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Questions and Answers
What is the formula for calculating simple interest?
What is the formula for calculating simple interest?
What is the purpose of the formula A = l × w?
What is the purpose of the formula A = l × w?
What does the variable 'n' represent in the compound interest formula?
What does the variable 'n' represent in the compound interest formula?
What is the formula for calculating the volume of a cylinder?
What is the formula for calculating the volume of a cylinder?
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What does the variable 'r' represent in the simple interest formula?
What does the variable 'r' represent in the simple interest formula?
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What is the formula for calculating the surface area of a sphere?
What is the formula for calculating the surface area of a sphere?
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What is the formula to calculate simple interest?
What is the formula to calculate simple interest?
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What is the formula to calculate compound interest?
What is the formula to calculate compound interest?
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If R8,000 is invested at 6% per annum, what is the total amount after 4 years?
If R8,000 is invested at 6% per annum, what is the total amount after 4 years?
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What is the monthly repayment for a R100,000 loan at an annual interest rate of 6% over 20 years?
What is the monthly repayment for a R100,000 loan at an annual interest rate of 6% over 20 years?
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What is the area of a rectangle with a length of 8m and a width of 5m?
What is the area of a rectangle with a length of 8m and a width of 5m?
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What is the volume of a cylinder with a radius of 7cm and a height of 10cm?
What is the volume of a cylinder with a radius of 7cm and a height of 10cm?
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What is the surface area of a sphere with a radius of 6m?
What is the surface area of a sphere with a radius of 6m?
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If R5,000 is invested at an annual interest rate of 4% compounded monthly, what is the amount after 5 years?
If R5,000 is invested at an annual interest rate of 4% compounded monthly, what is the amount after 5 years?
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What is the monthly installment for a loan of R250,000 with a 9% annual interest rate over 15 years?
What is the monthly installment for a loan of R250,000 with a 9% annual interest rate over 15 years?
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If R2,000 is invested at 8% per annum compounded quarterly, what is the amount after 3 years?
If R2,000 is invested at 8% per annum compounded quarterly, what is the amount after 3 years?
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What is the total amount of money accumulated after 5 years if R3,000 is invested at an annual interest rate of 6% compounded quarterly?
What is the total amount of money accumulated after 5 years if R3,000 is invested at an annual interest rate of 6% compounded quarterly?
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What is the monthly repayment for a R50,000 loan at an annual interest rate of 8% over 10 years?
What is the monthly repayment for a R50,000 loan at an annual interest rate of 8% over 10 years?
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What is the surface area of a sphere with a radius of 8m?
What is the surface area of a sphere with a radius of 8m?
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What is the volume of a cylinder with a radius of 5cm and a height of 12cm?
What is the volume of a cylinder with a radius of 5cm and a height of 12cm?
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What is the simple interest on a loan of R20,000 at an interest rate of 7% per annum for 2 years?
What is the simple interest on a loan of R20,000 at an interest rate of 7% per annum for 2 years?
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What is the area of a rectangle with a length of 12m and a width of 8m?
What is the area of a rectangle with a length of 12m and a width of 8m?
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What is the principal amount in the example of calculating simple interest, if R1,500 is the interest?
What is the principal amount in the example of calculating simple interest, if R1,500 is the interest?
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What is the total amount after 4 years if R8,000 is invested at 6% per annum?
What is the total amount after 4 years if R8,000 is invested at 6% per annum?
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What is the formula used to calculate the amount of an investment compounded monthly?
What is the formula used to calculate the amount of an investment compounded monthly?
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What is the annual interest rate in the example of calculating the monthly repayment for a loan of R100,000?
What is the annual interest rate in the example of calculating the monthly repayment for a loan of R100,000?
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What is the height of the cylinder in the example of calculating the volume of a cylinder?
What is the height of the cylinder in the example of calculating the volume of a cylinder?
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What is the radius of the sphere in the example of calculating the surface area of a sphere?
What is the radius of the sphere in the example of calculating the surface area of a sphere?
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What is the length of the rectangle in the example of calculating the area of a rectangle?
What is the length of the rectangle in the example of calculating the area of a rectangle?
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What is the width of the rectangle in the example of calculating the area of a rectangle?
What is the width of the rectangle in the example of calculating the area of a rectangle?
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What is the formula used to calculate the monthly repayment for a loan?
