Fresh features from the #1 AI-enhanced learning platform.Try it free
Fresh features from the #1 AI-enhanced learning platformCrush your year with the magic of personalized studying.Try it free
Question

The total amount of money in a bank account paying compound interest can be determined by the formula A=P(1+rn)ntA=P\left(1+\frac{r}{n}\right)^{n t}, where PP is the principal (amount deposited), rr is the annual rate of interest expressed as a decimal, nn is the number of times the interest is compounded in one year, and tt is the time in years. Determine the total amount of money in an account at the end of 4 months if the original sum deposited was $2550\$ 2550, the interest rate is 8%8 \%, compounded 4 times a year, and no money is deposited or withdrawn.

Solution

Verified
Answered 1 year ago
Answered 1 year ago
Step 1
1 of 4

We are tasked to solve for the total amount of money AA given the following values:

Time in years: t=4 months=4 months1 year12 months=13 year\mathrm{t = 4 \ months = 4 \ \cancel{months }\cdot \frac{1 \ year}{12 \ \cancel{months }} = \frac{1}{3} \ year}

Principal amount: P=$2550P = \$2550

Interest rate: r=8%=0.08r = 8 \% =0.08

Number of times the interest is compounded in one year: n=4n = 4

Create an account to view solutions

Create an account to view solutions

Recommended textbook solutions

Precalculus 2nd Edition by Carter, Cuevas, Day, Malloy

Precalculus

2nd EditionISBN: 9780076602186 (1 more)Carter, Cuevas, Day, Malloy
8,886 solutions
Advanced Mathematics: A Precalculus Approach 1st Edition by Marvin E. Doubet, Merilyn Ryan, Mona Fabricant, Theron D. Rockhill

Advanced Mathematics: A Precalculus Approach

1st EditionISBN: 9780137157808Marvin E. Doubet, Merilyn Ryan, Mona Fabricant, Theron D. Rockhill
8,008 solutions
Precalculus with Limits 3rd Edition by Larson

Precalculus with Limits

3rd EditionISBN: 9781133962885 (3 more)Larson
11,142 solutions
Precalculus: Mathematics for Calculus 7th Edition by Lothar Redlin, Stewart, Watson

Precalculus: Mathematics for Calculus

7th EditionISBN: 9781305071759 (3 more)Lothar Redlin, Stewart, Watson
9,606 solutions

More related questions

1/4

1/7