The balance of an interest-bearing account can be modeled by an exponential equation. For example, consider an initial deposit of $10000 at an annual interest rate of 5%. The interest earned each year is deposited into the account at the end of the year. A. Assuming that no withdrawals or deposits are made, write an equation that models the account balance after x years. Your answer B. What is the account balance at the end of the 7 years? Your answer C. Create a graph that shows the increase in the account balance over the next 15 years, including your initial deposit. Your answer

The balance of an interest-bearing account can be modeled by an exponential equation. For example, consider an initial deposit of $10000 at an annual interest rate of 5%. The interest earned each year is deposited into the account at the end of the year. A. Assuming that no withdrawals or deposits are made, write an equation that models the account balance after x years. Your answer B. What is the account balance at the end of the 7 years? Your answer C. Create a graph that shows the increase in the account balance over the next 15 years, including your initial deposit. Your answer

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Tab Window Hélp sponse The balance of an interest-bearing account can be modeled by an exponential equation. For example, consider an initial deposit of $2000 at an annual interest rate of 6%. The interest earned each year is deposited into the account at the end of the year. A. Assuming that no withdrawals or deposits are made, write an equation that models the account balance after x years. Your answer B. What is the account balance at the end of the 10 years? Your answer C. Create a graph that shows the increase in the account balance over the next 20 years, including your initial deposit. Your answer D. Using the graph, estimate how many years it will take for the initial deposit to double. Your answer E. If you deposited $2000 in an account of this type, what would the account balance be when you are 45 years old assuming that you are 18 years of age right now?
The value of a bank account collecting interest which is continuously compounded is modeled by the equation: A = Pet where: A is the value of the account at time t P, or the principal, is the value of the initial investment t is time (measured in years) r is the interest rate (written as a decimal) 1. Suppose that $5000 is put into an account with an interest rate of 8% compounded continuously. a) How much will the account be worth after 3 years (exact value) ? b) How much will the account be worth after 3 years (rounded to the nearest cent) ? c) How many years will it take for the value of the account to double? In an exponential model for population growth, the size of a population at time t is rt described by the equation: N(t) = Net where: N is the initial population or the population at t=0 r is the percentage growth rate t = time and can be measured in different units depending on the problem. Note: You don't have to use e and r. It is often possible to find an equivalent form…
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate. A. Find how much money there will be in the account after the given number of years. B. Find the interest earned. Click the icon to view some finance formulas. A. The amount of money in the account after 2 years is $. (Round to the nearest hundredth as needed.) B. The amount of interest earned is $. (Round to the nearest hundredth as needed.) Principal $2000 Rate 5% 7 Compounded annually Time 2 years
With an initial deposit of 200 dollars, the balance in a bank account after t years is f(t) = 200(1.05)t dollars. What are the units of the rate of change of f(t)? Find the average rate of change over [0,1]
Suppose you deposit $1,098.00 into an account 5.00 years from today. Exactly 14.00 years from today the account is worth $1,577.00. What was the account's interest rate?
Suppose you deposit $ 1296 today and your account will accumulate to $ 5637 in 9 years. What is the rate of interest? Input your answer in decimals, not percentages. Round your answer to four decimals places.
Listen How long would you have to wait for a deposit of $1,625 to earn $34 in interest? Assume that the account earns a simple interest rate of 6.75% per annum. Express your answer in months to two decimal places. Your Answer: Answer
Suppose you deposit m dollars the beginning of every month in a savings account that earns a monthly interest rate of r. For an initial investment of m dollars, the amount of money in your account at the beginning of the second month is the sum of your second deposit and your initial deposit plus interest. Denote by An the amount of money in your account in the nth month. 1. Explain why A₁ = m dollars. 2. Explain why A₂ = m+m(1+r) dollars. 3. Write down explicit expressions for A3 and A4. This is the crucial step. 4. Explain why An = m+m(1 + r) + m(1 + r)² + ... +m(1 + r)"−¹ dollars. 5. Use the formula for a geometric sum to show that An = m (1 + r)” − 1 r dollars. 6. If your account has a monthly interest rate r = 0.002 and you deposit $200 monthly for 5 years, how much money will you have in your account after the 5 years? (Hint: How many months?)
Suppose you invest S11.570.00 into an account earming an interest rate of 2.484% compounded continuously for 2 yeart and thereafter earning an interest rate of 3.417% compounded weekly. How much money is in the account after 9 years? The amount in the account is (Note: Your answer should have a dollar sign and be accurate to two decimal places)
Suppose you invest $1,250 in an account paying 8% interest per year. a. What is the balance in the account after 3years? How much of this balance corresponds to "interest on interest"? b. What is the balance in the account after 31 years? How much of this balance corresponds to "interest on interest"?
Suppose that you deposit $7000 in a savings account that pays 4% annual interest, with interest credited to the account at the end of each year. Assuming that no withdrawals are made, complete the following: a. Find the balance in the account after 5 years. b. Find the balance of the account after 9 years and 10 months.
If you deposit $P into a savings account that earns interest at a rate of i% per month for n years, the future worth in year n is represented by all of the following equations, except: (a) F = $P(F∕P, effective i/month, 12n) (b) F = $P(F∕P, effective i/quarter, 3n) (c) F = $P(F∕P, effective i/6-month, 2n) (d) F = $P(F∕P, effective i/year, n)

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