What is f ( 1/3)? When the function is f(x) =-3x+7
2 answers:
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Answer:
Step-by-step explanation:
Given
The temperature on Tuesday is
Temperature drops to on Wednesday
Net drop in temperature
The temperature drops twice from Wednesday to Thursday
Temperature on Thursday
<u>Answer:</u>
11
<u>Step-by-step explanation:</u>
We are given the following expression and we are to solve it:
Simplifying both the fractions before adding them to make it easier to solve:
=
=
=
Therefore, the answer to the given mathematical expression is 11.
1. Since the sales of 8-track players are decreasing by 5.1% per year, we can say that the sales after a year are 94.9% of the sales of the previous year. For succeeding years, we just multiply the percentage a number of times corresponding to the number of years. Forming an exponential function for this we'll get:
where x is the number of years and f(x) is the number of sales.
To find the number of sales in 2013 we just plug in 3 for the value of x:
ANSWER: Emporium sold 333 8-track players in 2013.
2. The half life of Neptunium-229 is modeled by
where A is the final amount and t is the time that has passed in minutes. This just means that the original amount will be multiplied by one half for every 4 minutes.
30 minutes has passed from 7:45 am to 8:15 am. Therefore, we just substitute 30 as the value of t to find the amount of Neptunium remaining by 8:15.
ANSWER: 2.76 grams of Neptunium-229 are remaining at 8:15 am.
3. To find how much annual interest is collected over x years, we just do the same modelling as the previous items. Knowing that the initial amount that Mr. Canonaco deposited into his bank account and that the <span>Dewey, Cheetum, & Howe Credit Union collects 6.25% annual interest per year, the equation will be as follows:
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where x is the number of years and f(x) is the annual interest collected.
To find the number of sales in 2013 we just plug in 3 for the value of x:
ANSWER: Emporium sold 333 8-track players in 2013.
2. The half life of Neptunium-229 is modeled by
30 minutes has passed from 7:45 am to 8:15 am. Therefore, we just substitute 30 as the value of t to find the amount of Neptunium remaining by 8:15.
ANSWER: 2.76 grams of Neptunium-229 are remaining at 8:15 am.
3. To find how much annual interest is collected over x years, we just do the same modelling as the previous items. Knowing that the initial amount that Mr. Canonaco deposited into his bank account and that the <span>Dewey, Cheetum, & Howe Credit Union collects 6.25% annual interest per year, the equation will be as follows:
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