Q&A Hero

Q: The price of a new car increases by 21% every 5 years. What is the annual percent increase? Round to the nearest hundredth of a percent.

Q: The city of Carslynn, WI, expects the city budget to double every 34 years. What is the expected annual percent increase in the budget? Round the answer to the nearest hundredth of a percent.

Q: Determine the doubling time for money invested at 5.9% interest compounded continuously. Round the answer to the nearest tenth of a year.

Q: Determine the doubling time for money invested at 6.7% interest compounded quarterly. Round the answer to the nearest tenth of a year.

Q: Pat recently inherited a large amount of money and wants to put some away for her child's college education. Pat figures her daughter will need $40,000 for college at age 18. Her daughter is now 12 years old and Pat can invest the money at 10.3% compounded Continuously. How much should Pat invest now to reach her goal? (Round the answer to the nearest penny.)

Q: Pat recently inherited a large amount of money and wants to put some away for her child's college education. Pat figures her daughter will need $28,000 for college at age 18. Her daughter is now 8 years old and Pat can invest the money at 11.1% compounded annually. How much should Pat invest now to reach her goal? (Round the answer to the nearest penny.)

Q: If $9,451 is invested at 4.5%, how much more would you have after 18 years if the interest was compounded continuously compared to compounded quarterly?

Q: If $3,571 is invested at 2.9%, how much more would you have after 14 years if the interest was compounded monthly compared to compounded quarterly?

Q: If $6,775 is invested at 4.5%, how much more would you have after 19 years if the interest was compounded continuously compared to compounded monthly?

Q: Find the value of this expression to 4 decimal places.

Q: The deer population in Potter County has a continuous growth rate of 5.7% a year. If the deer population was 410 in 2007, find:A) a function that gives the deer population, P, as a function of the years after 2007, y, (Write your answer in form.) and,B) use the function to find the deer population of Potter County in 2016. Round your answer to the nearest deer.

Q: The deer population in Potter County has a continuous growth rate of 7.6% a year. If the deer population was 760 in 2007, find a function that gives the deer population, P, as a function of the years after 2007, y, (Write your answer in form.)

Q: Find A) the continuous growth factor and B) the effective growth factor from the function,Write your answers as percents rounded to 2 decimal places, like 23.75%.

Q: Find a by converting to a.Round your answer to 2 decimal places.

Q: Determine whether the function models continuous growth or decay.A) GrowthB) Decay

Q: Alice invests $9,000 in an account offering 5.5% interest compounded continuously. A) Find the value of the account after 5 years. Round your answer to the nearest cent. B) How many years until the account value reaches $23,000? Round your answer to the nearest year.

Q: Alice invests $8,000 in an account offering 6% interest compounded continuously. How many years until the account value reaches $10,000? Round your answer to the nearest year.

Q: Alice invests $5,000 in an account offering 2% interest compounded continuously. Find the value of the account after 6 years. Round your answer to the nearest cent.

Q: Find the effective interest rate of an account that pays 5% interest compounded continuously. Write your answer as a percent rounded to 2 decimal places, such as 4.13%.

Q: Alice invests $18,000 in an account offering 3% interest compounded biannually (2 times per year). A) Find the value of the account after 8 years. Round your answer to the nearest cent. B) How many years until the account value reaches $34,000? Round your answer to the nearest year.

Q: Alice invests $18,000 in an account offering 2.5% interest compounded monthly (12 times per year). How many years until the account value reaches $20,000? Round your answer to the nearest year.

Q: Alice invests $9,000 in an account offering 7.5% interest compounded daily (365 times per year). Find the value of the account after 10 years. Round your answer to the nearest cent.

Q: Find the effective interest rate of an account that pays 8% interest compounded daily (365 times each year). Write your answer as a percent rounded to 2 decimal places, such as 4.13%.

Q: Stacey is waiting for the ice on the lake to become thick enough to go ice fishing. At the current temperature, the thickness of the ice is increasing by 1.5% per hour. How long will it take for the ice to double in thickness? Use the rule of 70 and round to the nearest hour.

Q: Frank borrowed money from his older sister. They agreed to terms where Frank would pay off 9% of the remaining balance every month. How long will it take for Frank to reduce the balance to 1/2 of the original amount? Use the rule of 70 and round to the nearest month.

Q: Fill in the blank: ________ A) approximately equal to B) less than C) greater than D) Unable to determine

Q: Determine the doubling time for the graph. Assume each marking on the x-axis represents one unit of time. Round the answer to 2 decimal places.

Q: Create the formula for the graph.

Q: Determine the half-life of the graph. Assume each marking on the x-axis represents one unit of time. Round the answer to 2 decimal places.

Q: Create the formula for the graph.

Q: Which interest rate will approximately double your money in 18 years? A) 4 % B) 28 % C) 7 % D) 1.8 %

Q: The population of the world increased from 5.61 billion in 1995 to 6.03 billion in 2000. Assuming this (exponential) growth continues, to the nearest year how many years will it take for the world's population to double?

