108k views
4 votes
The principal P is borrowed at a simple interest rate r for a period of time t. Find the​ loan's future value​ A, or the total amount due at time t.

P=​$1000​, r=5.0​%, t=6 months

1 Answer

4 votes

Explanation:

To calculate the future value of a loan with simple interest, we can use the formula:

A = P(1 + rt)

where A is the future value or total amount due, P is the principal, r is the interest rate, and t is the time period in years.

In this case, we have:

P = $1000

r = 5.0% = 0.05 (expressed as a decimal)

t = 6 months = 0.5 years (since there are 12 months in a year)

Plugging these values into the formula, we get:

A = $1000(1 + 0.05 x 0.5)

A = $1000(1.025)

A = $1025

Therefore, the future value or total amount due on the loan after 6 months is $1025.

User CAustin
by
7.3k points