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nikdorinn [45]
3 years ago
8

The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a

mean of 4-minutes. what is the probability that a person is served is less than 3-minutes on at least 4 of the next 6 days?

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0
I donu im just a kid that runs track. ahahahhahhahahha and plays roblox hahahahh

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How much more would $1,000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the int
s2008m [1.1K]

Answer: There is a difference of $ 1.0228.

Explanation: Given, initial amount or principal = $ 1000,

Time= 5 years and given compound rate of interest = $3.7%

Now, Since the amount in compound continuously,

A= Pe^{rt} , where, r is the rate of compound interest, P is the principal amount and t is the time.

Here, P=$ 1000, t=5 years and r= $3.7%,

Thus, amount in compound continuously ,  A=1000e^{3.7\times5/100}

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Therefore, interest in this compound continuously rate =1203.21844013-1000=203.21844013

now, Since the amount in compound quarterly,

A=P(1+\frac{r/4}{100} )^{4t}, where, r is the rate of compound interest, P is the principal amount and t is the time.

Thus, amount in compound quarterly, A=1000(1+\frac{3.7/4}{100} )^{4\times5}

⇒A=1000(1+\frac{3.7}{400} )^{20}

⇒A=1000(1+\frac{3.7}{400} )^{20}

⇒A= 1202.19567617

Therefore, interest in this compound quarterly rate=1202.19567617-1000=202.19567617

So, the difference in these interests=203.21844013-202.19567617=1.02276396 ≈1.0228                                                  

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