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sergij07 [2.7K]
3 years ago
8

Please I really need help!!! As fast as possible!!!

Mathematics
1 answer:
natima [27]3 years ago
7 0

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Corresponding sides are proportional, so the ratios of bottom to left side are the same. The left side of the large triangle is 6+4=10.

  x/10 = 9/6

  x = 10(9/6) . . . . multiply by 10

  x = 15

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Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. after c years, calvin has $658.80. makayl
vodomira [7]
You will need a special formula to compute this.
Years = log (total/principal) / [n * log * (1 + rate / n)]

Part A) Calvin $400 5% monthly 658.80 Time = ?
Monthly compounding "n" = 12
Years = log(658.80/400) / [12 * log(1+ (.05/n))
Years = log ( <span> <span> <span> 1.647 </span> </span> </span> ) / (12 * log ( <span><span><span>1.0041666667 </span> </span> </span> )
Years = 0.21669359917 / 12 * 0.0018058008777
Years = <span> <span> </span></span><span><span>0.21669359917 / 0.0216696105 </span>
</span>Years = <span><span>9.999884362 </span>

</span>
Part B) Makayla 300 6% quarterly  613.04Time=?
Quarterly compounding
n = 4
Years = log (total/principal) / [n * log * (1 + rate / n)]
Years = log (613.04/300) / [4 * log (1 + .06/4)]
Years = log ( <span> <span> <span> 2.0434666667 </span> </span> </span> ) / 4 * log (1.015)
Years = 0.31036755784 / 4 * 0.0064660422492
Years = 0.31036755784 / <span> <span> <span> 0.025864169 </span> </span> </span>
Years = <span> <span> <span> 11.9999044949 </span> </span> </span>

So, the difference is roughly 3 years.



3 0
3 years ago
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Zachary invested $700 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals
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Step-by-step explanation:

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3 years ago
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Paper clip. a paper clip would be about the size of her thumb so she would be able to use. for example, her thumb is 2 paperclips long. therefore the answer would be paperclip.
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3 years ago
A multiple choice test has two parts. There are 4^12 ways to answer the 12 questions in Part A. There are 4^5 ways to answer the
LiRa [457]

Using the Fundamental Counting Theorem and the probability concept, it is found that:

  • There are 4^{17} ways to answer all 17 questions.
  • 4^{-17} probability you will get them all right.

<h3>What is the Fundamental Counting Theorem?</h3>
  • It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

N = n_1 \times n_2 \times \cdots \times n_n

<h3>What is a probability?</h3>
  • A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

  • The questions in part A and in part B are independent.
  • For the 12 questions in part A, there are 4^{12} ways to answer, hence n_1 = 4^{12}.
  • For the 5 questions in part B, there are 4^{5} ways to answer, hence n_2 = 4^{5}.

Then:

N = n_1 \times n_2 = 4^{12} \times 4^5 = 4^{17}

There are 4^{17} ways to answer all 17 questions.

Only one outcome in which all the guesses are correct, hence:

p = \frac{1}{4^{17}} = 4^{-17} probability you will get them all right.

You can learn more about the Fundamental Counting Theorem at brainly.com/question/24314866

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VXYZ is a kite. What is the length of XY?
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