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If you deposit $2,000 at the end of each year into an IRA account that is...

If you deposit $2,000 at the end of each year into an IRA account that is expected to earn 8% per year simple interest, how much will be in the account in 30 years? (Answer to the nearest dollar)

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Expert Solution

Calculation of balance in IRA account after 30 years
Year Annuity Deposit amount Interest @ 8% simple interest Cumulative Interest
1 $2,000.00 $2,000.00 $0.00 $0.00
2 $2,000.00 $4,000.00 $160.00 $160.00
3 $2,000.00 $6,000.00 $320.00 $480.00
4 $2,000.00 $8,000.00 $480.00 $960.00
5 $2,000.00 $10,000.00 $640.00 $1,600.00
6 $2,000.00 $12,000.00 $800.00 $2,400.00
7 $2,000.00 $14,000.00 $960.00 $3,360.00
8 $2,000.00 $16,000.00 $1,120.00 $4,480.00
9 $2,000.00 $18,000.00 $1,280.00 $5,760.00
10 $2,000.00 $20,000.00 $1,440.00 $7,200.00
11 $2,000.00 $22,000.00 $1,600.00 $8,800.00
12 $2,000.00 $24,000.00 $1,760.00 $10,560.00
13 $2,000.00 $26,000.00 $1,920.00 $12,480.00
14 $2,000.00 $28,000.00 $2,080.00 $14,560.00
15 $2,000.00 $30,000.00 $2,240.00 $16,800.00
16 $2,000.00 $32,000.00 $2,400.00 $19,200.00
17 $2,000.00 $34,000.00 $2,560.00 $21,760.00
18 $2,000.00 $36,000.00 $2,720.00 $24,480.00
19 $2,000.00 $38,000.00 $2,880.00 $27,360.00
20 $2,000.00 $40,000.00 $3,040.00 $30,400.00
21 $2,000.00 $42,000.00 $3,200.00 $33,600.00
22 $2,000.00 $44,000.00 $3,360.00 $36,960.00
23 $2,000.00 $46,000.00 $3,520.00 $40,480.00
24 $2,000.00 $48,000.00 $3,680.00 $44,160.00
25 $2,000.00 $50,000.00 $3,840.00 $48,000.00
26 $2,000.00 $52,000.00 $4,000.00 $52,000.00
27 $2,000.00 $54,000.00 $4,160.00 $56,160.00
28 $2,000.00 $56,000.00 $4,320.00 $60,480.00
29 $2,000.00 $58,000.00 $4,480.00 $64,960.00
30 $2,000.00 $60,000.00 $4,640.00 $69,600.00
IRA balance after 30 years = Cumulative Deposit value + Cumulative interest value
IRA balance after 30 years = $60000 + $69600 = $1,29,600

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