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4. You would like to invest 58,500 in a savings account that pays interest of 1.35%,...
1. Suppose you have A, dollars to invest in a savings account eaming an annual interest rate of r percent compounded continuously. Furthermore, suppose that you make annual deposits of d dollars to the account. The differential equation governing this situation is dA =rA+d, AO) = Ao (a) Find an equation for the future value Ac) of the account by solving the aforementioned initial value problem. Be sure your solution is correct as this will be used for the remaining...
You are making $500 monthly deposits into a savings account that pays interest at a nominal rate of 6% per year, compounded monthly. What is the future equivalent value of this account after six years? The future equivalent value of this account after six years is $0 (Round to the nearest dollar.)
If you put $6,000 in a saving account that pays interest at the rate of 3% compounded annually, how much will you have in 5 years? (Hint: Use the future value formula.) How much interest will you earn during the 5-year period? If you put $6,000 each year into a savings account that pays interest at a rate of 4% a year, how much would you have after 5 years? Please explain your answers
Show the excel formulas used Ex. 1 You have $5,000 in your savings account that pays 4% interest. How much will you have in your account after 20 years, a) if your bank pays annually compounded interest? b) if your bank pays monthly compounded interest? c) if your bank pays daily compounded interest? Current balance Interest Years Compounding Annually Monthly Daily a) FV b) FV c) FV Ex. 2 If you need $10,000 in 7 years and you can earn...
12. Compound interest. You invest $1000 in an account that pays 5% compounded annually. What is the balance after two years? 13. Compounding using different periods. You invest $2000 in an account that pays an APR of 6%. a. What is the value of the investment after three years if interest is compounded yearly? Round your
Future Value 13. You invest $10,000 today in a retirement account that pays 6 percent interest compounded annually. What is the total balance in the account 10 years from today? a. $17,908 14. You invest $10,000 today in a retirement account that pays 6 percent interest compounded annually. What is the total balance in the account 20 years from today? a. $32,071
6 If you invest $6,000 today in a savings account at an interest rate of 4% compounded anually, how much principal and interest would you accumulate in 10 years?
14.Compound Interest hank account pays compound interest, it pays interest not only on the principal amount that was deposited into the account, but also on the interest that has accumulated over time. Suppose you want to deposit some money into a savings account, and let the account earn compound interest for a certain number of years. The formula for calculating the balance of the account afer a specified namber of years is The terms in the formula are A is...
Suppose that $17,000 is invested in a savings account paying 6.2% interest per year. (a) Write the formula for the amount A in the account after years of interest is compounded monthly Att) - (b) Find the amount in the account after 5 years ir interest is compounded daily (Round your answer to two decimal places) (c) How long will it take for the amount in the account to grow to $20,000 ir interest is compounded continuously? (Round your answer...
If you invest $7,000 into a savings account that yields quarterly compound interest with an annual interest rate of 7%, how much will you have in the savings account after 19 years?