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3 years ago

The sum of two binomials Is

Mathematics

2 answers:

barxatty [35]3 years ago

8 0

Is there a equation? Or do you just wanna know what the sum of two binomials equal?

densk [106]3 years ago

7 0

Answer:

monomial

Step-by-step explanation:

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At age 23, someone sets up an IRA (individual retirement account) with an APR of 7%. At the end of each month he deposits $

MAVERICK [17]

Answer:

The ira will contain $228,278.05 when he retires at age 65. This is 6.04 times the amount of money he deposited.

Step-by-step explanation:

In order to solve this problem, we can make use of the following formula:

$FV=PMT[\frac{(1+i)^{n}-1}{i}]$

Where:

FV= Future value of the ira

PMT= the amount of money you deposit each month

i= is the interest rate per period

n=number of periods

in this case we will assume the interest will be compounded each month.

So:

FV this is what we need to know.

PMT= $75 the amount he will deposit each month

t = 42 years,

this is 65-23=42

n=42 years * 12 months/year = 504 months

i=0.07/12

So we can now use the given formula:

$FV=PMT[\frac{(1+i)^{n}-1}{i}]$

$FV=75[\frac{(1+\frac{0.07}{12})^{504}-1}{\frac{0.07}{12}}]$

So we get:

FV=$228,278.05

which is the amount of money he will have after 42 years.

In total, he deposited:

$75*504months = $37,800

so he will have:

$\frac{228,278.05}{37,800}=6.04$ times the amount of money he deposited throughout this time.

7 0

3 years ago

If 6:2=8:x, then a. 6x=16 b. 6x=10 c.2x=48 d. 2x=14

otez555 [7]

Answer:

a)6x = 16

Step-by-step explanation:

<h2>Finding the value</h2>

the ratio can be solved by cross multiplication :

6 : 2

8 : x

6*x = 8*2

6x = 16

answer is : a) 6x = 16

4 0

3 years ago

Read 2 more answers

An urn initially contains 5 white and 7 black balls. Each time a ball is selected, its color is noted and it is replaced in the

iragen [17]

Answer:

A. P("Select 2 black balls and then select 2 white balls")=35/768

Step-by-step explanation:

A. First, we have to get an idea of what our experiment talks about:

If I take a black ball, then we note its color and put it back to the urn with 2 more balls of the same color.

So, every time that we take a ball the quantity of balls in the urn changes with the probability that we had before replacing. The first case (that the first ball you select is black) would go like this:

P("Select a black ball first try") = 7 (number of black balls)/12 (total of balls in the urn)

P(B₁)=7/12

Then, the amount of balls in the urn rise to 14 (12 + 2 balls added) and now the quantity of black balls it´s 9 (7 + 2 added). The urn currently has 9 black balls and 5 white balls, of course:

P("Select black ball second try after getting a black ball before") = 9 (number of black balls)/ 14 (total of balls in the urn)

P(B₁B₂)=9/14

Notice that while we keep taking black balls, the quantity of white ball keeps constant and, for the probability that we take a white ball, we just consider the change in the number of balls in the urn

P(B₁B₂W₃)=5/16

And now, we consider the new white balls that are put in the urn (2 white balls, for a total of 18 and 7 white balls):

P(B₁B₂W₃W₄)=7/18

Because all these probabilities are chained and everything comes from the first ball we choose (if you use a tree diagram, they will be in the same branch), we multiply the probabilities to find the probability that all happens in the same experiment:

P(B₁)*P(B₁B₂)*P(B₁B₂W₃)*P(B₁B₂W₃W₄) = 7/12 * 9/14 * 5/16 * 7/18 = 2205/48384

P(B₁)*P(B₁B₂)*P(B₁B₂W₃)*P(B₁B₂W₃W₄)=35/768

And this is the final answer

7 0

3 years ago

Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale.

Artist 52 [7]

$3x-14=x+2:4y-7=y+11\\2x=16:3y=18\\x=8:y=6$

D. x=8, y=6

7 0

3 years ago

A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand

LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

$\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158$

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20.2 - 20}{0.158}$

$Z = 1.27$

$Z = 1.27$ has a pvalue of 0.8980

1 - 0.8980 = 0.1020

10.20% probability that a randomly chosen book is more than 20.2 mm thick

7 0

4 years ago