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$5000 invested at an APR of 5 % for 8 years. If interest is compounded annually,

ID: 3037032 • Letter: #

Question

$5000 invested at an APR of 5 % for 8 years. If interest is compounded annually, what is the amount of money after 8 years? $

Thee table to the right shows expenses and income for an individual. Find the net monthly cash flow (it could be negative or positive). Assume that salaries and wages are after taxes, and assume

1 month equals 4 weeks

Income

Salary: $ 2000 divided by month                                                                  

Exspenses

Rent: $ 1090 divided by month

Groceries: $ 90 divided by week

Utilities: $ 110 divided by month

$450

semiannually

$530

semiannually

Gasoline: $ 50 divided by week

Miscellaneous: $ 500 divided by month

Phone: $ 90 divided by month

The net monthly cash flow is

$

.

Explanation / Answer

1) $5000 invested at an APR of 5 % for 8 years. If interest is compounded annually, what is the amount of money after 8 years?

The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n) (nt)

Where:

A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for

A = 5000 ( 1 + 5/100)^8

Amount = 5000 * 1.477

Amount = $ 7387.277