6 algebra questions Model situations using exponential functions Use exponents to solve logarithmic equations

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xnlyrrt164

Mathematics

Description

  • Model situations using exponential functions
  • Use exponents to solve logarithmic equations
  • Use logarithms to solve exponential equations
  • Graph exponential and logarithmic equations

i could only upload 5 so i will upload the last when we start :)

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(2 points 11. Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. The exponential decay graph shows the expected depreciation for a new boat, selling for $3,500, over 10 years. Value(s) 9000 8000 7000 6000 5000 4000 3000 2000 1000 *** 1 2 3 4 5 6 7 8 9 10 11 years Write an exponential function for the graph. Use the function to find the value of the boat after 9.5 years. (2 points) 12. Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Write the equation in logarithmic form. 4 , = 13. Evaluate the logarithm. (2 points) 1083 831 1 27 (2 points) 14. Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. Solve In2 + Inx = 5. Round to the nearest thousandth, if necessary. (3 points) 15. Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer. In a particular region of a national park, there are currently 330 deer, and the population is increasing at an annual rate of 11%. a. Write an exponential function to model the deer population. b. Explain what each value in the model represents. c. Predict the number of deer that will be in the region after five years. Show your work.
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Explanation & Answer

Hi, I finished this assignment first and please see the solution below.If you have any question, please let me know :)

SOLUTION
Some of the values that can be seen clearly from the graph are shown in the following table:
Time
0
2
3
7

Value
$3,500
$2,000
$1,500
$500

The exponential function can be modeled as follows:
y = 3500ax
where y is the va...


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