Find out the number of ways to arrange the letters of the word 'LEVEL'

Find the eigenvalues of :-

A = [4 12 3]

How many diagonals does a convex 18 sided polygon have?

Which of the numbers among these are divisible by 2, 3, 7 but not divisible by 9 is:-

A fair six sided dice is thrown 3 times, probability the sum will be 9 is:-

Which numbers can effectively divide the number 999987 without leaving a remainder:-

Solve for x, y, z:-

x + y + z = 100

x^2 + y^2 + z^2 = 3856

xy + yz + zx = 3072

Integral from 0 to 1 (2x^2 + 3x) dx, evaluate

If f(x) = x^3 - 4x^2 - ⅓, find f'(396)

A principal of ₹10,000 is invested at a continuous compounding rate of 5% per annum. Calculate the amount after 7 years.

If the nominal annual interest rate is 12% compounded quarterly, what is the effective annual rate (EAR)?

At what annual interest rate, compounded annually, will a principal amount double in 6 years? Express your answer to two decimal places.

A ₹500,000 loan is taken at 10% annual interest, to be repaid in equal annual installments over 5 years. Determine the annual payment amount.

A deposit earns 6% in the first year, 8% in the second year, and 10% in the third year, all compounded annually. What is the total amount after 3 years if the initial deposit is ₹50,000?

If an investment grows at a rate of 5% compounded annually, find the time tt required for the investment to triple in value. Use logarithms in your calculation and round tt to the nearest year.

If the nominal interest rate is 10% and the inflation rate is 4%, calculate the real rate of return using the Fisher equation.

A person deposits ₹5,000 monthly into a savings account that earns 7% annual interest compounded monthly. What is the total amount in the account after 5 years?

Calculate the present value of an annuity that pays ₹10,000 annually for 10 years at a discount rate of 6% per annum.

An investment grows according to the formula A=P(1+rn)ntA = P(1 + \frac{r}{n})^{nt}. If P=15,000,r=0.08,n=2,t=4P = 15,000, r = 0.08, n = 2, t = 4, find AA.