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Vera_Pavlovna [14]
1 year ago
10

3logs at 3logs C-15log abbCondense each expression to a single logarithm

Mathematics
1 answer:
Nat2105 [25]1 year ago
8 0
\begin{gathered} 3\log _9a+3\log _9c-15\log _9b \\ \log _9a^3+\log _9c^3-\log _9b^{15} \\ \log _9(a^3b^3)-\log _9b^{15} \\ \log _9(\frac{a^3b^3}{b^{15}}) \end{gathered}

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A sum amount <br>to rupees 34476 in two and a half years at 4% CI. the sum is ​
Kruka [31]

Given:

Amount = Rs. 34476

Rate of compound interest = 4%

Time = 2\dfrac{1}{2}=2.5 years

To find:

The principal value.

Solution:

Formula for amount is

A=P\left(1+\dfrac{r}{100}\right)^t

Where, P is principal value, r is rate of interest and t is time in years.

Putting the given values, we  get

34476=P\left(1+\dfrac{4}{100}\right)^{2.5}

34476=P\left(1+0.04\right)^{2.5}

34476=P\left(1.04\right)^{2.5}

\dfrac{34476}{\left(1.04\right)^{2.5}}=P

Now,

P=31256.0090

P\approx 31256

Therefore, the value of sum or principal value is Rs.31256.

6 0
3 years ago
&lt;RQT is a straight angle. What are m&lt;RQS and m&lt;TQS​
never [62]

Answers:

  • x = 11
  • angle RQS = 106 degrees
  • angle SQT = 74 degrees

===========================================================

Explanation:

Straight angles are always 180 degrees in measure.

The two smaller angles shown add up to 180

(angle RQS) + (angle SQT) = angle RQT

(9x+7) + (6x+8) = 180

(9x+6x) + (7+8) = 180

15x+15 = 180

15x = 180-15

15x = 165

x = 165/15

x = 11

From here, we then know that,

  • angle RQS = 9x+7 = 9*11+7 = 99+7 = 106 degrees
  • angle SQT = 6x+8 = 6*11+8 = 66+8 = 74 degrees

Note how the two results add to 106+74 = 180 to help confirm the answers.

8 0
3 years ago
Simplify the expression.
MAVERICK [17]
The answer is 6t^2+2.5x^2-0.5t-5.4
5 0
3 years ago
Lisa's store collects 5% sales tax on every item sold. If she collected $22.00 in sales tax, what was the cost of the items her
Ede4ka [16]
Since we are looking for the principal amount, then all we have to do is reverse the process of getting the amount of tax. In order to get the principal, you just have to divide 22 with 0.05. The answer is 440 so that is the principal amount you are looking for.
5 0
3 years ago
Please help lol thankss
Mars2501 [29]

Answer:

what's your question though?

8 0
3 years ago
Read 2 more answers
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