What is the formula used to calculate the monthly repayment for a loan?
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What is the annual interest rate in the example of calculating the monthly installment for a loan of R250,000?
What is the annual interest rate in the example of calculating the monthly installment for a loan of R250,000?
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Study Notes
Finance Formulas
- Simple Interest: Interest = P × r × t, where P is the principal amount, r is the interest rate, and t is the time period.
- Compound Interest: A = P (1 + r/n)^(nt), where A is the amount of money accumulated, P is the principal amount, r is the annual interest rate, n is the number of times interest applied per time period, and t is the time the money is invested or borrowed for.
- Loan Repayments: R = P × i / (1 - (1 + i)^(-n)), where R is the monthly repayment, P is the principal loan amount, i is the monthly interest rate, and n is the number of payments.
Measurement Formulas
- Area of a Rectangle: A = l × w, where A is the area, l is the length, and w is the width.
- Volume of a Cylinder: V = π × r^2 × h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.
- Surface Area of a Sphere: SA = 4 × π × r^2, where SA is the surface area, and r is the radius.
Examples
Simple Interest
- Calculate the simple interest on a loan of R10,000 at an interest rate of 5% per annum for 3 years: Interest = R1,500.
- Find the total amount after 4 years if R8,000 is invested at 6% per annum: Total Amount = R9,920.
Compound Interest
- Calculate the amount of an investment of R5,000 at an annual interest rate of 4%, compounded monthly, after 5 years: Amount = R6,107.
- If R2,000 is invested at 8% per annum compounded quarterly, what will be the value after 3 years: Amount = R2,536.
Loan Repayments
- Determine the monthly repayment for a R100,000 loan at an annual interest rate of 6%, to be repaid over 20 years: Monthly Repayment = R1,654.
- Calculate the monthly installment for a loan of R250,000 with a 9% annual interest rate over 15 years: Monthly Repayment = R4,556.
Measurement
- Calculate the area of a rectangle with length 8m and width 5m: Area = 40m².
- Find the volume of a cylinder with a radius of 7cm and a height of 10cm: Volume = 1,538cm³.
- Determine the surface area of a sphere with a radius of 6m: Surface Area = 452m².
Finance Formulas
- Simple Interest: Interest = P × r × t, where P is the principal amount, r is the interest rate, and t is the time period.
- Compound Interest: A = P (1 + r/n)^(nt), where A is the amount of money accumulated, P is the principal amount, r is the annual interest rate, n is the number of times interest applied per time period, and t is the time the money is invested or borrowed for.
- Loan Repayments: R = P × i / (1 - (1 + i)^(-n)), where R is the monthly repayment, P is the principal loan amount, i is the monthly interest rate, and n is the number of payments.
Measurement Formulas
- Area of a Rectangle: A = l × w, where A is the area, l is the length, and w is the width.
- Volume of a Cylinder: V = π × r^2 × h, where V is the volume, r is the radius of the base, and h is the height of the cylinder.
- Surface Area of a Sphere: SA = 4 × π × r^2, where SA is the surface area, and r is the radius.
Examples
Simple Interest
- Calculate the simple interest on a loan of R10,000 at an interest rate of 5% per annum for 3 years: Interest = R1,500.
- Find the total amount after 4 years if R8,000 is invested at 6% per annum: Total Amount = R9,920.
Compound Interest
- Calculate the amount of an investment of R5,000 at an annual interest rate of 4%, compounded monthly, after 5 years: Amount = R6,107.
- If R2,000 is invested at 8% per annum compounded quarterly, what will be the value after 3 years: Amount = R2,536.
Loan Repayments
- Determine the monthly repayment for a R100,000 loan at an annual interest rate of 6%, to be repaid over 20 years: Monthly Repayment = R1,654.
- Calculate the monthly installment for a loan of R250,000 with a 9% annual interest rate over 15 years: Monthly Repayment = R4,556.
Measurement
- Calculate the area of a rectangle with length 8m and width 5m: Area = 40m².
- Find the volume of a cylinder with a radius of 7cm and a height of 10cm: Volume = 1,538cm³.
- Determine the surface area of a sphere with a radius of 6m: Surface Area = 452m².
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Description
Review key formulas for simple and compound interest in Grade 12 Math Literacy finance. Practice calculating interest rates and accumulated amounts. Essential for math literacy students.