Q: Peru's population increased from 28.3 million to 28.7 million in 2006. Assuming this (exponential) growth continues, to the nearest year how many years will it take for the population to double?

Q: The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay: Find the half-life to the nearest year. A) 65 B) 7 C) 0.9 D) 11

Q: The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay: Use the "Rule of 70" to estimate the half-life to the nearest year.

Q: The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay: Find the half-life to the nearest year.

Q: The following function gives the amount, A, of a radioactive element remaining as a function of y, the years of decay: Find the half-life.

Q: The following function gives the value, V, of an investment as a function of y, the years since the original investment: Find the doubling time to the nearest year. A) 1,400 B) 19 C) 1.28 D) 3

Q: The following function gives the value, V, of an investment as a function of y, the years since the original investment: Use the "Rule of 70" to estimate the doubling time to the nearest year.

Q: The following function gives the value, V, of an investment as a function of y, the years since the original investment: Find the doubling time to the nearest year.

Q: The following function gives the value, V, of an investment as a function of y, the years since the original investment: Find the doubling time.

Q: The cost of college tuition increases about 3.2% each year. If the average cost of tuition is $9,500 in 2007, find: A) a function that gives the average tuition, T, as a function of the years after 2007, y, (Write your answer in form.)and, B) use the function to find the average cost of tution in 2012. Round your answer to the nearest dollar.

Q: The cost of college tuition increases about 3.2% each year. If the average cost of tuition is $10,500 in 2007, find a function that gives the average tuition, T, as a function of the years after 2007, y, (Write your answer in form.)

Q: In 1923, a year-old Model T automobile was purchased for $750. In 1927, it was worth $450. (Note: t = 0 in 1922). Find a function which gives the value of the car, V, as a function of y, the number of years after 1922, assuming the value of the car depreciated... A) Linearly. (Write your answer in form and round values to 2 decimal places.) B) Exponentially (Write your answer in form and round values to 2 decimal places.)

Q: A house valued at $45,000 in 1990 increased in value to $100,000 in 2005. A) Find a function which gives the value of the house, V, as a function of y, the number of years after 1990. Write your answer in form and round values to 2 decimal places. B) Now use that function to predict the value of the house in 2018. Round to 2 decimal places.

Q: In 2000, a town's population was 35,000. In 2010, the population had increased to 100,000. If the town continues to grow at the same rate (Assuming exponential growth), what will its population be in 2020? Round your answer to the nearest thousand.

Q: A house valued at $45,000 in 1989 increased in value to $140,000 in 2001 Choose the true statement. A) The value of the house increased approximately 95,000 percent from 1989 to 2001. B) The value of the house increased approximately 211 percent from 1989 to 2001. C) The value of the house increased approximately 7,917 percent from 1989 to 2001. D) The value of the house increased approximately 311 percent from 1989 to 2001.

Q: A house valued at $65,000 in 1989 increased in value to $105,000 in 2004 A) What was the absolute change in value? B) What was the percent change over the 15 years? Round to 2 decimal places, if necessary.

Q: Higher education enrollment in Kentucky for the years from 1985 through 1992 is displayed in the following table. Year 85 86 87 88 89 90 91 92 Enrollment (in thousands) 80 82 85 91 95 105 106 110 Complete the sentence: Between 1985 and 1990, the enrollment increased by A)___________ thousand students which is a B)___________ percent increase over the 5 years. Round answers to 2 decimal places if necessary.

Q: Choose the description that best describes the exponential function, . A) For every unit increase in the input, the output increases by 280,000 units. B) For every unit increase in the input, the output increases by 240 percent. C) For every unit increase in the input, the output increases by 2.4 percent. D) For every unit increase in the input, the output increases by 3.4 percent.

Q: Complete the description for the exponential function, . For every unit increase in the input, the output increases by ______ percent.

Q: Find an exponential function, , such that and for every unit increase in x, the output increases by 40 percent.. Enter your answer in form. A) B) C) D)

Q: Find an exponential function, , such that and for every unit increase in x, the output decreases by 60 percent.. Enter your answer in form.

Q: Find an exponential function with initial value 30 and decay rate 0.1. Write your answer in form. A) B) C) D)

Q: Find an exponential function with initial value 3.9 and growth rate 1.2. Write your answer in form.

Q: For the exponential function given, identify A) the initial value and B) the growth (or decay) rate. Enter the growth (or decay) rate as a positive number in percentage form.

Q: The function represents the decay of the Asian beetle population in Wisconsin where T represents 5-year intervals. Create an equivalent function where T represents 1-year intervals. Round the decay factor to 3 decimal places.

Q: The function represents the growth of the deer population in Wisconsin where T represents 5-year intervals. Create an equivalent function where T represents 1-year intervals. Round the growth factor to 3 decimal places.

Q: A company states that their annual profit has increased by 695% over the last 12 years from 1998 to 2010. Write a function to describe the profit with f(0) being 1998 profits of $186700. Round the growth factor to 3 decimal places if necessary.

