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6. [-/2 Points] DETAILS OSPRECALC1 4.1.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider this scenario: For each year t, the population of a forest

6. [-/2 Points] DETAILS OSPRECALC1 4.1.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 119(1.029). In a neighboring forest, the population of the same type of tree is represented by the function B(t) = 88(1.021). Which forest had a greater number of trees initially? O forest represented by A(t) O forest represented by B(t) By how many? (Round your answer to the nearest whole number.) trees Additional Materials eBook Exponential Growth Function 7. [-/2 Points] DETAILS OSPRECALC1 4.1.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 112(1.029)'. In a neighboring forest, the population of the same type of tree is represented by the function B(t) = 82(1.027). Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 20 years? O forest represented by A(t) O forest represented by B(t) By how many? (Round your answer to the nearest whole number.) trees Additional Materials eBook Exponential Growth Function8. [-/2 Points] DETAILS OSPRECALC1 4.1.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider this scenario: For each year t, the population of a forest of trees is represented by the function A(t) = 113(1.023). In a neighboring forest, the population of the same type of tree is represented by the function B(t) = 83(1.027). Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100 years? O forest represented by A(t) O forest represented by B(t) By how many? (Round your answer to the nearest whole number.) trees Additional Materials eBook Exponential Growth Function12. [-/1 Points] DETAILS OSPRECALC1 4. 1.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the formula for an exponential function that passes through the two points given. (x, y) = (0, 1400) and (x, y) = (2, 14) f ( x ) = Additional Materials eBook Learn by Example Example Video 13. [-/1 Points] DETAILS OSPRECALC1 4.1.053. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a graphing calculator to find the equation of an exponential function given the points on the curve. (Round the coefficient and base to three decimal places.) (x, y) = (20, 25.295) and (x, y) = (150, 780.86) Additional Materials eBook14. [-/1 Points] DETAILS OSPRECALC1 4. 1.062. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A scientist begins with 100 milligrams of a radioactive substance that decays exponentially. After 38 hours, 50 mg of the substance remains. How many milligrams will remain after 57 hours? (Round your answer to two decimal places.) mg Additional Materials eBook Exponential Growth Function Example Video 15. [-/1 Points] DETAILS OSPRECALC1 4. 1.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER For the following exercise, use the compound interest formula, A(t) = P(1 + - ) , where money is measured in dollars. After a certain number of years, the value of an investment account is represented by the expression 10,550( 1 + 0.02 )120 What was the initial deposit made to the account? 12 $ Additional Materials eBook Compound Interest16. [-/1 Points] DETAILS OSPRECALC1 4.1.032. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER For the following exercise, use the compound interest formula, A(t) = P(1 + -)", where money is measured in dollars. An account is opened with an initial deposit of $6,500 and earns 3.7% interest compounded semi-annually for 20 years. How much more would the account have been worth if the interest were compounding weekly? (Round your answer to the nearest cent.) $ Additional Materials eBook Compound Interest 17. [-/1 Points] DETAILS OSPRECALC1 4.1.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the equation represents continuous growth, continuous decay, or neither. Explain. y = 8453(e)0.85t O The equation represents continuous decay because the growth rate r is positive. The equation represents continuous decay because the growth rate r is negative. The equation represents continuous growth because the growth rate / is positive. The equation represents continuous growth because the growth rate r is negative. The equation represents neither continuous growth nor continuous decay because the equation is not an exponential function. Additional Materials eBook18. [-/1 Points] DETAILS OSPRECALC1 4.1.041. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the equation represents continuous growth, continuous decay, or neither. Explain. y = 9.25(e)-4t The equation represents continuous decay because the growth rate / is negative. The equation represents continuous growth because the growth rate r is negative. The equation represents continuous decay because the growth rate / is positive. The equation represents continuous growth because the growth rate / is positive. The equation represents neither continuous growth nor continuous decay because the equation is not an exponential function. Additional Materials eBook 19. [-/1 Points] DETAILS OSPRECALC1 4. 1.047. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the function. (Round your answer to four decimal places.) f(x) = -2ex - 1, for f(-8) f(-8) = Additional Materials eBook Example Video22. [-/1 Points] DETAILS OSPRECALC1 4.2.094-096C.WA. TUT. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the horizontal asymptote. f(x) = 3* + 9 TutorialGraph the transformation of ((x) = 8*. h(x) = 8* + 3 3 -3 - X -9 -6 3 6 -6 6 -3 -6 -3 3 6 X 9. -9 -6 6 Give the horizontal asymptote of the transformation. Give the domain and range of the transformation. (Enter your answers using interval notation.) domain range24. [-/2 Points] DETAILS OSPRECALC1 4.2.099. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Describe the end behavior of the graph of the function. f(x) = 3(2) -*+ 4 As x - -co, f(x) - As X - co, f(x) - Additional Materials eBook Graph Exponential Functions 25. [-/1 Points] DETAILS OSPRECALC1 4.2. 101. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Start with the graph of f(x) = 5*. Then write a function g(x) that results from the given transformation. shift f(x) 8 units downward g ( x ) = Additional Materials LeBook Graph Exponential Functions26. [-/1 Points] DETAILS OSPRECALC1 4.2.102. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Start with the graph of f(x) = 6*. Then write a function g(x) that results from the given transformation. shift f(x) 2 units left g (x) = Additional Materials eBook Graph Exponential FunctionsThis question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Write an exponential function y = ab* for a graph that passes through (3, 1) and (4, 3). Step 1 of 6 Substitute the coordinates of either of the given points into the general form of an exponential function. Here, the coordinates of (3, 1) are used. Replace x with 3 and y with 1 in y = ab*. y = ab* 1 V P 1 - 36 3 Step 2 of 6 Solve for the variable a in the equation from Step 1 by applying the division property of equality. Divide each side of the equation by b- 1 = ab Step 3 of 6 Substitute the coordinates of the other point into the general form of the exponential function. Replace x with 4 and y with 3 in y = ab*. Y = ab* Step 4 of 6 Find the value of b. Substitute the expression for a in Step 2 into the equation in Step 3. Replace a with - in 3 = ab". Apply the quotient rule of powers to simplify. Subtract the exponents, and keep the base b. 3 = ab 3 Your answer cannot be understood or graded. More Information b* Submit Skip (you cannot come back) mathPad Operations10. [-/1 Points] DETAILS OSPRECALC1 4.1.061. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The fox population in a certain region has an annual growth rate of 7% per year. In the year 2012, there were 22,800 foxes counted in the area. What is the fox population predicted to be in the year 2020? (Round your answer to the nearest whole number.) foxes Additional Materials La eBook Exponential Growth Function