Compound Interest

Basic Concepts

  1. What is the formula for compound interest?
    • A) A=P(1+r/n)ntA = P(1 + r/n)^{nt}A=P(1+r/n)nt
    • B) A=P(1+rt)A = P(1 + rt)A=P(1+rt)
    • C) A=P(1+r/n)nA = P(1 + r/n)^{n}A=P(1+r/n)n
    • D) A=P×r×tA = P \times r \times tA=P×r×t
    • Answer: A
  2. If $1000 is invested at an annual interest rate of 5% compounded annually for 3 years, what will be the amount?
    • A) $1157.63
    • B) $1157.50
    • C) $1155.00
    • D) $1150.00
    • Answer: A
  3. What is the compound interest earned on $2000 at an annual interest rate of 6% compounded annually for 2 years?
    • A) $248.00
    • B) $248.80
    • C) $252.00
    • D) $252.80
    • Answer: B
  4. If $1500 is invested for 4 years at an annual interest rate of 8% compounded annually, what is the total amount?
    • A) $2000.00
    • B) $2001.00
    • C) $2006.57
    • D) $2010.00
    • Answer: C
  5. What is the compound interest on $3000 at an annual interest rate of 7% compounded semi-annually for 5 years?
    • A) $2204.93
    • B) $2205.00
    • C) $2206.75
    • D) $2210.00
    • Answer: A
  6. The future value of $5000 invested for 3 years at an annual interest rate of 4% compounded annually is?
    • A) $5624.00
    • B) $5624.80
    • C) $5625.00
    • D) $5632.00
    • Answer: B
  7. If $800 is invested at an annual interest rate of 9% compounded quarterly, what will be the amount after 2 years?
    • A) $955.21
    • B) $955.50
    • C) $956.00
    • D) $956.40
    • Answer: A
  8. How much will $1200 grow to in 5 years if invested at an annual interest rate of 6% compounded annually?
    • A) $1608.00
    • B) $1609.00
    • C) $1609.80
    • D) $1610.00
    • Answer: C
  9. The amount of compound interest earned on $1000 at an annual interest rate of 10% compounded annually for 1 year is?
    • A) $100.00
    • B) $110.00
    • C) $120.00
    • D) $130.00
    • Answer: B
  10. What will be the future value of an investment of $2500 at an annual interest rate of 8% compounded annually for 4 years?
    • A) $3361.24
    • B) $3364.00
    • C) $3368.00
    • D) $3370.00
    • Answer: A

Intermediate Calculations

  1. If $5000 is invested for 2 years at an annual interest rate of 6% compounded monthly, what is the amount?
    • A) $5630.41
    • B) $5631.00
    • C) $5632.00
    • D) $5635.00
    • Answer: A
  2. What is the total amount after 3 years if $2000 is invested at an annual interest rate of 7% compounded quarterly?
    • A) $2452.79
    • B) $2453.00
    • C) $2454.10
    • D) $2455.00
    • Answer: A
  3. The future value of an investment of $6000 at an annual interest rate of 5% compounded semi-annually for 3 years is?
    • A) $6968.70
    • B) $6969.00
    • C) $6970.00
    • D) $6971.00
    • Answer: A
  4. If $2500 is invested for 5 years at an annual interest rate of 8% compounded annually, what is the compound interest earned?
    • A) $1040.00
    • B) $1045.00
    • C) $1048.00
    • D) $1050.00
    • Answer: C
  5. What will be the future value of an investment of $3500 at an annual interest rate of 7% compounded quarterly for 4 years?
    • A) $4594.40
    • B) $4595.00
    • C) $4597.00
    • D) $4600.00
    • Answer: A
  6. How much will $900 grow to in 3 years if the interest rate is 5% compounded monthly?
    • A) $1042.77
    • B) $1043.00
    • C) $1045.00
    • D) $1047.00
    • Answer: A
  7. If $3000 is invested at an annual interest rate of 4% compounded quarterly, what is the amount after 6 years?
    • A) $3792.15
    • B) $3793.00
    • C) $3795.00
    • D) $3796.00
    • Answer: A
  8. What will be the amount after 4 years if $1800 is invested at an annual interest rate of 8% compounded semi-annually?
    • A) $2473.90
    • B) $2475.00
    • C) $2478.00
    • D) $2480.00
    • Answer: A
  9. The compound interest earned on $1500 at an annual interest rate of 7% compounded monthly for 2 years is?
    • A) $226.80
    • B) $227.00
    • C) $228.00
    • D) $229.00
    • Answer: A
  10. If $8000 is invested at an annual interest rate of 9% compounded quarterly for 5 years, what will be the total amount?
    • A) $12850.68
    • B) $12851.00
    • C) $12855.00
    • D) $12860.00
    • Answer: A

