Math, asked by shrutikolpet3, 9 months ago

7. Maria invested 8,000 in a business. She would be paid interest at 5% per annum
compounded annually. Find
() The amount credited against her name at the end of the second year.
(ii) The interest for the 3rd year.​

Answers

Answered by aaryamishra42
0

Answer:

(i) Here, Principal (P) = Rs. 8000, Rate of Interest (R) = 5%, Time (n) = 2 years.

Amount (A) = P\left(1+\frac{R}{100}\right)^n

= 8000\left(1+\frac{5}{100}\right)^2

= 8000\left(1+\frac{1}{20}\right)^2

= 8000\left(\frac{21}{20}\right)^2

= 8000\times\frac{21}{20}\times\frac{21}{20}

= Rs. 8820

(ii) Here, Principal (P) = Rs. 8000, Rate of interest (R) = 5%, Time (n) = 3 years.

Amount (A) = P\left(1+\frac{R}{100}\right)^n

= 8000\left(1+\frac{5}{100}\right)^3

= 8000\left(1+\frac{1}{20}\right)^3

= 8000\left(\frac{21}{20}\right)^3

= 8000\times\frac{21}{20}\times\frac{21}{20}\times\frac{21}{20}

= Rs. 9,261

Interest for 3rd year = A - P

= Rs. 9,261 – Rs. 8,820 = Rs. 441

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