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Sedbober [7]
3 years ago
6

Choose the correct simplification of the expression the quantity a to the 3rd power over b to the 7th power all raised to the 2n

d power. a to the 5th power over b to the 9th power a over b to the 14th power a to the 6th power over b to the 14th power a6b14
Mathematics
2 answers:
sertanlavr [38]3 years ago
8 0
(\frac{a^3}{b^7})^2=\frac{a^{3 \times 2}}{b^{7\times2}}= \frac{a^6}{b^{14}}
Maksim231197 [3]3 years ago
5 0
(a^3/b^7)^2
Bring the power of 2 into the numerator and denominator.
a^6/b^14
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A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo
Mama L [17]

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T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

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A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

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log 1.92 = log [(1.02375)^2t)

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The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

7 0
3 years ago
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