Advanced Calculations

  1. How much will an investment of $1500 grow to in 6 years if the annual interest rate is 10% compounded annually?
    • A) $2685.70
    • B) $2686.00
    • C) $2688.00
    • D) $2690.00
    • Answer: A
  2. What is the compound interest earned on $2000 at an annual interest rate of 8% compounded quarterly for 3 years?
    • A) $564.85
    • B) $565.00
    • C) $566.00
    • D) $567.00
    • Answer: A
  3. If $3500 is invested at an annual interest rate of 5% compounded semi-annually, what will be the amount after 7 years?
    • A) $4915.30
    • B) $4916.00
    • C) $4917.50
    • D) $4920.00
    • Answer: A
  4. The future value of an investment of $1000 at an annual interest rate of 6% compounded continuously for 4 years is?
    • A) $1280.08
    • B) $1281.00
    • C) $1282.00
    • D) $1283.00
    • Answer: A
  5. How much will $5000 grow to in 10 years if invested at an annual interest rate of 7% compounded quarterly?
    • A) $9924.83
    • B) $9925.00
    • C) $9928.00
    • D) $9930.00
    • Answer: A
  6. If $8000 is invested for 4 years at an annual interest rate of 5% compounded monthly, what is the compound interest earned?
    • A) $1764.40
    • B) $1765.00
    • C) $1766.00
    • D) $1767.00
    • Answer: A
  7. What is the total amount of an investment of $1200 at an annual interest rate of 8% compounded semi-annually for 5 years?
    • A) $1774.91
    • B) $1775.00
    • C) $1776.00
    • D) $1777.00
    • Answer: A
  8. If you invest $2500 at an annual interest rate of 9% compounded annually, what will be the amount after 8 years?
    • A) $5375.62
    • B) $5376.00
    • C) $5377.00
    • D) $5380.00
    • Answer: A
  9. What is the compound interest on $4000 at an annual interest rate of 6% compounded quarterly for 3 years?
    • A) $797.44
    • B) $798.00
    • C) $799.00
    • D) $800.00
    • Answer: A
  10. The amount of compound interest earned on $6000 at an annual interest rate of 7% compounded semi-annually for 5 years is?
    • A) $2746.64
    • B) $2747.00
    • C) $2748.00
    • D) $2750.00
    • Answer: A

More Complex Scenarios

  1. What is the amount after 7 years if $2000 is invested at an annual interest rate of 4% compounded monthly?
    • A) $2740.77
    • B) $2741.00
    • C) $2742.00
    • D) $2745.00
    • Answer: A
  2. How much will $4000 grow to in 6 years if invested at an annual interest rate of 9% compounded quarterly?
    • A) $7550.85
    • B) $7552.00
    • C) $7555.00
    • D) $7560.00
    • Answer: A
  3. If $1000 is invested for 5 years at an annual interest rate of 6% compounded monthly, what is the compound interest earned?
    • A) $338.09
    • B) $338.50
    • C) $339.00
    • D) $340.00
    • Answer: A
  4. What is the future value of an investment of $1500 at an annual interest rate of 8% compounded annually for 7 years?
    • A) $2813.58
    • B) $2814.00
    • C) $2815.00
    • D) $2820.00
    • Answer: A
  5. If you invest $5000 for 3 years at an annual interest rate of 7% compounded quarterly, what is the total amount?
    • A) $6122.45
    • B) $6123.00
    • C) $6125.00
    • D) $6130.00
    • Answer: A
  6. What will be the future value of $3000 invested at an annual interest rate of 5% compounded semi-annually for 10 years?
    • A) $4895.11
    • B) $4896.00
    • C) $4900.00
    • D) $4905.00
    • Answer: A
  7. The compound interest earned on $2000 at an annual interest rate of 9% compounded monthly for 4 years is?
    • A) $884.50
    • B) $885.00
    • C) $886.00
    • D) $887.00
    • Answer: A
  8. If $10000 is invested for 5 years at an annual interest rate of 8% compounded quarterly, what will be the total amount?
    • A) $14885.48
    • B) $14886.00
    • C) $14890.00
    • D) $14900.00
    • Answer: A
  9. What is the compound interest on $7000 at an annual interest rate of 6% compounded annually for 4 years?
    • A) $1714.40
    • B) $1715.00
    • C) $1716.00
    • D) $1717.00
    • Answer: A
  10. How long will it take for an investment of $5000 to grow to $8000 at an annual interest rate of 7% compounded annually?
    • A) 8.47 years
    • B) 8.50 years
    • C) 8.55 years
    • D) 8.60 years
    • Answer: A

