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agasfer [191]
3 years ago
5

Find the balance in the account after the given period. ​$4000 principal earning 4​% compounded​ annually, 5 years

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0
I = P • R • T

= ( 4000 ) ( 0.04 ) ( 5 )

$ 800


NB = I + P

$ 800 + $ 4000
NB = $ 48000
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Jovan has $14,000 in a savings account. The savings collect interest at a 7% annual rate that compounds every year. How much mon
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sorry 98928

Step-by-step explanation:

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Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviat
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Answer:

E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5

We can find the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496

And we can calculate the variance with this formula:

Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246

And the deviation is:

Sd(X) = \sqrt{1.246}= 1.116

Step-by-step explanation:

For this case we have the following probability distribution given:

X          0            1        2         3        4         5

P(X)   0.031   0.156  0.313  0.313  0.156  0.031

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).  

We can verify that:

\sum_{i=1}^n P(X_i) = 1

And P(X_i) \geq 0, \forall x_i

So then we have a probability distribution

We can calculate the expected value with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i) = 0*0.031 +1*0.156+ 2*0.313+3*0.313+ 4*0.156+ 5*0.031 = 2.5

We can find the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 0^2*0.031 +1^2*0.156+ 2^2*0.313+3^2*0.313+ 4^2*0.156+ 5^2*0.031 =7.496

And we can calculate the variance with this formula:

Var(X) =E(X^2) -[E(X)]^2 = 7.496 -(2.5)^2 = 1.246

And the deviation is:

Sd(X) = \sqrt{1.246}= 1.116

6 0
3 years ago
It is a Saturday morning and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charg
Jet001 [13]
The answer is
A
"For every half an hour there is 1/5 of the bucket is filled"    Hope I helped                                                                                 
B: Not sure not very good at equations :(                                                      
C: Well there is Half an hour so if you multiply that by 5 then its. 2 1/2 hours :)
Hope I helped








4 0
3 years ago
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