Question

Tina would like to withdraw an annual salary of $35,756 from an account paying 2.2% compounded annually for 35 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. a. $801,263.20 b. $866,442.02 c. $885,503.75 d. $1,213,299.,90 Please select the best answer from the choices provided A B C D

Answer 1

To determine the amount needed in Tina's account in order for her to reach her goal of withdrawing $35,756 annually for 35 years, you can use the formula for compound interest:A = P(1 + r)^tWhere:A is the final amount needed in the accountP is the present amount in the accountr is the annual interest rate (expressed as a decimal)t is the number of yearsThis formula assumes that no other contributions are made to the account after the initial deposit.Now we can use this formula, by substituting the given values we have:

A = P(1 + 0.022)^35And, we know that A = 35,756*35 = $1,252,460So we have an equation as:

1,252,460 = P (1 + 0.022)^35We can solve for P by taking the natural logarithm of both sides:

ln (1,252,460) = ln (P) + 35 ln (1 + 0.022)then, by dividing both sides by 35 ln (1 + 0.022)P = 1,252,460 / (1 + 0.022)^35P = $ 885,503.75So Tina needs $885,503.75 in her account for her to reach her goal of withdrawing $35,756 annually for 35 years. Choice C is the correct answer.

Step-by-step explanation:

hope this helps