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GradeApplications of Compound Interest

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The population of the city is $2,50,000$. The death rate is $4.5\% $ and the birth rate is $6.5\% $. What will be the city’s population after $3$ years?

Three types of annuities are

a. Annuity certain

b. Annuity contingent

c. Annuity perpetual

d. All of the above

a. Annuity certain

b. Annuity contingent

c. Annuity perpetual

d. All of the above

The count of bacteria in a culture was initially 5,25,000. If it is increasing at the rate of \[3\dfrac{1}{2}\% \] per hour, find the count of bacteria at the end of 2 hours.

Zaved got a loan of Rs $8000$ against his fixed deposits to purchase a scooter. If the rate of interest is ten percent per annum compounded half-yearly, find the amount that he pays after a year and a half.

The difference between the compound interest compounded annually and the simple interest on a certain sum $2$ years at $6\%$ per annum is $Rs.18.$ Find the sum.

How do you do this? Todd invests $ 7,000 $ dollars at an annual interest rate of $ 4.2\% $ compounded continuously. Determine how many years, to the nearest $ 10th $ of a year, it will take for Todd’s investment to triple.

Dinesh purchased a scooter for 24000. The value of the scooter is depreciating at the rate of 5% per annum. Calculate its value after 3 years.

The present population of a town is 35,000. If the population becomes 35,700 next year, the rate of growth is

A.\[2\% \]

B.\[20\% \]

C.\[70\% \]

D.\[7\% \]

A.\[2\% \]

B.\[20\% \]

C.\[70\% \]

D.\[7\% \]

Find the amount to be paid at the end of 2 years on Rs. 2400 at 5% per annum compounded annually.

Find the difference between the compound interest compounded yearly and half-yearly on Rs. 10000 for 18 months at 10% per annum.

Amit borrowed Rs$16000$ at $17\dfrac{1}{2}\%$ per annum simple interest. On the same day, he lent it to Ashu at the same rate but compounded annually. What does he gain at the end of $2$ years?

If in two years time a principal of Rs 100 amounts to Rs 121 when the interest at the rate of r% is compounded annually, then the value of r will be

A. \[10.5\]

B. 10

C. 15

D. 14

A. \[10.5\]

B. 10

C. 15

D. 14

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