Question

Arn.hawkeslearning.com/portal/test/testtaketesti 00:28:59 question 23 of 29 step 1 of 2 mary ann has recently inherited $5100. which she wants to deposit into an ira account she has determined that her two best bets are an account that compounds emi-annually at an annual rate of 5.5% (account 1) and an account that compounds daily at'an annual rate of 3.4% (account 2). step 1 of 2: which account would pay mary ann more interest? answer 2 points keypad keyboard shortcuts account 1 account 2 prev d

Answer 1

Mary Ann will prefer Account 1

The use of "Compounding interest rate," which involves adding interest to the deposit's principal amount, is the main topic of discussion here.

Mary Ann's balance from account 2 over 3.7 years is $6,261.37

The below calculation is to derive maturity and value when an annual rate of 5.5% is applied.

Principal = $5,100

Annual rate = 5.5% semi-annually for 1 years

A = P(1+r/m)^n*t where n=1, t=2

A = 5,400*(1 + 0.031/2)^1*2

A = 5,400*(1.0155)^2

A = 5,400*1.03124025

A = 5568.69735

A = $5,568.70.

In conclusion, the accrued value she will get years one year for this account is $5,568.70,

When the amount compounds continuously at a rate of 3.4% per year, the maturity value is determined by the calculation below.

Principal = $5,400

Annual rate = 3.4% continuously

A = P.e^rt where n=1

A = 5,400 * e^(0.04*1)

A = 5,400 * 1.04081077419

A = 5620.378180626

A = $5,620.39.

In conclusion, the accrued value she will greater one year for this account is $5,620.39.

Referring to how much would Mary Ann's balance be from Account 2 over 3.7 years. It is calculated as follows:

Annual rate = 3.4% continuously

A = P.e^rt where n=3.7

A = 5,400 * e^(0.04*3.7)

A = 5,400 * e^0.148

A = 5,400 * 1.15951289636

A = 6261.369640344

A = $6,261.37

Therefore, the accrued value she will get after 3.7 years for this account is $6,261.37

Learn more about the Annual rate here

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