Which of the following is a government incentive to save for retirement that offers a
tax benefit?

Contribution matching
O Roth IRA
Opt-in program
O 529 plan

Answer: natural; whole; integer; rational; real

Step-by-step explanation:

16/4=4

Natural: numbers that are greater than 0.

4 is greater than 0

Whole: numbers that are equal or greater than 0

4 is equal or greater than 0

Integer: numbers that have no decimal points

4 has no decimal points

Rational: numbers that can be written as fraction

4=16/4 which is fraction

It is already rational, so it will not be irrational.

Real: all number you can name are real number

4 is four

Answer:

i=12p−w

Step-by-step explanation:

Step 1: Flip the equation.

2i+2w=p

Step 2: Add -2w to both sides.

2i+2w+−2w=p+−2w

2i=p−2w

Step 3: Divide both sides by 2.

2i2=p−2w2

i=12p−w

Answer:

3. x = 17

4. a. m<NMP = 48°

b. m<NMP = 60°

Step-by-step explanation:

3. Given that <BAM = right angle, and

m<BAM = 4x + 22, set 90° equal to 4x + 22 to find x.

4x + 22 = 90

Subtract 22 from both sides

4x + 22 - 22 = 90 - 22

4x = 68

Divide both sides by 4

4x/4 = 68/4

x = 17

4. a. m<NMQ = right angle (given)

m<PMQ = 42° (given)

m<PMQ + m<NMP = m<NMQ (angle addition postulate)

42 + m<NMP = 90 (substitution)

m<NMP = 90 - 42 (subtracting 42 from each side)

m<NMP = 48°

b. m<NMQ = right angle (given)

m<NMP = 2*m<PMQ

Let m<PMQ = x

m<NMP = 2*x = 2x

2x + x = 90° (Angle addition postulate)

3x = 90

x = 30 (dividing both sides by 3)

m<PMQ = x = 30°

m<NMP = 2*m<PMQ = 2*30

m<NMP = 60°

Answer:173/10

Step-by-step explanation:

Answer:

x= 17.3

Step-by-step explanation:

-10(x-17) = -3                 equation

-10x + 170 = -3             multiply -10 to everything in parenthesis

-10x = -173                   subtract 170 from both sides of the equation

[tex]\frac{-10x}{-10} =\frac{-173}{-10}[/tex]                  divide -10 from both sides

x= 17.3

Step-by-step explanation:

tan30° = Height of person / (Distance away from river bank + river's width) = 1/√3.

Therefore 1.6m / (2m + x) = 1/√3

By cross multiplication, 1.6√3 = 2 + x.

Hence, x ≈ 0.77m.

Answer:

x = 3, y = 150

k = y/x

k = 150/3 = 50

y = 50x....when  x = 4.3

y = 50(4.3) = 215 tons of steel

Answer:

8n - 14 = 4n + 3 is the equation

and

n = 4.25

Step-by-step explanation:

hope this helped a little bit :))

Answer:

the b

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Blank= 5

2. Blank= 10 (I believe)

3. Blank= 8

4. Blank= 13 (I believe)

5. Blank= 12

6. Blank= 7

Hope it helps!

OwO

Answer:

100 minutes

Step-by-step explanation:

Sprints = $39.99 +&0.45

Verizon= $44.99+$0.40

Step 1: Equate the values

[tex]39.99 + 0.45m = 44.99 + 0.40m[/tex]

Step 2 :Collect like terms and simplify

[tex]0.45m - 0.40m = 44.99 - 39.99 \\ 0.05m = 5[/tex]

Step 3 :Divide both sides of the equation by 0.05

[tex] \frac{0.05m}{0.05} = \frac{5}{0.05} [/tex]

Step 4 :Simplify

[tex]m = 100 \\ = 100 \: minutes[/tex]

Answer:

Q1 a) 0.9545

b) 0.02275

c) 0.97725

Q2 z is approximately equal to -1.466

Step-by-step explanation:

Q1 The given information are;

The mean time to commute to work = 24.4 minutes

The standard deviation = 6.5 minutes

a) The z-score for 11.4 is given as follows;

[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]

Where;

x = Observed value 11.4

μ = The mean = 24.4 minutes

σ = The standard deviation = 6.5 minutes

[tex]Z=\dfrac{11.4-24.4 }{6.5 } = -2[/tex]

The z-score for 37.4 is given as follows;

[tex]Z=\dfrac{37.4-24.4 }{6.5 } = 2[/tex]

-2 < z < 2, which gives, from the z-score table;

The probability of commute time to be between 11.4 minutes and 37.4 minutes =  0.97725 - 0.02275 = 0.9545

b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275

c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725

Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;

[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]

[tex]Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466[/tex]

Answer:

129 divided by 12

Step-by-step explanation:

itll get the amount of feet

Answer:

The roast weighed 1.375 kg

Step-by-step explanation:

Here, we want to know what the roast lamb will weigh in kilograms given its cooking time.

