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3 years ago

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Financial algebra: Karen wants to make a deposit of $500 each week into an account that earns %5 interest compounded weekly(52 w

eeks/year). How much money will be in the account at the end of 1 year?
How much money in interest will be the account earned at the end of the year?

1 answer:

vagabundo [1.1K]3 years ago

3 0

Te get this answer u must do 9282938+(-847372837)=(-63827884) is ur answer I took the test

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B. , using the<br> Pythagorean Theorem,<br> show that.<br> C. Solve for X

valkas [14]

X=20
WORK:

100+ 3x +x=180
4x+100=180
-100 -100
4x=80
divide both sides by 4
x=20

4 0

2 years ago

5.2.14. For the negative binomial pdf p (k; p, r) = k+r−1 (1 − p)kpr, find the maximum likelihood k estimator for p if r is know

Volgvan

Answer:

$\hat p = \frac{r}{\bar x +r}$

Step-by-step explanation:

A negative binomial random variable "is the number X of repeated trials to produce r successes in a negative binomial experiment. The probability distribution of a negative binomial random variable is called a negative binomial distribution, this distribution is known as the Pascal distribution".

And the probability mass function is given by:

$P(X=x) = (x+r-1 C k)p^r (1-p)^{x}$

Where r represent the number successes after the k failures and p is the probability of a success on any given trial.

Solution to the problem

For this case the likehoof function is given by:

$L(\theta , x_i) = \prod_{i=1}^n f(\theta ,x_i)$

If we replace the mass function we got:

$L(p, x_i) = \prod_{i=1}^n (x_i +r-1 C k) p^r (1-p)^{x_i}$

When we take the derivate of the likehood function we got:

$l(p,x_i) = \sum_{i=1}^n [log (x_i +r-1 C k) + r log(p) + x_i log(1-p)]$

And in order to estimate the likehood estimator for p we need to take the derivate from the last expression and we got:

$\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\frac{x_i}{1-p}$

And we can separete the sum and we got:

$\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\sum_{i=1}^n \frac{x_i}{1-p}$

Now we need to find the critical point setting equal to zero this derivate and we got:

$\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\sum_{i=1}^n \frac{x_i}{1-p}=0$

$\sum_{i=1}^n \frac{r}{p} =\sum_{i=1}^n \frac{x_i}{1-p}$

For the left and right part of the expression we just have this using the properties for a sum and taking in count that p is a fixed value:

$\frac{nr}{p}= \frac{\sum_{i=1}^n x_i}{1-p}$

Now we need to solve the value of $\hat p$ from the last equation like this:

$nr(1-p) = p \sum_{i=1}^n x_i$

$nr -nrp =p \sum_{i=1}^n x_i$

$p \sum_{i=1}^n x_i +nrp = nr$

$p[\sum_{i=1}^n x_i +nr]= nr$

And if we solve for $\hat p$ we got:

$\hat p = \frac{nr}{\sum_{i=1}^n x_i +nr}$

And if we divide numerator and denominator by n we got:

$\hat p = \frac{r}{\bar x +r}$

Since $\bar x = \frac{\sum_{i=1}^n x_i}{n}$

4 0

3 years ago

Television Videl watched 6 times as many hours of television over the weekend as Dineen. Together they watched a total of 14 hou

Bezzdna [24]

2 Remainder 2 because 14 divided by 6 is 2 remainder 2

5 0

3 years ago

Read 2 more answers

Ester sarai and kurry chose a number esters number is 1/10 of saris kurrys number is 10 times as much as sarais sarais number is

Tom [10]

Ester, Sarai, and Kurry each selected a number: 0.009, 0.09, and 0.9, respectively.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes. For instance, 3+3+3+3+3 can be expressed as 3 5.

the ester's number is equal to one-tenth of the Sarai number.

= 1 / 10 × 0.09 = 0.009

to determine Kurry's number, multiply Sarai's number by 10

= 10 × 0.09 = 0.9

Therefore, it can be inferred that Kurry chose 0.9, Ester chose 0.009, and Sarai chose 0.09.

To know more about Multiplication, refer to this link:

brainly.com/question/10873737

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3 0

1 year ago

Timed math quiz sucks

brilliants [131]

Answer:

Last option

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers