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Alex Ar [27]
2 years ago
5

Solve the equation using distributive property and properties of equality

Mathematics
1 answer:
netineya [11]2 years ago
8 0

Answer: -5(8+3) = -55

Step-by-step explanation: a = 8

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Alton had $725 for Medicare, $3000 for state income tax, and $3100 for
ella [17]

Answer:

\$6825

Step-by-step explanation:

Amount deducted for Medicare = $725

Amount deducted for state income tax = $3000

Amount deducted for Social security = $3100

To find: Total amount deducted from Alton's pay for FICA last year

Solution:

Total amount deducted from Alton's pay for FICA last year = Amount deducted for Medicare + Amount deducted for state income tax + Amount deducted for Social security   = 725+3000+3100

On adding 725 and 3000, we get 725+3000=3725

On adding 3725 and 3100, we get 3725+3100=6825

So, amount deducted = \$6825

7 0
2 years ago
Read 2 more answers
Expand and simplify ( √2 + 3)to the power of 2
11111nata11111 [884]

Answer:

Step-by-step explanation:

(\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11

hope this helps

5 0
3 years ago
Suppose a principal amount of $7500 was invested at an interest rate of 6%. How long did it take to reach $10650?
Oliga [24]

Based on the information how long did it take to reach $10650 is 7years.

Given:

Principal=$7,500

Rate=6%

Amount=$10650

Time=?

Simple Interest(SI)=A-P

=$10650-$7500

=$3150

Time=(100×SI)/(p×r)

T=(100×3150)/(7500×6)

T=315,000/45,000

T=7 years

Inconclusion how long did it take to reach $10650 is 7years.

Learn more here:

brainly.com/question/15610358

6 0
2 years ago
A boat heads north across a river at a rate of 2 miles per hour. If the current is flow A boat heads north across a river at a r
Ivahew [28]

Answer:

\textrm{Resultant velocity}\ =\ \sqrt{29}\ miles/hour

along the direction 68.19° from north.

Step-by-step explanation:

Given,

  • speed of the boat, u= 2 miles/hour along north
  • speed of the river, v= 5 miles/ hour along east

Since, north and east are perpendicular to each other, so we can write the resultant velocity in vector form as,

\vec{r}\ =\ 2\hat{i}+5\hat{j}

Hence, the magnitude of resultant velocity can be written as

r\ =\ \sqrt{2^2+5^2}

  =\ \sqrt{4+25}

  =\ \sqrt{29}

Hence, the magnitude of resultant vector is \sqrt{29} moles/hour.

And the direction of the boat can be given by,

tan\theta\ =\ \dfrac{5}{2}

=>\ tan\theta\ =\ 2.5

=>\ \theta\ =\ tan^{-1}2.5

                 = 68.19°

Hence, the resultant velocity of boat is \sqrt{29} miles/hour along the direction making an angle 68.19° with the north.

8 0
2 years ago
I don't know the answer or how to find the answer for give the domain and range of each function. #16 & 18
NNADVOKAT [17]
The domain is anything x is and the range is anything y is. Therefore, to find the domain and ranges in #16 and #18, just copy down the numbers from the charts.

#16
Domain (x): 100, 120, 150, 170
Range (y): 5.4, 3.5, 2.7, 0.2

#18
Domain (x): 20, 25, 35, 40
Range (y): 12, 15, 21, 24
3 0
3 years ago
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