From the question, we are told that to cook 250 grams, 20 minutes is need.

So let’s make a relationship here,

Firstly let’s express 1 hour and 50 minuets in minutes, that will be 60 + 50 = 110 minutes( 1 hour is 60 minutes)

Now;

let’s have our relationship;

20 minutes = 250 grams

110 minutes = x grams

By cross multiplication;

20 * x = 250 * 110

20x = 27,500

x = 27500/20

x = 1,375 grams

But, mathematically 1000g = 1kg

So 1,375 will be 1375/1000 = 1.375 kg

Answer:

10 birdhouses

Step-by-step explanation:

floor gang aooh sub to pewdiepie

Answer:

4

Step-by-step explanation:

edg and i got it right

For the number of hours greater than or equal to 5.4,  it would take for a worker in this factory to reach 100% of her daily noise exposure.

inequality : An inequality is used to make unequal comparisons between two expressions or numbers.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is that the inequality (94 – 3 log2x ≤ 88) describes noise exposure level (in decibels) in terms of the number of hours {x} it takes to reach 100% of a person’s recommended daily noise dose.

The given inequality is -

94 – 3 log(2x) ≤ 88

94 - 88 ≤ 3 log(2x)

6 ≤ 3 log(2x)

log(2x) ≥ 2

log(2) + log(x) ≥ 2

log(x) ≥ 2 - log(2)

log(x) ≥ (2 - 0.31)

log(x) ≥ 1.69

x ≥ 5.41

Therefore, for the number of hours greater than or equal to 5.4,  it would take for a worker in this factory to reach 100% of her daily noise exposure.

To solve more questions on inequality, visit the link below -

https://brainly.com/question/14610360

#SPJ2

Answer:

$4.47

Step-by-step explanation:

Price if 1 pound of bananas=$1.49

Price if 3 pounds of bananas=3x$1.49

=$4.47

Answer: 20.442 seconds

Step-by-step explanation:

From the question, we are informed that Amy ran a race in 20.7 seconds and that Katie finished the race 0.258 second before Amy.

To know how long it took Katie to run the race, we subtract 0.258 seconds from 20.7 seconds. This will be:

= 20.7 - 0.258

= 20.442 seconds

Answer:

5.0587

Step-by-step explanation:

First, you have to count to the fourth number after the decimal;

That number is 7, the number after it is the one that will help you round.

Since that number is 0 you round down to 7.

Answer:

5.0587

Step-by-step explanation:

So we look at 5.05870

we count to four after the decimal place and land on the seven, next we look at the digit behind to seven to determine if we can round (remember 5 or more round the score, four or less let it rest).

Answer:

(3x +   7) (x +  1 )

Step-by-step explanation:

3x^2+10x+7

first : 3x² is 3x*x

(3x       ) (x        )

the sign of the constant is positive so it is either (plus *plus or minus*minus)

since the sign of the middle is plus (+10x) and 7 is prime number so it has to be (7*1)

(3x +   7) (x +  1 )

check : multiply 3x(x+1)    and 7(x+1)

3x*x +3x*1

          7*x    +1*7

____________________ add

3x²+ 10x   +7   (correct)

Answer:

3x^2 + 10x + 7

1. 3x^2 + 3x + 7x +7

2. 3x(x +1) 7(x+1)

3. (3x + 7)(x+1)

Step-by-step explanation:

- to factor by grouping, you need an even amount of terms, so to do this you have to split up the middle term, 10x, into two terms. (see step 2)

-to get these numbers, you multiply the coefficents of the first and second term, in this case it would be 3 and 7. When you multiply 3 and 7, you get 21, then you want to find 2 numbers that multiply to 21, but also add up to 10. In this case, it is 7 and 3 again. but it won't always be the originial numbers.  ( see step 1)

-then you look at the first two terms, and pull out the common factor, in this case it is 3, you then see what is left over and put it in the parenthesis.

