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spayn [35]
3 years ago
6

Ashok arrives at Starbucks at a random time in between 9:00 am and 9:20 am and Melina arrives at Starbucks at a random time in b

etween 9:10 am and 9:30 am. Both stay for exactly 15 minutes. What is the probability that the two of them are in the Starbucks at the exact same time?
Mathematics
1 answer:
mash [69]3 years ago
3 0

Answer:

0.5

Step-by-step explanation:

Since Ashok stays for exactly 15 minutes after his arrival, they will meet if he arrives in the 10 minutes between 9:10 and 9:20 independently of the time Melina arrives.

Since there are 20 minutes from 9:00 and 9:20 and Ashok arrives at a random time, the distribution of his arrival is uniform, so the probability that he arrives between 9:10 and 9:20 is

10/20 = 0.5

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givi [52]
(C) 60 is your answer
4 0
3 years ago
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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

     

4 0
3 years ago
HELP ME WITH THIS PLEASE!!! COORDINATES!
likoan [24]
(0, 4)
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7 0
3 years ago
Problem Page A principal of $2100 is invested at 7.75% interest, compounded annually. How much will the investment be worth afte
just olya [345]

Answer:

After 12 years the investment will be worth $5145.

Step-by-step explanation:

The formula used for compounded interest is:

A = P(1+r/n)^nt

where,

A = future value

P = Principal Amount

r = interest rate

n = no of times interest is compounded

t = time

In the question given:

A=?

P = $2100

r = 7.75% or 0.0775

n = 1

t= 12

A= 2100*(1+0.0775/1)^1*12

A= 2100 *(1+0.0775)^12

A= 2100 *(1.0775)^12

A= 2100 * 2.45

A= 5145

So, after 12 years the investment will be worth $5145.

6 0
2 years ago
Find the percent cost of the total spent on each equipment $36, fees $158, transportation $59
maksim [4K]

Answer: Therefore, Option 'A' is correct.

Step-By-Step  explanation:

Since we have given that

Amount spent on equipment = $36

Amount spent on fees = $158

Amount spent on transportation = $59

Total amount spent by them is given by

36+158+59=\$253

Percent cost of equipment of the total amount is given by

\frac{36}{253}\times 100=14.2\%

Percent cost of fees of the total amount is given by

\frac{158}{253}\times 100\\\\=62.45\%

Percent cost of transportation of the total amount is given by

\frac{59}{100}\times 100\\\\=23.3\%

Hence, Percent cost of the total spent on each is

14%, 62%, 23%.

Therefore, Option 'A' is correct.

6 0
3 years ago
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