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AnnyKZ [126]
3 years ago
5

Susie Smith wants to know the amount by which her service charge has increased before she receives her bank statement. In the pa

st, the service charge has been $5.00. Her previous balance was $619.83. She had $398.50 in deposits, $471.63 in withdrawals, and $2.50 in interest earned. If her present balance is $540.70, by how much amount did her service increase?
Mathematics
2 answers:
Olin [163]3 years ago
8 0

Answer:

Step-by-step explanation:

In the past, the service charge has been $5.00.

Her previous balance was $619.83.

Her total deposits was $398.50

Her total withdrawal was $471.63

Total interest earned was $2.50

Total income = 398.50 + 2.50 = $401

Her balance = (619.83 + 401) - 471.63 = 549.2

If her present balance is $540.70, it means that the service charge is

549.2 - 540.70 = 8.5

Since her previous service charge was $5, the amount by which her service charge increased would be

8.5 - 5 = $3.5

Snezhnost [94]3 years ago
5 0

Answer: 5 percent

Step-by-step explanation:

dd it all together and then divide it by 5

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See the proof below.

Step-by-step explanation:

Assuming this complete question: "For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z has a binomial distribution with parameters pq and M."

Solution to the problem

For this case we can assume that we have N independent variables X_i with the following distribution:

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Z = \sum_{i=1}^N X_i

From the info given we know that N \sim Bin (M,q)

We need to proof that Z \sim Bin (M, pq) by the definition of binomial random variable then we need to show that:

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Var (Z) = Mpq(1-pq)

The deduction is based on the definition of independent random variables, we can do this:

E(Z) = E(N) E(X) = Mq (p)= Mpq

And for the variance of Z we can do this:

Var(Z)_ = E(N) Var(X) + Var (N) [E(X)]^2

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And if we take common factor Mpq we got:

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8 0
3 years ago
Polygon ABCD is plotted on a coordinate plane and then rotated 90° clockwise about point C to form polygon A′B′C′D′. Match each
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