- repeat this again for the second two terms, in this case it is 7. (see step 2)

- you know you have done it right when the numbers in the parenthesis are the same, if they aren't you did it wrong. (see step 2)

- then take the set of numbers in the parenthesis, and the two numbers you are multiplying by, in this case 3x and 7, and those are your factors. (see step 3)

Answer:

Step-by-step explanation:

If k is any integer then 2k is even number and 2k+1 is odd number.

The next odd number to 2k+1 would be: 2k+1+2=2k+3

the sum is 104 so:

2k+1 + 2k+3 = 104

4k + 4 = 104

4k = 100

k = 25

2k+1 = 2•25+1 = 51

2k+3 = 2•25+3 = 53

Check:

51 + 53 = 104

Hey there! I'm happy to help!

In a mixed number, we keep the whole number the same.

For the decimal, we have .38 which is 38/100.

We can simplify this by dividing the numerator and denominator by 2, giving us 19/50.

We combine the whole number and fraction, giving us -40 19/50.

Have a wonderful day! :D

Answer:

width  = 11, len = 19

Step-by-step explanation:

length = 2w - 3

l = length

w = width

2(length) + 2(width) = perimeter

2(2w - 3) + 2(w) = 60

6w -6 =60

w = 11

len = 2(11) - 3

The length of the rectangle is 19 inches and the width is 11 inches

The perimeter of a rectangle is given as 2(l+w)

Now

Given that the Perimeter is 60 inches

Let the width be w

So that the Length is 2w -3

Putting the values into the equation , we have

Perimeter = 2(l+w)

Perimeter =2L + 2w  

Putting the values

Perimeter =2(2w -3) + 2w

Perimeter =4w -6 + 2w

60=6w-6

60+6=6w

66=6w

w  =66/6  =11inches

Since the width is 11 inches,

The length will be  2w -3 = (2x11)-3=19 inches

See similar question here:https://brainly.com/question/17865272

Answer:

Student 2 1 sec

Step-by-step explanation:

The function h(x) has a maximum at 4,the vertix is 4,3

[tex]\text {Hi! Let's Solve this Equation!}[/tex]

[tex]\text {The First Step is to Simplify the Equation:}[/tex]

[tex]\text {3 becomes 3x. 3*-2=-6 so that becomes -6.}[/tex]

[tex]\text {Add: -6+4=-2}[/tex]

[tex]\text {Your new Problem should be: 3x+-6+4=2x-1}[/tex]

[tex]\text {The Next Step is to Subtract 2x:}[/tex]

[tex]\text {3x-2-2x=2x-1-2x}\\\text {x-2=-1}[/tex]

[tex]\text {The Final Step is to Add 2:}[/tex]

[tex]\text {x-2+2=-1+2}[/tex]

[tex]\text {Your Answer should be:}[/tex]

[tex]\fbox {x=1}[/tex]

[tex]\text {Best of Luck!}[/tex]

[tex]\text {-LimitedX}[/tex]

Answer:

- 1

Step-by-step explanation:

Step 1:

3 ( x - 2 ) + 4 = 2x - 1        Equation

Step 2:

3x - 6 + 4 = 2x - 1      Multiply

Step 3:

3x - 2 = 2x - 1     Combine Like Terms

Step 4:

3x = 2x - 1 + 2   Add 2 on both sides

Step 5:

3x = 2x - 1    Combine Like Terms

Step 6:

x = - 1     Subract 2x on both sides

Answer:

x = - 1

Hope This Helps :)

Answer:

Between 6-7

Step-by-step explanation:

The square root of 47 is in-between 6 (36) and 7 (49), and is closer to 7 than to 6.

*Formatting is a little off, so apologies if this isn't the exact answer you're looking for

Answer: B

Step-by-step explanation:

Answer:

a) (-3/2,0), (0,-10)

Step-by-step explanation:

y = mx + b

Change the equation to y intercept form.

-3x - 2y = 20

Isolate -2y by adding 3x on both sides.

-2y = 3x +20

Divide everything by -2

y = [tex]-\frac{3}{2}x[/tex] - 10

If you have a ti 84 plus calculator put it in the calculator:

go to y =

then press 2nd graph

then press graph

you will be at the (x,y) table  

look at what (x,y) value match your choices.

Another way to solve this equation is to substitute.

a) is the correct choice