= 9650*[(1.06)3 - 1]= 9650*0.191016 = 1843.30
Compound interest is better than simple (or "nominal") interest because compound interest allows you to add your accumulated interest back to your total every given term (i.e. each day, each week, each month, quarterly, annually, etc.), thus increasing the amount of money you are earning interest on.Example:Say you deposit 100 dollars for 2 years at 10% per year in 2 banks, one which does not compound your interest (Bank A), and one that compounds annually (Bank B).Bank A:After 1 year: 100 x 1.10 (1.10 = your amount + 10%) = 110After 2 years: 100 x 1.20 (1.20 = your amount +10% x 2) = 120Bank B:After 1 year: 100 x 1.10 = 110but then instead of using 100 again, you add the additional 10 back into your total and collect interest on 110 dollars in year two.So:After 2 years: 110 x 1.10 (1.10 = your amount + 10%) = 121
12%
What is the total amount of money owed if $1,250 was borrowed for four years at 3.5% interest?
The formula to calculate the present amount including compound interest is, A = P(1 + r/n)nt , where P is the principal amount, r is the annual rate expressed as a decimal , t is the number of years, and n is number of times per year that interest is compounded. 9500 = 7000(1 + r/12)^(12 x 3) = 7000(1 + r/12)^36 Then, (1 + r/12)^36 = 9500 / 7000 = 1.3571429 approx (1 + r/12) = 36√1.3571429 ≅ 1.0085189 r/12 = 0.0085189 r = 12 x 0.0085189 ≅ 0.1022268 Then the required interest rate is 10.223% (3dp)
7% compound interest means that the amount of money increases, every year, by a factor of 1.07. After 4 years, you have 300 x 1.07^4.
Interest alone would be 4.871463646 times the amount of the principle.
$44,440.71
If the rate of annual interest is r% the period is n years and the amount invested is y Then the compound interest is y*(1+r/100)^n - y
Compound Interest FormulaP = principal amount (the initial amount you borrow or deposit)r = annual rate of interest (as a decimal)t = number of years the amount is deposited or borrowed for.A = amount of money accumulated after n years, including interest.n = number of times the interest is compounded per yearExample:An amount of $1,500.00 is deposited in a bank paying an annual interest rate of 4.3%, compounded quarterly. What is the balance after 6 years?Solution:Using the compound interest formula, we have thatP = 1500, r = 4.3/100 = 0.043, n = 4, t = 6. Therefore, So, the balance after 6 years is approximately $1,938.84.
Suppose thye original amount is y and the rate of interest is r%. Then the total value after two years is y*(1+r/100)2 = y*(1 + r/50 + r2/10000) So the compound interest, alone, after 2 years is y*(r/50 + r2/10000) So y = compound interest/(r/50 + r2/10000)
3
It depends on whether it is simple or compound interest. The formula for simple interest is A = P(1+rt), where A = amount of money after t years, P = Principal, or the amount of money you started with, and r = the annual interest rate, expressed as a decimal (i.e. 7% = 0.07). For compound interest, the formula is A = P(1+r)t.
After the first year: 3000 X 8% = 240, so you have 3240.After the 2nd year: 3240 x 8% = 259.20, so the total interest is 240 + 259.20 = 499.20
Suppose the amount invested (or borrowed) is K, Suppose the rate of interest is R% annually, Suppose the amount accrues interest for Y years. Then the interest I is 100*K[(1 + R/100)^Y - 1]
Compound Interest for n compounds per year:A = P(1+r/n)ntWhereA = amount of money at time tP = Principal balancer = yearly interest raten = number of compunds per yeart = time in yearsContinuous Compound Interest:A = PertA = amount of money at time tP = Principal balancer = yearly interest ratet = time in years
Semiannually over two years is equivalent to 4 periods. If the interest is 12% every 6 months, then the amount of interest is It is 8000*[(1.12)4 -1] =4588.15
AnswerCompound interest works like this.Take a principle (The amount of money you deposit) of $10,000.Lets say that the interest rate is 8% and that it compounds anually.At the end of one year you would have $10,800.With simple interest, at the end of two years, you would have $11,600 because you only earn interst on the principle.After three years you would have $12,400.However, with compound interest, you will earn interest on not just the principle, but the compounded interest as well.Therefore, with compound interest, at the end of two years, you would have 11,664.After three years it would be $12,597.12 and so on.