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Alex777 [14]
4 years ago
13

Candy takes 57 minutes to deliver all the paper whereas Tim takes 114 minutes. How long does it take them where they work togeth

er
Mathematics
1 answer:
kow [346]4 years ago
4 0

-- Candy takes 57 minutes to do the whole job  ==> 
She does 1/57 of the job every minute.

-- Tim takes 114 minute to do the whole job  ==> 
He does 1/114 of the job every minute.

-- If they work together, they do  (1/57  +  1/114)  of the job every minute.
We have to add those fractions.

The least common denominator is 114.

                 (1/57  +  1/114)

             =  (2/114 + 1/114)

             =        3/114       =  1/38 .

Working together, Candy and Tim do  1/38  of the job every minute.

So it takes them  38 minutes  to do the whole job together. 
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the answer is C
3 0
3 years ago
Brockman Corporation's earnings per share were $3.50 last year, and its growth rate during the prior 5 years was 7.0% per year.
fredd [130]

Answer:

The number of years it would take is  n  =  2 \ years

Step-by-step explanation:

From the question we are told that

         The earning per share  is  P = $3.50

          The growth rate is  r  =  7.0%

           The duration is t =  5 \ years

Generally the future value is mathematically represented as

          A =  P(1 + \frac{r}{100} )^n

 Where P is the present value

              n is the time period

         A is the future value which is mathematically evaluated as

               A =  3 * P

substituting value

            A =  3 * 3.50

            A = $ 10.5 0

So

      A =  P(1 + \frac{r}{100} )^n

       10.5 =  3.5(1 + \frac{7}{100} )^n

       10.5 = 3.225^n

Taking log of both sides

       log 10.5 = nlog 3.225

        1.0212 = n(0.5085)

         n  =   \frac{1.0212}{(0.5085)}

         n  =  2 \ years

     

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4 years ago
Is 8.5 x 10^-5 scientific notation
nlexa [21]

Answer: 00008.5

Step-by-step explanation:

4 0
3 years ago
A population grows with an annual growth rate of 16.5 % per year. (a) what is the monthly growth rate
Shtirlitz [24]
The monthly growth rate would be 16.5% divided by 12 which is 1.3%
8 0
3 years ago
A study found that a 95% confidence interval for the mean μ of a particular population was computed from a random sample of 1200
kotykmax [81]

Answer:

95% confidence interval for the mean μ is (6,14)

The Population mean μ lies between ( 6, 14 )

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given random sample 'n' = 1200

95% confidence interval for the mean μ is determined by

        (x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } )

Level of significance = 95% 0r 0.05

Z₀.₀₅ = 1.96

   (x^{-} -Z_{\alpha } \frac{S.D}{\sqrt{n} } , x^{-} +Z_{\alpha } \frac{S.D}{\sqrt{n} } ) = 10 ± 4

Mean of the small sample = 10

95% of confidence intervals are

                         ( 10 ±4 )

                  ( 10 -4 , 10+4)

                  ( 6 , 14 )

95% confidence interval for the mean μ lies between ( 6, 14 )

8 0
3 years ago
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