Answer:
7. $8123.79
8. 0.012 g
Step-by-step explanation:
It often pays to follow directions. The attachment shows the use of a TI-84 graphing calculator to find the answers.
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You will notice that the answer to problem 8 does not agree with any of the offered choices. The time period of 22.8 years is 12 times the half-life of the substance, so there will be (1/2)^12 = 1/4096 of the original amount remaining. The time periods corresponding to the amounts shown range from 1.37 years to 16.4 years.
For half-life problems, I find it convenient to use the decay factor (0.5^(1/half-life)) directly, rather than convert it to e^-k. If you do convert it to the form ...
e^(-kt)
the value of k is (ln(2)/half-life), about 0.3648143056.
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For multiple choice problems where the choices make no sense, I like to suggest you ask your teacher to show you how to work the problem. (Alternatively, use the "Report this question" or "Ask a tutor" button sometimes provided.)
Of the 100 students, 37 take only Spanish. Subtracting 37 from 100 gives us 63 students who are taking either both Spanish and Chinese or only Chinese.
So, there are 63 students who are taking Chinese (just Chinese or both Chinese and Spanish).
Since the number of students taking Chinese is 8 more than the number of students taking Spanish, 63 - 8 + 55 students taking Spanish (just Spanish or both Spanish and Chinese).
Of these 55 students, 37 are only taking Spanish, therefore, 55 - 37 = 18 students who are taking both languages.
I guess a whole lot shorter way of looking at this is: for there to be 8 more students taking Chinese than Spanish, there must be 8 more students who are taking only Chinese than who are taking only Spanish: 37 + 8 = 45. Since 37 are taking only Spanish and 45 are taking only Chinese, 100 - (37 + 45) = 18 students who are taking both languages.
Answer: Day 14
Step-by-step explanation: 2^14 = 16384 cents, which equals $163.84
For the answer to the question above asking w<span>hat is the probability of randomly choosing a gold chip, not replacing it, and then randomly choosing another gold chip? The answer to this question is the third one among the choices which is c. 1 over 30.
I hope this helped</span>
<em><u>Solution:</u></em>
Given that,
We have to factor out terms and write as a product of 2 binomials and monomial
A monomial is a mathematical expression with only one term, while a binomial is a mathematical expression with two terms.
From given expression,
3 and a are common factors in second bracket
Hence, the product of two binomial is written in two binomial and a monomial