Suppose an initial principal P is deposited in an account that pays an annual rate of interest I ...
1. Suppose an initial principal P is deposited in an account that pays an annual rate of interest i compounded m times per year. Show that the accumulated amount aftert years A(t) is given by
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 $1000 is deposited into an account that pays 5% interest per year, at the end of each year, the amount in the account is 1.05 times the amount at the beginning of the year. Write a MATLAB program with a for loop to calculate the amount in the account after 10, 20, and 30 years. Repeat problem 1, assuming that the interest is compounded quarterly; that is, one-fourth of the annual interest (1.25%) is added to the account...
1) If $4000 is deposited in a savings account that earns interest at an annual rate of 2.5% interest compounded continuously, what is the value of the account at the end of two years? 2) A trust fund for a 11-year-old child is being set up by a single payment so that at age 21 the child will receive $37,000. Find how much the payment is if an interest rate of 9% compounded semiannually is assumed. 3) A bank account...
Suppose that money is deposited daily into a savings account at an annual rate of $1000. If the account pays 4% interest compounded continuously, estimate the balance in the account at the end of 3 years. The approximate balance in the account is $ (Round to the nearest dollar as needed.)
Suppose that money is deposited daily into a savings account at an annual rate of $19,000. If the account pays 5% interest compounded continuously, estimate the balance in the account at the end of 3 years. The approximate balance in the account is $ 1. (Round to the nearest dollar as needed.)
The amount of money in an account with continuously compounded interest is given by the formula A = Pert, where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the hundredth of a year how long it takes for an amount of money to double if interest is compounded continuously at 6.5%. please help!the formula is A=Pe^rt, I assume yours was a typo Consider any Principal, eg P=100 so you...
QUESTION 6 $40,000 is deposited in an account that pays 5.5% annual interest. You want to track the balance of the account over the course of 10 years. Compare the balance in the account after 2 years, 5 years, and 10 years for a simple interest account and an account compounded semi-annually.
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate. Find how much money will be in the account after the given number of years (Assume 360 days in a year.), and how much interest was earned. Int A P A = Pert n nt 1 + 38) Principal: $10,000 Rate: 5% Compounded: semiannually Time: 5 years A) amount in account: $11,314.08; interest earned: $1314.08 B) amount in account: $12,762.82;...
I NEED THE PSEUDOCODE New Balance = Principal * (1 + rate/T)T Principal is the opening balance in the account. Rate is the interest rate, and T is the number of times the interest is compounded during a year (T is 4 if the interest is compounded quarterly). Write a program that prompts the user for the principal, the interest rate, and the number of times the interest is compounded. The output must be formatted in the following format: Interest...