At the time of her​ grandson's birth, a grandmother deposits $12000 in an account that pays 4% compounded monthly. What will be the value of the account at the​ child's twenty-first​ birthday, assuming that no other deposits or withdrawals are made during this​ period? This is what I have thus far: P=12000 r=4% = 0.04 t=21 (#of years) n=12 (monthly) A=12000(1+0.04/12)12(21) A=12000*1.003 = 1203612(21) having trouble calculating the exponents. I am getting $25527.98, but answer is $27758 and I don't know what I am doing wrong, please help

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.59TI: New grandparents decide to invest 3200 per month in an annuity for their grandson, The account will...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%

At the time of her​ grandson's birth, a grandmother deposits $12000 in an account that pays 4% compounded monthly. What will be the value of the account at the​ child's twenty-first​ birthday, assuming that no other deposits or withdrawals are made during this​ period?

This is what I have thus far:

P=12000

r=4% = 0.04

t=21 (#of years)

n=12 (monthly)

A=12000(1+0.04/12)12(21)

A=12000*1.003 = 1203612(21)

having trouble calculating the exponents. I am getting $25527.98, but answer is $27758 and I don't know what I am doing wrong, please help

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning