Subject: Mathematics
Book: Maths Mastery
Compound interest is the foundation of investment growth and loan repayment calculations. The standard formula for compound interest is A = P (1 + r/n)^(n×t), where P is the principal, r is the annual interest rate (in decimal form), n is the number of compounding periods per year, t is the total number of years, and A is the amount after the specified time. For example, if you invest ₹10,000 at an annual 8% interest rate, compounded quarterly (n = 4) for 5 years, your final amount would be A = 10,000 (1 + 0.08/4)^(4×5). This repeated application of interest to both the principal and its accumulated interest creates accelerated growth, pivotal for long-term financial planning, savings, and retirement funds. By understanding compound interest, you can strategize mortgage payments, compare loan offers, and evaluate various investment products.
What is the greatest common divisor (GCD) of 36 and 48?
View QuestionA cone has a base radius of 7 cm and height of 24 cm. What is its volume?
View QuestionIf x² - 9x + 18 = 0, what are the roots of the equation?
View QuestionWhat is the value of x if log(x) + log(4) = log(32)?
View QuestionIf sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?
View QuestionA sum triples in 20 years at simple interest. What is the rate of interest per annum?
View QuestionA car travels 240 km in 4 hours. What is its average speed?
View QuestionIf a + b = 10 and ab = 21, what is the value of a^2 + b^2?
View QuestionIf 2x - 3 = 7, what is the value of x?
View QuestionIf the sum of three consecutive integers is 96, what are the integers?
View Question