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?
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
3. If $2,800 is discounted back 4 years at an interest rate of 8% compounded semi-annually,...
3. If $2,800 is discounted back 4 years at an interest rate of 8% compounded semi-annually, what would be the present value? . 4. Consider a newlywed who is planning a wedding anniversary gift of a trip to Canada for her husband at the end of 10 years. She will have enough to pay for the trip if she invests $4,000 per year until that anniversary and plans to make her first $4,000 investment on their first anniversary. Assume her...