Question

In: Accounting

Brief Exercise A-5 Andrew and Emma Garfield invested $6,000 in a savings account paying 4% annual...

Brief Exercise A-5 Andrew and Emma Garfield invested $6,000 in a savings account paying 4% annual interest when their daughter, Angela, was born. They also deposited $1,000 on each of her birthdays until she was 18 (including her 18th birthday). Click here to view the factor table. (For calculation purposes, use 5 decimal places as displayed in the factor table provided.) How much was in the savings account on her 18th birthday (after the last deposit)? (Round answer to 2 decimal places, e.g. 25.25.) Amount on 18th birthday $

Solutions

Expert Solution

Birthday Beginning Balance Interest Earned Additional Deposit Ending Balance
a b=a*4% c d=a+b+c
0 0 0 $   6,000.00 $ 6,000.00
1 $   6,000.00      240.00        1,000.00     7,240.00
2 $   7,240.00      289.60        1,000.00     8,529.60
3 $   8,529.60      341.18        1,000.00     9,870.78
4 $   9,870.78      394.83        1,000.00 11,265.62
5 $ 11,265.62      450.62        1,000.00 12,716.24
6 $ 12,716.24      508.65        1,000.00 14,224.89
7 $ 14,224.89      569.00        1,000.00 15,793.89
8 $ 15,793.89      631.76        1,000.00 17,425.64
9 $ 17,425.64      697.03        1,000.00 19,122.67
10 $ 19,122.67      764.91        1,000.00 20,887.57
11 $ 20,887.57      835.50        1,000.00 22,723.08
12 $ 22,723.08      908.92        1,000.00 24,632.00
13 $ 24,632.00      985.28        1,000.00 26,617.28
14 $ 26,617.28 1,064.69        1,000.00 28,681.97
15 $ 28,681.97 1,147.28        1,000.00 30,829.25
16 $ 30,829.25 1,233.17        1,000.00 33,062.42
17 $ 33,062.42 1,322.50        1,000.00 35,384.92
18 $ 35,384.92 1,415.40        1,000.00 37,800.31
Thus,
Amount on 18th birthday is $ 37,800.31

Related Solutions

Gary and Debra Garfield invested $7,400 in a savings account paying 8% annual interest when their...
Gary and Debra Garfield invested $7,400 in a savings account paying 8% annual interest when their daughter, Angela, was born. They also deposited $1,000 on each of her birthdays until she was 18 (including her 18th birthday).
  A principal of ​$5500 is invested in an account paying an annual rate of 4​%....
  A principal of ​$5500 is invested in an account paying an annual rate of 4​%. Find the amount in the account after 6 years if the account is compounded​ semiannually, quarterly, and monthly. ​(a) The amount in the account after 6 years if the account is compounded semiannually is $
Jason and Sarah Allen invested $7,200 in a savings account paying 6% annual interest when their...
Jason and Sarah Allen invested $7,200 in a savings account paying 6% annual interest when their daughter, Angela, was born. They also deposited $1,100 on each of her birthdays until she was 16 (including her 16th birthday). Click here to view the factor table 1. Table 2 Table 3 Table 4 How much was in the savings account on her 16th birthday (after the last deposit)? (For calculation purposes, use 5 decimal places as displayed in the factor table provided,...
You invested money in a savings account paying 10% interest seven years ago.
You invested money in a savings account paying 10% interest seven years ago.  The account is now worth $5,527.50.  How much did you invest?
Kyle invested $15,000 in a savings account. If the interest rate is 5% per year, how...
Kyle invested $15,000 in a savings account. If the interest rate is 5% per year, how much will be in the account in 10 years for monthly compounding? Round your answer to the nearest cent. Do NOT round until you calculate the final answer Provide your answer below:
a. How much must you invest today in a savings account paying 4% so that in...
a. How much must you invest today in a savings account paying 4% so that in 15 years you will have $100000 in the account for your son’s college fund? b. How much must you invest annually starting a year from now so that after 15 annual payments your daughter’s college fund will be worth $100000? Again assume the interest rate is 4%.
Matt recently deposited $27,000 in a savings account paying a guaranteed interest rate of 4 percent...
Matt recently deposited $27,000 in a savings account paying a guaranteed interest rate of 4 percent for the next 10 years. A) If Matt expects his marginal tax rate to be 32.00 percent for the next 10 years, how much interest will he earn after-tax for the first year of his investment? B) How much interest will he earn after-tax for the second year of his investment if he withdraws enough cash every year to pay the tax on the...
Matt recently deposited $30,000 in a savings account paying a guaranteed interest rate of 5 percent...
Matt recently deposited $30,000 in a savings account paying a guaranteed interest rate of 5 percent for the next 10 years. If Matt expects his marginal tax rate to be 22 percent for the next 10 years, how much interest will he earn after-tax after the seventh year of his investment if he withdraws enough cash every year to pay the tax on the interest he earns? Dana intends to invest $25,000 in either a Treasury bond or a corporate...
If you deposit $7,000 into a savings account with an annual interest rate of 5% annually...
If you deposit $7,000 into a savings account with an annual interest rate of 5% annually which is compounded monthly, What would be the value of the investment after 10 years? Please show your work.
2. Leslie​ Mosallam, who recently sold her​ Porsche, placed ​$10,800 in a savings account paying annual...
2. Leslie​ Mosallam, who recently sold her​ Porsche, placed ​$10,800 in a savings account paying annual compound interest of 6 percent. Calculate the amount of money that will accumulate if Leslie leaves the money in the bank for 2​, 6​, and 16 ​year(s). B. Suppose Leslie moves her money into an account that pays 8 percent or one that pays 10 percent. Rework part ​(a​) using 8 percent and 10 percent. What conclusions can you draw about the relationship between...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT