The problem is about compound interest.

Given that the sum of money becomes 12 times itself in 5 years, this means that the compound interest rate is such that the initial sum (P) becomes 12P after 5 years.

If we let r be the interest rate, then the formula for compound interest is:

P(1 + r)^n = A

where:
P is the initial sum,
r is the interest rate,
n is the number of compounding periods,
A is the amount after n periods.

In this case, we know that P(1 + r)^5 = 12P.

If we want to find out how many times the sum becomes in 10 years, we need to solve for A in the equation P(1 + r)^10 = A.

Since we know that (1 + r)^5 = 12, we can square both sides of this equation to find (1 + r)^10.

(1 + r)^10 = 12^2 = 144

Therefore, the sum becomes 144 times itself in 10 years.

So, the correct option is 144.

Question

The problem is about compound interest.

Given that the sum of money becomes 12 times itself in 5 years, this means that the compound interest rate is such that the initial sum (P) becomes 12P after 5 years.

If we let r be the interest rate, then the formula for compound interest is:

P(1 + r)^n = A

where:
P is the initial sum,
r is the interest rate,
n is the number of compounding periods,
A is the amount after n periods.

In this case, we know that P(1 + r)^5 = 12P.

If we want to find out how many times the sum becomes in 10 years, we need to solve for A in the equation P(1 + r)^10 = A.

Since we know that (1 + r)^5 = 12, we can square both sides of this equation to find (1 + r)^10.

(1 + r)^10 = 12^2 = 144

Therefore, the sum becomes 144 times itself in 10 years.

So, the correct option is 144.

Knowee AI · Accepted Answer

The problem is about compound interest.

Given that the sum of money becomes 12 times itself in 5 years, this means that the compound interest rate is such that the initial sum (P) becomes 12P after 5 years.

If we let r be the interest rate, then the formula for compound interest is:

P(1 + r)^n = A

where:
P is the initial sum,
r is the interest rate,
n is the number of compounding periods,
A is the amount after n periods.

In this case, we know that P(1 + r)^5 = 12P.

If we want to find out how many times the sum becomes in 10 years, we need to solve for A in the equation P(1 + r)^10 = A.

Since we know that (1 + r)^5 = 12, we can square both sides of this equation to find (1 + r)^10.

(1 + r)^10 = 12^2 = 144

Therefore, the sum becomes 144 times itself in 10 years.

So, the correct option is 144.

A sum of money placed at compound interest 12 times itself in 5 years. How many times it becomes in 10 years?Choose the best optionClear Response134124154144

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