10th Grade Simple and Compound Interest Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the 10th Grade financial math worksheet.
10th Grade Simple and Compound Interest Worksheet — Level 2 — Practice Set 3 — Answers
Show your work. Write the rate as a decimal (5% = 0.05). Round money to the nearest cent.
1.$13,250.00 is invested at 8% per year, compounded yearly, for 6 years. Find the final amount and the interest earned, to the nearest cent.
Answer: Amount $21,026.08; interest $7,776.08
- A = P(1 + r)n = $13,250.00 × (1 + 0.08)6
- = $13,250.00 × 1.586874
- ≈ $21,026.08
- Interest = $21,026.08 − $13,250.00 = $7,776.08
2.Find the simple interest on $10,750.00 invested at 2% per year for 3 years. What is the total value at the end?
Answer: Interest $645.00; total $11,395.00
- I = P × r × n = $10,750.00 × 0.02 × 3
- = $645.00
- Total = $10,750.00 + $645.00 = $11,395.00
3.$1,250.00 is invested at 2.5% per year, compounded yearly, for 5 years. Find the final amount and the interest earned, to the nearest cent.
Answer: Amount $1,414.26; interest $164.26
- A = P(1 + r)n = $1,250.00 × (1 + 0.025)5
- = $1,250.00 × 1.131408
- ≈ $1,414.26
- Interest = $1,414.26 − $1,250.00 = $164.26
4.$11,750.00 is invested at 2% per year, compounded yearly, for 6 years. Find the final amount and the interest earned, to the nearest cent.
Answer: Amount $13,232.41; interest $1,482.41
- A = P(1 + r)n = $11,750.00 × (1 + 0.02)6
- = $11,750.00 × 1.126162
- ≈ $13,232.41
- Interest = $13,232.41 − $11,750.00 = $1,482.41
5.$7,250.00 is invested at 5% per year, compounded yearly, for 5 years. Find the final amount and the interest earned, to the nearest cent.
Answer: Amount $9,253.04; interest $2,003.04
- A = P(1 + r)n = $7,250.00 × (1 + 0.05)5
- = $7,250.00 × 1.276282
- ≈ $9,253.04
- Interest = $9,253.04 − $7,250.00 = $2,003.04
6.Find the simple interest on $12,250.00 invested at 2.5% per year for 4 years. What is the total value at the end?
Answer: Interest $1,225.00; total $13,475.00
- I = P × r × n = $12,250.00 × 0.025 × 4
- = $1,225.00
- Total = $12,250.00 + $1,225.00 = $13,475.00
7.$6,500.00 is invested at 5% per year, compounded yearly, for 5 years. Find the final amount and the interest earned, to the nearest cent.
Answer: Amount $8,295.83; interest $1,795.83
- A = P(1 + r)n = $6,500.00 × (1 + 0.05)5
- = $6,500.00 × 1.276282
- ≈ $8,295.83
- Interest = $8,295.83 − $6,500.00 = $1,795.83
8.Find the simple interest on $13,750.00 invested at 2.5% per year for 4 years. What is the total value at the end?
Answer: Interest $1,375.00; total $15,125.00
- I = P × r × n = $13,750.00 × 0.025 × 4
- = $1,375.00
- Total = $13,750.00 + $1,375.00 = $15,125.00
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