Q: What is the decay factor for a business whose profit decreases by 30.5% every 3 years? A) 0.305 B) 1.305 C) 0.695 D) 69.5

Q: What is the growth factor for an object whose mass increases by 22.7% every 3 years? A) 0.227 B) 1.227 C) 0.773 D) 77.3

Q: Given the functions: f(x) = 7.1 (0.97)x, g(x) = 7.1 (1.31)x, h(x) = "7.1 (0.97)x, k(x) = "7.1 (1.31)"x Which functions are mirror images of each other across the x-axis? Select all that apply. A) f(x) and g(x) B) f(x) and h(x) C) f(x) and k(x) D) g(x) and h(x) E) g(x) and k(x) F) h(x) and k(x)

Q: Given the functions: f(x) = 14.1 (0.89)x, g(x) = 14.1 (1.11)x, h(x) = 52.1 (0.89)x, k(x) = 52.1 (1.11)"x Which functions are mirror images of each other across the y-axis? Select all that apply. A) f(x) and g(x) B) f(x) and h(x) C) f(x) and k(x) D) g(x) and h(x) E) g(x) and k(x) F) h(x) and k(x)

Q: Given the functions: f(x) = 11.7 (0.83)x, g(x) = 11.7 (1.31)x, h(x) = 26.9 (0.83)x, k(x) = 26.9 (1.31)"x Which functions have the same y-intercept? Select all that apply. A) f(x) and g(x) B) f(x) and h(x) C) f(x) and k(x) D) g(x) and h(x) E) g(x) and k(x) F) h(x) and k(x)

Q: A city has a decay factor of 0.89 every 8 years. If the population is currently 80,973, construct a function to describe the city's population each year. Round each part of the answer to 3 decimal places if necessary.

Q: A city has a growth factor of 1.16 every 7 years. If the population is currently 80,726, construct a function to describe the city's population each year. Round each part of the answer to 3 decimal places if necessary.

Q: Consider:f(x) = 93.8 " 0.77xg(x) = 93.8 (0.77)xCompare f(x) to g(x) as .A) f(x) = g(x)B) f(x) < g(x)C) f(x) > g(x)D) Unable to determine.

Q: Consider: f(x) = 28.8 " 0.22x g(x) = 28.8 (0.22)x Compare f(0) to g(0). A) f(0) = g(0) B) f(0) < g(0) C) f(0) > g(0) D) Unable to determine.

Q: Consider:f(x) = 59.4 + 6.2xg(x) = 55.7 (4.5)xCompare f(x) to g(x) as .A) f(x) = g(x)B) f(x) < g(x)C) f(x) > g(x)D) Unable to determine.

Q: Consider: f(x) = 49.5 + 2.4x g(x) = 22.6 (2)x Compare f(0) to g(0). A) f(0) = g(0) B) f(0) < g(0) C) f(0) > g(0) D) Unable to determine.

Q: Given the functions:f(x) = 45 (4.9)xg(x) = 10 + 0.81xh(x) = 75 (0.91)xk(x) = 28.3 " 5.5xAs , which function(s) approach ? Select all that apply.A) f(x)B) g(x)C) h(x)D) k(x)

Q: Given the functions:f(x) = 114 (3.1)xg(x) = 20 + 0.79xh(x) = 84 (0.91)xk(x) = 10.3 " 10.7xAs , which function(s) approach 0? Select all that apply.A) f(x)B) g(x)C) h(x)D) k(x)

Q: Given the functions:f(x) = 94 (9.7)xg(x) = 4 + 0.19xh(x) = 73 (0.91)xk(x) = 40.3 " 9.5xAs , which function(s) approach ? Select all that apply.A) f(x)B) g(x)C) h(x)D) k(x)

Q: Given the functions:f(x) = 119 (1.5)xg(x) = 69 + 0.41xh(x) = 82 (0.89)xk(x) = 13.7 " 4.5xAs , which function(s) approach ? Select all that apply.A) f(x)B) g(x)C) h(x)D) k(x)

Q: Given the functions:f(x) = 97 (6.9)xg(x) = 57 + 0.81xh(x) = 78 (0.94)xk(x) = 26.7 " 4.9xAs , which function(s) approach 0? Select all that apply.A) f(x)B) g(x)C) h(x)D) k(x)

Q: Given the functions:f(x) = 9 (11.9)xg(x) = 55 + 0.85xh(x) = 92 (0.96)xk(x) = 35.7 " 4.7xAs , which function(s) approach ? Select all that apply.A) f(x)B) g(x)C) h(x)D) k(x)

Q: Compared to the function whose graph is given as a solid curve, what can you definitely say about the exponential function whose graph is dashed? A) C is larger B) C is smaller C) a is larger D) a is smaller

Q: Choose the graph that best fits the description of an exponential function, with C= and a= A) B) C) D)

Q: For the exponential function given find the y-intercept.Write your answer as an ordered pair (x,y).

Q: Choose the function that best fits the graph.A) B) C) D)