Additional Questions

  1. What is the future value of $1000 invested at an annual interest rate of 5% compounded quarterly for 3 years?
    • A) $1157.63
    • B) $1158.00
    • C) $1158.40
    • D) $1160.00
    • Answer: A
  2. The amount of compound interest earned on $2500 at an annual interest rate of 6% compounded quarterly for 3 years is?
    • A) $527.09
    • B) $527.50
    • C) $528.00
    • D) $528.50
    • Answer: A
  3. If $3000 is invested at an annual interest rate of 7% compounded annually, what will be the amount after 6 years?
    • A) $5067.21
    • B) $5068.00
    • C) $5070.00
    • D) $5072.00
    • Answer: A
  4. What will be the amount of $4000 invested at an annual interest rate of 8% compounded semi-annually for 5 years?
    • A) $5896.57
    • B) $5897.00
    • C) $5898.00
    • D) $5900.00
    • Answer: A
  5. If you invest $1200 at an annual interest rate of 6% compounded monthly, what will be the future value after 8 years?
    • A) $2290.75
    • B) $2291.00
    • C) $2292.00
    • D) $2295.00
    • Answer: A
  6. The future value of $2500 invested at an annual interest rate of 9% compounded annually for 4 years is?
    • A) $3304.87
    • B) $3305.00
    • C) $3306.00
    • D) $3310.00
    • Answer: A
  7. How much will $7000 grow to in 6 years if invested at an annual interest rate of 5% compounded quarterly?
    • A) $9446.15
    • B) $9447.00
    • C) $9448.00
    • D) $9450.00
    • Answer: A
  8. What is the compound interest earned on $5000 at an annual interest rate of 6% compounded monthly for 7 years?
    • A) $2351.16
    • B) $2351.50
    • C) $2352.00
    • D) $2353.00
    • Answer: A
  9. If $2500 is invested for 4 years at an annual interest rate of 7% compounded semi-annually, what will be the total amount?
    • A) $3284.69
    • B) $3285.00
    • C) $3286.00
    • D) $3290.00
    • Answer: A
  10. What is the future value of $4000 invested at an annual interest rate of 6% compounded annually for 8 years?
    • A) $6380.40
    • B) $6381.00
    • C) $6382.00
    • D) $6385.00
    • Answer: A
  11. The amount of compound interest earned on $5000 at an annual interest rate of 7% compounded annually for 5 years is?
    • A) $3514.02
    • B) $3515.00
    • C) $3516.00
    • D) $3520.00
    • Answer: A
  12. If $1500 is invested for 4 years at an annual interest rate of 12% compounded quarterly, what will be the amount?
    • A) $2149.59
    • B) $2150.00
    • C) $2152.00
    • D) $2155.00
    • Answer: A
  13. What will be the future value of $6000 invested at an annual interest rate of 8% compounded quarterly for 3 years?
    • A) $7540.53
    • B) $7541.00
    • C) $7542.00
    • D) $7545.00
    • Answer: A
  14. The future value of an investment of $8000 at an annual interest rate of 5% compounded monthly for 7 years is?
    • A) $11214.47
    • B) $11215.00
    • C) $11216.00
    • D) $11220.00
    • Answer: A
  15. If $3500 is invested for 6 years at an annual interest rate of 6% compounded monthly, what is the total amount?
    • A) $5523.25
    • B) $5523.50
    • C) $5524.00
    • D) $5525.00
    • Answer: A
  16. What is the amount of compound interest earned on $2000 at an annual interest rate of 7% compounded annually for 5 years?
    • A) $1402.00
    • B) $1403.00
    • C) $1404.00
    • D) $1405.00
    • Answer: A
  17. How long will it take for an investment of $4000 to grow to $6000 at an annual interest rate of 5% compounded annually?
    • A) 8.19 years
    • B) 8.20 years
    • C) 8.25 years
    • D) 8.30 years
    • Answer: A
  18. What is the future value of $1200 invested at an annual interest rate of 6% compounded quarterly for 6 years?
    • A) $1748.60
    • B) $1749.00
    • C) $1750.00
    • D) $1751.00
    • Answer: A
  19. The amount of compound interest earned on $1000 at an annual interest rate of 10% compounded quarterly for 3 years is?
    • A) $331.00
    • B) $332.00
    • C) $333.00
    • D) $334.00
    • Answer: A
  20. If $8000 is invested for 5 years at an annual interest rate of 9% compounded quarterly, what will be the total amount?
    • A) $12460.64
    • B) $12461.00
    • C) $12462.00
    • D) $12465.00
    • Answer: A

What is the total amount of an investment of $3000 at an annual interest rate of 5% compounded annually for 6 years?

