Algebra 1

The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Nathan is studying the change in the amount of money in two accounts, A and B, over time.

The amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 10,125(1.83)x

Part A: The table below shows the amount g(r), in dollars, of money in account B after r years.

r (number of years)
g(r) (amount in dollars)
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer.

  1. 👍 1
  2. 👎 0
  3. 👁 1,069
  1. It looks like your first account increases linearly,
    unless you have a typo and meant:
    f(x) = 10,125(1.83)^x

    the second is
    exponential and can be written as
    g(r) = 9,638(1.95)^r

    clearly g(r) has a higher percentage change since 1.95 > 1.83

    a more interesting question might have been: When will the amount be the same?

    10,125(1.83)^x = 9,638(1.95)^x

    10,125(1.83)^x = 9,638(1.95)^x
    (1.83)^x = .951901...(1.95)^x
    take log of both sides and use log rules
    xlog1.83 = log .951901... + xlog 1.95
    x(log 1.83 - log 1.95) = log .951901...
    x = .776..

    f(.776..) = 10,125(1.83)^.776.. = 1618410
    g(.776..) = 9,638(1.95)^.776... = 16184.10

    1. 👍 3
    2. 👎 2
  2. Thank you so much!!! :)

    1. 👍 1
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. 7th grade math Ms. Sue please

    1. The price of a radio changes from $40.00 to $44.00. (1 point) 10% decrease 10% increase 36.4% decrease 40% increase 2. The price of an oven changes from $450 to $396. (1 point) 13.6% increase 13.6% decrease 12% increase 12%

  2. Math

    The table shows how many hours Catalina spent babysitting during the months of April and May. a. If Catalina charges $6.50 per hour, what is the percent of change in the amount of money earned from April to May? Is it a change of

  3. math

    Emma is saving money for college. She has $800 and wants to deposit it into 2 different savings accounts. She decides to deposit $500.00 into an account, Account I, which earns 2.5% annual simple interest. She will then deposit

  4. Mathematics

    You decide you will buy a stock only if it shows an overall increase over the next 30 days. The first 10 days, it has an average daily increase of 0.30. The next 10 days it has an average daily decrease of 0.45. The last 10 days,


    If we decrease the distance an object moves we will decrease the amount of force applied. Decrease the amount of work done. increase the amount of force applied. increase the amount of work done.

  2. Microeconomics

    Suppose sharply lower coffee prices lead to a decrease in demand for tea. As tea prices decrease, tea producers experience short-run economic losses. If the tea industry is a price-taker industry and if sufficient time is allowed

  3. Math

    If someone could help me with these 6 questions, that would be great, Thank you. :) 5.) Chris wants to buy a cell phone that costs $215.00. His parents say Chris must raise 35% of the money himself. How much money much Chris

  4. Math

    the amount of simple interest earned in a savings account varies directly with the amount of money in the savings account with the amount of money in the account. A certain bank offers a 2% savings rate write a direct variation

  1. college Macroeconomics

    Suppose that there is a temporary, but significant,increase in oil prices in an economy with an upward-sloping SRAS curve. If policy makers wish to prevent the equilibrium price level from changing in response to the oil price

  2. social studies

    If the demand for a good service increases, how will prices affect supply? A. Rising prices will boost supply B. Falling prices will decrease supply C. Rising prices will decrease supply D. Falling prices will boost supply

  3. Social Studies

    How MIGHT a war with a country that is a member of OPEC impact citizens living around you? A) gas prices may increase due to a rise in price of crude oil C) the sale of foreign cars decreases due to an increase in tariffs D) the

  4. Macroeconomics

    If investors sell their stocks and increase their money holdings due to a bad economy then A. demand for loanable funds will increase. B. demand for loanable funds will decrease. C. supply of loanable funds will increase. D.

You can view more similar questions or ask a new question.