) + P(French) - P(Spanish and French)

= 15% + 12% - 4%

= 27% - 4%

= 23%

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Answer:

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