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4 years ago

Do the following exercise.

Mathematics

2 answers:

OLga [1]4 years ago

8 0

Answers:

1. A person with 1 exemption making between $580 and $600 would have $21.97 withheld.

2. A person with 3 exemptions making between $340 and $360 would have $4.51 withheld.

3. A person with 4 exemptions making $610 would have $16.31 withheld.

4. A person with 2 exemptions making between $440 and $460 would have $12.16 withheld.

5. Tim Worker had $7.84 withheld. What was his wage range? $360-$380

Please, see the attached files.

Thanks.

Semmy [17]4 years ago

4 0

Finding the answers is a matter of identifying the particular entries in the table. For your questions 1-5, they are shown with numbers 1-5.
1. $21.97
2. $4.51
3. $16.31
4. $12.16
5. $360 to $380

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Maggie was doing research for her Ph.D. in physics when a 12 mg sample of radioactive material decayed to 3 mg in 26 minutes. De

netineya [11]

The general way to work this out is to solve the general expression for
the remaining quantity versus half-life, using logarithms. But that's not
necessary with these numbers.

Look at the numbers:

-- 3 mg is 1/4 of 12 mg.

-- 1/4 is the product of (1/2) x (1/2).

-- So the 3 mg is what's left of 12 mg after 2 half-lives.
The 26 minutes must be two half-lives.

-- The half-life of that substance is 26/2 = 13 minutes.

Go Maggie !

3 0

3 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

.The table shows the relationship between the number of hours and pages read by Melissa. What is the constant of proportionality

stepan [7]

Can you show the table
If the line is going down then it’s negative I was going up it’s positive if the line is constant it’s a constant
The more hours that she read the more pages that she’s able to read

8 0

3 years ago

HELPPPPPP IM DOING MY MISSING ASSIGNMENTS WILL GIVE BRAINLIEST

katen-ka-za [31]

Answer:

12 minutes

Step-by-step explanation:

my guts are always right

5 0

3 years ago

Read 2 more answers

Elise and her younger brother, Reid, take turns loading the dishwasher after dinner. Because she is older, Elise loads the dishw

erik [133]

Answer:

Step-by-step explanation:

so for every 3 Reid washes there are 4 Elsie washes

the ratio of washing is 3:4

lets add 3 and 4 up

3 + 4 = 7

now lets divide the total number of washes by the added ratio

84/ 7

=12

now we know that 1 part is 12

to find Elsie's part we need to x 12 by how many parts she has got

she washed 4 times

4 x 12

=48

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3 years ago