An element with mass 970 grams decays by 27.7% per minute. How much of the element is remaining after 13 minutes, to the nearest

Answer:

final equation: 55,000 + 3,700n = 63,000 + 2,900n

Step-by-step explanation:

Blanca's current salary: 55,000

With an annual increase of $3,700, her salary after n years is 55,000 + 3,700n

Isabel's current salary: 63,000

With an annual increase of $2,900, her salary after n years is 63,000 + 2,900n

Setting the two salary equations equal gives:

55,000 + 3,700n = 63,000 + 2,900n

Answer:

The number of standard deviations above the mean is

Step-by-step explanation:

The question indicates that:

   The average weight of the corn ears from each farm is

   The standard deviation for the corn ears from Iowa is

   The standard deviation for the corn ears from Ohio is

     

     

  A randomly chosen ear of corn from Iowa weighs  x =  1.39 pounds

  The standardized score is  z = 1.645

  The weight of a randomly chosen ear of corn from Ohio measures  

In general, the standardized score of corn weight from Iowa can be mathematically defined as:

       

=>      

=>        

=>        

Conversely, the standardized score of corn weight from Ohio is expressed as:

         

=>      

=>        

=>      

A positive value indicates this quantity represents the number of standard deviations above the mean.

Assuming that the departure day for both is day 0, Sandy's next day off occurs on day 4, while Morgan's falls on day 10. Sandy's days off will be on days 4, 8, 12, 16, and 20. Meanwhile, Morgan's days off will be on days 10, 20, 30, 40, and 50. Thus, both of them will share a day off on day 20, meaning they will next have a joint day off in 20 days.

Answer:

the result should be 187.6; if this is incorrect, inform me so I can provide another response

Step-by-step explanation:

Solution:

Let x be the distance in miles from the house to the theater.

Total time taken for the trip

Then average speed

Terrence walks at a speed of 2 miles per hour to the theater and returns home at 40 miles per hour.

Thus, Average Speed mi/hr

Both average speeds must be equivalent. Hence, we can express this as:

Consequently, the distance from home is 13.125 miles.