It would be the second fifth and sixth one
Answer:
○ 4⁵\4²
Step-by-step explanation:
1. According to the Quotient-to-Power Exponential Rule, whenever you divide terms with exponents and coefficients, you subtract the exponents:
4²\4⁵ = 4⁻³
3. According to the Negative Exponential Rule [Reverse], you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:
b⁻ⁿ = 1\bⁿ
However, according to the Negative Exponential Rule, you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM NEGATIVE TO POSITIVE:
bⁿ = 1\b⁻ⁿ
Anyway, this is what you get using this exponential:
1\4³ = 4⁻³
4. Back to what I said about the <em>Quotient-to-Power</em> Exponential Rule, you subtract the exponents, but in this case, doing that will give you 4³. This is the ONLY uniqueness, while the rest of them are 4⁻³.
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Answer:
1/3
Step-by-step explanation:
The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.
However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:
annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2
annual rate = (1 + 0.065/2)^2 -1 = 6.61%
Applying Rule of 72,
72 ÷ 6.61% = 10.89
This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.
Nevertheless, the answer is still close to letter A.) 11.1 years.
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