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. Principal $6000 Rate 5% Compounded annually Time 3 years
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- The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate. Click the icon to view some finance formulas. A. Find how much money there will be in the account after the given number of years. B. Find the interest earned. A. The amount of money in the account after 2 years is $. (Round to the nearest hundredth as needed.) Principal $7000 B. The amount of interest earned is $ (Round to the nearest hundredth as needed.) Rate 7% Compounded quarterly Time 2 yearsThe 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. 8. Find the interest earned. Click the icon to view some finance formulas A The amount of money in the account after 3.5 years is (Round to the nearest hundredth as needed.) Principal $9500 Rate 7.5% Compounded daily Time 3.5 yearsA certain some of money P draws interest compounded continuously. If a certain time there are Po dollars in the account, determine the time when the financial attains the value of 2Po dollars if the annual interest rate at 2%
- 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 D. Using the graph, estimate how many years it will take for the initial deposit to double. Your answer E. If you deposited $5000O in an account of this type, what would the account balance be when you are 50 years old assuming that you are 20 years of age right now? Your answer OCT 16With 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]You initially invest $400 in a savings account that pays a yearly interest rate of 3%. (a) Write a formula for an exponential function giving the balance in your account as a function of the time since your initial investment. (Let B be the account balance in dollars and t be the number of years since the initial investment.) 8(t)= dollars (b) What monthly interest rate best represents this account? Round your answer to three decimal places. % (c) Calculate the decade growth factor. (Round your answer to two decimal places.) (d) Use the formula you found in part (a) to determine how long it will take for the account to reach $536. (Round your answer to the nearest whole number.) yr Explain how this is consistent with your answer to part (c), At the end of one decade, there will be $ where the account reaches $536 at the end of This --Select-- o the answer found above years,
- The following situations involve the application of the time value of the money concept. Use the full factor when calculating your results. Use the appropriate present or future value table: FV of $1, PV of $1, FV of Annuity of $1, and PV of Annuity of $1 1. Janelle Carter deposited $9,690 in the bank on January 1, 2000, at an interest rate of 10% compounded annually. How much has accumulated in the account by January 1, 2017? Round to the nearest whole dollar.$fill in the blank 1 2. Mike Smith deposited $20,830 in the bank on January 1, 2007. On January 2, 2017, this deposit has accumulated to $64,695. Interest is compounded annually on the account. What rate of interest did Mike earn on the deposit? Round to the nearest whole percent.fill in the blank 2 % 3. Lee Spony made a deposit in the bank on January 1, 2010. The bank pays interest at the rate of 11% compounded annually. On January 1, 2017, the deposit has accumulated to $13,570. How much money did Lee originally deposit on…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…不 a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate Time Financial Goal $? at the end of each year 3% compounded annually 15 years $130,000 Click the icon to view some finance formulas. a. The periodic deposit is $ (Do not round until the final answer. Then round up to the nearest dollar as needed.) this View an example Get more help 4 Clear all Chec
- In the given qustion as follows , consider making monthly deposits of P dollars in a savings account at an annual interest rate r. find the balance A in the account after t years when the interest is compounded (a) monthly and (b) continuously. se the question as attached hereWrite TRUE if the statement is true and FALSE if otherwise. 1. Compounding refers to the earning of interest on interest. 2. Discounting refers to the process of bringing the future back to the present. 3. The more frequently interest is compounded, the larger will be the final or terminal amount. 4. It takes longer than 8 years to retire a $24,000 loan at 8% if the annual payment is $3,000. 5. An annuity of $100 for 10 years is currently lessvaluable if interest rates are 10% instead of 12%. 6. If a person buys a stock for $10 and sells it after 10years for $20, the annual compound return is 10%. 7. Higher rates of interest are associated with greater present values. 8. If interest rates are 9 percent, an annuity of $100 for 10 years is to be preferred to $1,000 after 10 years. 9. If a bank pays 5 percent compounded semi-annually, the true rate of interest is less than 5 percent annually.a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate $? at the end of each month 5.5% compounded monthly Click the icon to view some finance formulas. Time 11 years b. $ of the $200,000 comes from deposits and (Use the answer from part (a) to find these answers. Financial Goal $200,000 a. The periodic deposit is S (Do not round until the final answer. Then round up to the nearest dollar as needed.) 2 comes from interest. Round to the nearest dollar as needed.)