Fill in the blanks: (i) (ii) (Amount) - (Principal) = ………. (iii) If the value of a machine is Rs. P and it depreciates at R% per annum, then its value after 2 years is (iv) If the population P of a town increases at R% per annum, then its population after 5 years is ………..

Question

Fill in the blanks: (i) (ii) (Amount) - (Principal) = &#x2026;&#x2026;&#x2026;. (iii) If the value of a machine is Rs. P and it depreciates at R% per annum, then its value after 2 years is (iv) If the population P of a town increases at R% per annum, then its population after 5 years is &#x2026;&#x2026;&#x2026;..

Philoid · Accepted Answer

(i) R

Amount (A) = P (1 + R/100)ⁿ [Where, A = Amount with compound interest

P = Present value

R = Annual interest rate

n = Time in years]

(ii) Compound interest

Amount (A) = P (1 + R/100)ⁿ

And Compound interest = P (1 + R/100)ⁿ - P

(iii) Rs.

∵ Rate decreases.

∴ Value = P (1 - R/100)ⁿ

Present value of machine = Rs.P

Interest rate = R% per annum

Time, n = 2

∴ Value = Rs.

(iv)

Present population of a town = P

Increases rate = R% per annum

Time, n = 5 years

∴ Population = P (1 + R/100)ⁿ [Where,

P = Present value

R = Annual interest rate

n = Time in years]

∴ Population after 5 years =

Fill in the blanks:(i) (ii) (Amount) - (Principal) = ……….(iii) If the value of a machine is Rs. P and it depreciates at R% per annum, then its value after 2 years is(iv) If the population P of a town increases at R% per annum, then its population after 5 years is ………..

Fill in the blanks:
(i)

(ii) (Amount) - (Principal) = ……….

(iii) If the value of a machine is Rs. P and it depreciates at R% per annum, then its value after 2 years is

(iv) If the population P of a town increases at R% per annum, then its population after 5 years is ………..