Question

Aryanna invests $30,000 today into an investment that earns 5% annually, but interest is compounded continuously....

Aryanna invests $30,000 today into an investment that earns 5% annually, but interest is compounded continuously. What is the future value of this investment 15 years from today? Select one:

a. $63,500

b. $72,300

c. $81,100

d. $67,500

e. $62,400

Homework Answers

Answer #1

Future value :Amount *E^rt

              30000 * e^.05*15

              30000 * e ^.75

              30000*2.117

                $ 63510      [approx to 63500]

correct option is "A"

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A. Suppose you invest $83736 today in an account that earns 13% interest annually. How much...
A. Suppose you invest $83736 today in an account that earns 13% interest annually. How much money will be in your account 7 years from today? B. What is the value today of single payment of $36665, 18 years from today if the value is discounted at a rate of 19%? C. How many years would it take an investment of $172 to grow to $18096 at an annual rate of return of 15%? D. How much money would you...
Foxtrot invests $440 today into an account that earns 14% simple interest. Golf invests $440 today...
Foxtrot invests $440 today into an account that earns 14% simple interest. Golf invests $440 today into an account that earns 8.8% compound interest. What is the balance of the account with a greater value in 14 years?
Suppose we have an investment that earns interest compounded continuously and it takes 12 years for...
Suppose we have an investment that earns interest compounded continuously and it takes 12 years for an initial investment of 20,000 to grow to 80,000 under this investment. How long does it take for the same initial investment of 20,000 to grow to 60,000?
An investment of 9,000 earns interest at an annual rate of 7% compounded continuously. Find the...
An investment of 9,000 earns interest at an annual rate of 7% compounded continuously. Find the instantaneous rate of change of the amount in the account after 1 year.
An investment of ​$4885.45 earns interest at 4​% per annum compounded semi-annually for 4 years. At...
An investment of ​$4885.45 earns interest at 4​% per annum compounded semi-annually for 4 years. At that time the interest rate is changed to 7.2% compounded quarterly. How much will the accumulated value be 4.5 years after the​ change? The accumulated value is ​$. ​(Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as​ needed.)
I am making an investment today in an account providing 3% annual interest compounded annually. Identify...
I am making an investment today in an account providing 3% annual interest compounded annually. Identify the details below that I need in order to determine the dollar amount I must invest today in order to have $50,000 in 5 years. What table must I use to find the relevant factor? Future value of single-sum Present value of single-sum Future value of ordinary annuity Present value of ordinary annuity   What is the interest rate to find the relevant factor?   What...
Ten thousand dollars is deposited into a fund today. The fund earns 8% compounded annually. One...
Ten thousand dollars is deposited into a fund today. The fund earns 8% compounded annually. One year from now $20,000 will be deposited to the fund. If the funds are withdrawn in 5 equal annual amounts starting 2 years from now, how much will each withdrawal be?
Q1) Suppose you invest $66,624 today in an account that earns 13.00% interest annually. How much...
Q1) Suppose you invest $66,624 today in an account that earns 13.00% interest annually. How much money will be in your account 11 years from today? Q2) What is the value today, of single payment of $51,252 made 13 years from today, if the value is discounted at a rate of 04.00%? Q3) How many years would it take an investment of $333 to grow to $10,789 at an annual rate of return of 11.00%? Q4) How much money would...
Problem 1.10 You deposit $5,000 in an account that earns 5% interest compounded annually in years...
Problem 1.10 You deposit $5,000 in an account that earns 5% interest compounded annually in years 1 and 2, and thereafter a continuous rate δ(t) = 2/(t + 1) (t ≥ 0). What is the value of the account after 5 years? Problem 1.11 Suppose an initial investment of $100 grows according to the accumulated amount function A(t) = 100(1 + 0.05t) (t ≥ 0). (a) Find the effective rate of interest earned during the 5th year i5. (b) Find...
7. Your investment account pays 5.6%, compounded annually. If you invest $5,000 today, how many years...
7. Your investment account pays 5.6%, compounded annually. If you invest $5,000 today, how many years will it take for your investment to grow to $9,140.20? Select the correct answer. a. 12.27 b. 13.47 c. 9.87 d. 11.07 e. 14.67