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Varvara68 [4.7K]
3 years ago
15

The Social Security Administration increased the taxable wage base from $106,800 to $110,100. The 6.2% tax rate is unchanged. Jo

e Burns earned over $120,000 each of the past two years.
a.

What is the percent increase in the base?(Round your answer to the nearest hundredth percent.)

Percent increase

%

b.

What is Joe’s increase in Social Security tax for the new year?(Round your answerto the nearest cent.)

Increase in social security tax

$
Mathematics
1 answer:
Rzqust [24]3 years ago
5 0

Answer:

The Social Security Administration increased the taxable wage base from $106,800 to $110,100.

A:

The percent increase in the base =

\frac{110100-106800}{106800}\times100=3.09%

B:

Previous year tax = 0.062\times106800=6621.60 dollars

This year tax = 0.062\times110100=6826.20 dollars

Increase in tax = 6826.20-6621.60=204.60 dollars

Hence, Joe’s increase in Social Security tax for the new year is $204.60.

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A starting lineup in basketball consists of two guards, two forwards, and a center.
trasher [3.6K]

Answer:

a. 390 ways

b. 0.82

Explanation

Given

Number of guard = 2

Forward = 2

Center = 1

a.

The college team has on its roster 3 centers, 4 guards, 5 forwards, and one individual (X)

Considering the lineups without X, then lineups with X as guard, then lineups with X as forward.

Note that order doesn't matter

Calculating the lineup without player X:

Selection of 1 Center from 3 center = 3C1 = 3

Selection of 2 forwards from 5 forwards = 5C2 = 10

And

Selection of 2 guards from 4 = 4C2 = 6

Total = 6 * 10 * 3 = 180

X as a guard: (only one player is needed since X has already been selected)

Selection of 1 Center from 3 center = 3C1 = 3

Selection of 2 forwards from 5 forwards = 5C2 = 10

And

Selection of 1 guards from 4 = 4C1= 4

Total = 4 * 10 * 3 = 120

X as a forward: (only one player is needed since X has already been selected)

Selection of 1 Center from 3 center = 3C1 = 3

Selection of 1 forwards from 5 forwards = 5C1 = 5

And

Selection of 2 guards from 4 = 4C2= 6

Total = 6 * 5 * 3 = 90

Total Selection = 90 + 120 + 180 = 390 ways

b.

Considering that player X and Y sit out, player X play while Y sits out, player Y plays while X sits out and player X and Y play (either as a guard, forward or split duties).

Calculating the lineup without player X and Y

Selection of 1 Center from 4 center = 4C1 = 4

Selection of 2 forwards from 4 forwards = 4C2 = 6

And

Selection of 2 guards from 4 = 4C2 = 6

Total = 4 * 6 * 6 = 144

Calculating the lineup without player X but not Y

X as a forward: (only one player is needed since X has already been selected)

If X plays as forward

Selection of 1 Center from 4 center = 4C1 = 4

X plays as forward = 4C1 = 4

And

Selection of 2 guards from 4 = 4C2= 6

Total = 4 * 4 * 6 = 96

If X plays as guard

Selection of 1 Center from 4 = 4C1 = 4

Selection of 2 forwards from 4 = 4C2 = 6

And

X as guard = 4C1= 4

Total = 4 * 6 * 4 = 96

So, if X play and Y sits out; total = 96 + 96 = 192

It's same if Y plays and X sits out = 192

Considering that both X and Y plays

As guards

Selection of 1 Center from 4 = 4C1 = 4

Selection of 2 forward from 4 = 4C2 = 6

And

X and Y as guard = 4C0 = 1

Total = 4 * 6 * 1 = 24

As forwards

Selection of 1 Center from 4 = 4C1 = 4

Selection of 2 guards from 4 = 4C2 = 6

And

X and Y as forward = 4C0 = 1

Total = 4 * 6 * 1 = 24

Both on split duties

Selection of 1 Center from 4 = 4C1 = 4

Selection of1 from 4 forward= 4C1 = 4

And

One from 4 forward = 4C1= 4

Total = 4 * 4 * 4 = 72

Total = 72 +24 + 24 = 120

Total Required Selection = 144+192+192+120 = 648

Overall Possible Selection = 12C5 = 792

Probability = 648/792 = 0.82 ----- Approximated

6 0
4 years ago
Through which angle of rotation does the image of a regular pentagon coincide with its preimage?
Cloud [144]

<u>Answer:</u>

The correct answer option is B. 72°.

<u>Step-by-step explanation:</u>

A polygon is said to be a regular polygon when all its sides and angles are equal.

So a regular pentagon coincides with its pre-image when it is rotated at an angle of 72°.

When rotated at an angle of 72°, a regular pentagon produces the same pentagon regardless of being rotated clockwise or anticlockwise.

Therefore, option B is the right choice.



5 0
3 years ago
Josh reads 8 1/4 chapters in 5 1/2 hours what is the unit rate in chapters per hour
chubhunter [2.5K]

Answer:

The answer is 3/2

Step-by-step explanation:

or 1.5 in decimal

or 1 1/2 simplified

4 0
4 years ago
Select the correct answer.
LekaFEV [45]

Answer:

15 & 7

Step-by-step explanation:

f - s = 8

f = 8 + s

Twice the first number plus three times the second number is 51:

2f + 3s = 51

Substitute:

2(8 + s) + 3s = 51

16 + 2s + 3s = 51

16 + 5s = 51

5s = 51 - 16

5s = 35

s = 7, the second number

Find f:

f = 8 + 7 = 15, the first number

f - s = 8

15 - 7 = 8

8 = 8

4 0
3 years ago
A scientist measured the mass of a rock sample as 0.173 grams. On one report, she rounded the mass to the nearest tenth of a gra
Sever21 [200]
.o7 should be it hope I helped
3 0
3 years ago
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