  • A) $4030.00
  • B) $4031.00
  • C) $4032.00
  • D) $4035.00
  • Answer: A

If $4000 is invested at an annual interest rate of 7% compounded semi-annually, what will be the amount after 4 years?

  • A) $5326.37
  • B) $5327.00
  • C) $5328.00
  • D) $5330.00
  • Answer: A

What is the compound interest earned on $1500 at an annual interest rate of 8% compounded monthly for 3 years?

  • A) $406.43
  • B) $406.50
  • C) $407.00
  • D) $407.50
  • Answer: A

How much will $5000 grow to in 5 years if invested at an annual interest rate of 6% compounded quarterly?

  • A) $6735.40
  • B) $6736.00
  • C) $6737.00
  • D) $6740.00
  • Answer: A

What is the future value of an investment of $2000 at an annual interest rate of 9% compounded annually for 7 years?

  • A) $3631.88
  • B) $3632.00
  • C) $3633.00
  • D) $3635.00
  • Answer: A

The amount of compound interest earned on $8000 at an annual interest rate of 7% compounded annually for 6 years is?

  • A) $3775.24
  • B) $3776.00
  • C) $3777.00
  • D) $3780.00
  • Answer: A

If $10000 is invested at an annual interest rate of 4% compounded monthly for 5 years, what is the total amount?

  • A) $12208.64
  • B) $12209.00
  • C) $12210.00
  • D) $12212.00
  • Answer: A

What is the amount of compound interest earned on $6000 at an annual interest rate of 5% compounded quarterly for 4 years?

  • A) $1314.62
  • B) $1315.00
  • C) $1316.00
  • D) $1320.00
  • Answer: A

How long will it take for an investment of $7000 to grow to $10500 at an annual interest rate of 8% compounded semi-annually?

  • A) 8.58 years
  • B) 8.60 years
  • C) 8.65 years
  • D) 8.70 years
  • Answer: A

What is the future value of $2500 invested at an annual interest rate of 6% compounded monthly for 5 years?

  • A) $3354.16
  • B) $3355.00
  • C) $3356.00
  • D) $3360.00
  • Answer: A

The compound interest on $3000 at an annual interest rate of 5% compounded monthly for 2 years is?

  • A) $309.86
  • B) $310.00
  • C) $310.50
  • D) $311.00
  • Answer: A

How much will $1500 grow to in 10 years if invested at an annual interest rate of 9% compounded quarterly?

  • A) $3935.05
  • B) $3936.00
  • C) $3937.00
  • D) $3940.00
  • Answer: A

What is the compound interest earned on $5000 at an annual interest rate of 7% compounded annually for 3 years?

  • A) $1152.50
  • B) $1153.00
  • C) $1154.00
  • D) $1155.00
  • Answer: A

If you invest $9000 at an annual interest rate of 8% compounded annually, what will be the amount after 5 years?

  • A) $13243.20
  • B) $13244.00
  • C) $13245.00
  • D) $13250.00
  • Answer: A

What is the future value of an investment of $4000 at an annual interest rate of 6% compounded semi-annually for 3 years?

  • A) $4754.56
  • B) $4755.00
  • C) $4756.00
  • D) $4760.00
  • Answer: A

How long will it take for an investment of $5000 to grow to $8000 at an annual interest rate of 6% compounded monthly?

  • A) 8.89 years
  • B) 8.90 years
  • C) 8.95 years
  • D) 9.00 years
  • Answer: A

The amount of compound interest earned on $3500 at an annual interest rate of 8% compounded annually for 4 years is?

  • A) $1231.42
  • B) $1232.00
  • C) $1233.00
  • D) $1235.00
  • Answer: A

What is the future value of $6000 invested at an annual interest rate of 5% compounded monthly for 6 years?

  • A) $8082.48
  • B) $8083.00
  • C) $8084.00
  • D) $8090.00
  • Answer: A

If $2500 is invested at an annual interest rate of 7% compounded annually, what will be the amount after 9 years?

