# Compound Interest

### Basic Concepts

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**

**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**