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Nikitich [7]
3 years ago
13

What value of n solves the equation 3^n=1/81 ? A. –243 B. –27 C. –4 D. 4

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0
This is fairly simple. You would just substitute the answer choices in for 'n'.
3^-243=0
So, A. isn't correct.
3^-27=1.31137265.....
So, B. isn't correct.
3^-4=0.123456789 In fraction form this is 1/81
So, we think C. is the correct answer, but just to be sure,  let's try D.
3^4=81 In fraction form this would be 81/1.
So, C. is our answer. 
Hope this helps!!
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Ernesto Montenegro purchase a twelve 1000 Bonds having a quoted price of 100.75 he have to pay a 6% brokerage fee of the same pr
LenKa [72]

Answer: $106.8

Step-by-step explanation:

Given that the bond price is $100.75

With a 6% brokerage fee

Find the total cost to the nearest cent

First, we calculate the 6% brokerage fee= 6/100 × 100.75

= 0.06 x 100.75

= 6.045

Total cost therefore is the sum of brokerage fee and the cost of bond

= $6.045 + $100.75

= $106.795

To the nearest cent = $106.8

5 0
3 years ago
What is the simplified form of the following expression?
kogti [31]

Answer:

\sqrt{3}


Step-by-step explanation:

We will be using 2 properties of radicals in this simplification (outlined below).

  • \sqrt{a*b}=\sqrt{a}* \sqrt{b}
  • \sqrt{a}*\sqrt{a}=a

<em>Let's simplify this:</em>

2\sqrt{27} +\sqrt{12} -3\sqrt{3}-2\sqrt{12}\\ =2\sqrt{9*3}+\sqrt{4*3} -3\sqrt{3}-2\sqrt{4*3} \\=2\sqrt{9} \sqrt{3} +\sqrt{4} \sqrt{3}-3\sqrt{3}-2\sqrt{4} \sqrt{3} \\=2(3)\sqrt{3}+(2)\sqrt{3} -3\sqrt{3}-2(2)\sqrt{3} \\ =6\sqrt{3} +2\sqrt{3}-3\sqrt{3}-4\sqrt{3}  \\=\sqrt{3}


First answer choice is right.

5 0
3 years ago
Jordan is preparing serving of baby carrots. He has 96 baby carrots, each serving is 12 carats, how many shearings can Jordan pr
lesantik [10]

Answer: See explanation

Step-by-step explanation:

Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.

The number of shearings that Jordan can prepare will be:

= 96 / 12

= 8

From the above calculation, there won't be any carrots left since we do not have a remainder.

5 0
3 years ago
Divide: –65.86 ÷ (–7.4)
Rina8888 [55]

Answer:

8.9


Step-by-step explanation:

The answer is 8.9 because two negatives divided by each other equals a positive. In this case, there are two negatives so you know the answer will be a positive. In the end when you divided –65.86 ÷ (–7.4), you get 8.9!

Hope this helps, have a good day. c;

(You can also type it into your calculator if you have one, and you should hopefully get the same answer.)


3 0
3 years ago
If a $6.00 ball was bought for $5.25, what was the percentage of the discount?
andriy [413]

Answer:

B

Step-by-step explanation:

x% of 6 = 5.25

\frac{x}{100} x 6 = 5.25

\frac{(5.25)(100)}{6} = x

x = 87.5 %

discount = 100 - 87.5 %

= 12.5 %

6 0
3 years ago
Read 2 more answers
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