  • A) $5003.37
  • B) $5004.00
  • C) $5005.00
  • D) $5010.00
  • Answer: A

What is the compound interest earned on $8000 at an annual interest rate of 6% compounded quarterly for 2 years?

  • A) $978.64
  • B) $979.00
  • C) $980.00
  • D) $981.00
  • Answer: A

How much will $2000 grow to in 8 years if invested at an annual interest rate of 5% compounded annually?

  • A) $2950.24
  • B) $2951.00
  • C) $2952.00
  • D) $2955.00
  • Answer: A

What is the future value of an investment of $3000 at an annual interest rate of 4% compounded quarterly for 7 years?

  • A) $3935.84
  • B) $3936.00
  • C) $3937.00
  • D) $3940.00
  • Answer: A

If $4000 is invested for 5 years at an annual interest rate of 9% compounded quarterly, what will be the total amount?

  • A) $6244.70
  • B) $6245.00
  • C) $6246.00
  • D) $6250.00
  • Answer: A

What is the compound interest earned on $10000 at an annual interest rate of 3% compounded semi-annually for 4 years?

  • A) $1261.94
  • B) $1262.00
  • C) $1263.00
  • D) $1265.00
  • Answer: A

The future value of $5000 invested at an annual interest rate of 6% compounded quarterly for 3 years is?

  • A) $5970.00
  • B) $5971.00
  • C) $5972.00
  • D) $5980.00
  • Answer: A

How long will it take for an investment of $6000 to grow to $9000 at an annual interest rate of 5% compounded annually?

  • A) 7.94 years
  • B) 8.00 years
  • C) 8.05 years
  • D) 8.10 years
  • Answer: A

What is the total amount of an investment of $7000 at an annual interest rate of 4% compounded annually for 5 years?

  • A) $8548.00
  • B) $8549.00
  • C) $8550.00
  • D) $8555.00
  • Answer: A

If $9000 is invested at an annual interest rate of 8% compounded monthly, what will be the amount after 4 years?

  • A) $12038.21
  • B) $12039.00
  • C) $12040.00
  • D) $12045.00
  • Answer: A

What is the compound interest earned on $2500 at an annual interest rate of 7% compounded annually for 6 years?

  • A) $479.10
  • B) $480.00
  • C) $481.00
  • D) $482.00
  • Answer: A

How much will $3000 grow to in 10 years if invested at an annual interest rate of 6% compounded semi-annually?

  • A) $5386.61
  • B) $5387.00
  • C) $5388.00
  • D) $5390.00
  • Answer: A

What is the future value of an investment of $4000 at an annual interest rate of 7% compounded monthly for 5 years?

  • A) $5615.78
  • B) $5616.00
  • C) $5617.00
  • D) $5620.00
  • Answer: A

The compound interest earned on $5000 at an annual interest rate of 5% compounded quarterly for 3 years is?

  • A) $796.14
  • B) $797.00
  • C) $798.00
  • D) $799.00
  • Answer: A

How long will it take for an investment of $2500 to grow to $3750 at an annual interest rate of 8% compounded semi-annually?

  • A) 8.88 years
  • B) 8.90 years
  • C) 8.95 years
  • D) 9.00 years
  • Answer: A

What is the future value of $8000 invested at an annual interest rate of 5% compounded annually for 6 years?

  • A) $10771.76
  • B) $10772.00
  • C) $10773.00
  • D) $10775.00
  • Answer: A

What is the amount of compound interest earned on $2000 at an annual interest rate of 6% compounded quarterly for 2 years?

  • A) $249.54
  • B) $250.00
  • C) $250.50
  • D) $251.00
  • Answer: A

If $4000 is invested at an annual interest rate of 7% compounded quarterly, what will be the total amount after 3 years?

  • A) $4897.43
  • B) $4898.00
  • C) $4899.00
  • D) $4900.00
  • Answer: A

What is the future value of an investment of $3500 at an annual interest rate of 6% compounded annually for 5 years?

  • A) $4678.20
  • B) $4679.00
  • C) $4680.00
  • D) $4685.00
  • Answer: A

The compound interest earned on $1200 at an annual interest rate of 9% compounded monthly for 4 years is?

  • A) $520.96
  • B) $521.00
  • C) $521.50
  • D) $522.00
  • Answer: A

How much will $1500 grow to in 7 years if invested at an annual interest rate of 6% compounded semi-annually?

  • A) $2244.29
  • B) $2245.00
  • C) $2246.00
  • D) $2250.00
  • Answer: A