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eduard
3 years ago
8

Solve for x: - 2 - 5/4 x = 13

Mathematics
1 answer:
eduard3 years ago
3 0
To answer the problem you take 13 and minus -2 to get 15 and divide 15 by 5/4 and you get 12. 
 Hope I help. :)


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How much money invested at 7% compounded continuously for 6 years will yield $500?
dangina [55]

Answer:

<u>$328.52</u>

Step-by-step explanation:

let p = x, t = 6 years and r = 0.07. now the formula is x*e^0.42 = 500. e^0.42 is approx. 1.522. divide 500 by that to get about <u>$328.52</u>

8 0
2 years ago
Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from​ B, a distance o
g100num [7]

Answer:

The value  is  k =109.6 \ miles

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

   The distance from city A to B is   AB =  467.3 miles

   The bearing from B to  C is  \theta_{BC} =  N 28.7E

   The bearing from B to  A is  \theta_{BA} =  N 60.7E

   The  bearing from A to  B is   \theta_{AB} =  S60.7W

    The  bearing from A to  C is   \theta_{AC} =  S79.1W

Generally from the diagram

     \theta_A  =  180 - 60.7 -79.1

=>  \theta_A  =  40.2 ^o

Also

     \theta_B  =  32^o

and  

      \theta_C  =  180 - (\theta_A  +\theta_B )

=>   \theta_C  =  180 - (40.2  + 32 )

=>   \theta_C  =  107.8 ^o

Generally according to Sine Rule

     \frac{BC}{sin (\theta_A)}  = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}

=>   \frac{BC}{sin (40.2)}  = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}    

So

     \frac{BC}{sin (40.2)}  = \frac{467.3 }{sin (107.8)}

=>  BC = 316.8 \ miles

Also  

    \frac{CA}{sin (32)} =  \frac{467.3 }{sin (107.8)}

    CA = 260 .1 \ miles

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct​ flight is mathematically represented as

      k = [CA +BC]  - AB

=>     k = [260 .1 +316.8]- 467.3

=>  k =109.6 \ miles

4 0
2 years ago
Vending machines can be adjusted to reject coins above and below certain weights. The weights of legal U.S. quarters have a norm
tigry1 [53]

Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%

Step-by-step explanation:

Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.

Let x be the weights of legal U.S. quarters .

Required probability: P(x5.81)

=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275    \ \ \ [By\  P-value\ calculator]

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5 0
2 years ago
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crimeas [40]

The '68-95-99.7' rule says

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Here 31.4=29+2*1.2 26.6=29-2*1.2

Therefore, the probability

P(26.6

The required probability

P(L

6 0
2 years ago
ASAP WHO EVER ANSWER THIS QUESTION WILL BE MARKED BRANLIEST URGENT
Yuliya22 [10]

Answer:

i think its A. . .

Step-by-step explanation:

6 0
2 years ago
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