According to data from the U.S. Census Bureau, in 2010 21,495 workers in Wake County had a daily commute between 45 and 59 minutes. By 2016 the number of workers with this long of a commute had increased by 82%. How many Wake County workers had a 45-59 minute commute in 2016?

Answers

Answer 1
Answer: about 39,121 workers

=======================================================

Explanation:

Ignore the "45" and "59" as they aren't used in this problem. The year numbers don't matter either.  These numbers are either thrown in as filler or distraction.

We're basically being asked "we started with 21,495 and increased by 82%, what is the new value?"

Take 82% of this to get 0.82*21495 = 17,625.9 which rounds to 17,626 since it doesn't make sense to have a decimal or fractional portion of a person. So the number of workers has increased by about 17,626 people.

Add this to the original amount to get 21,495 + 17,626 = 39,121 which is the answer

--------------

As a shortcut, you could multiply 21495 by 1.82 to indicate an 82% increase

1.82*21495 = 39,120.9 which rounds to 39,121


Related Questions

Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with given initial conditions. dx +9x = 161, where x(0) = 0 and (0) = 5

Answers

Answer:

X(s) = 2/[s³(s + 9)]

Step-by-step explanation:

Here is the complete question

Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with given initial conditions.

dx/dt + 9x = 16t²     x(0) = 0 and dx(0)/dt = 5

Solution

dx/dt + 9x = 16t²

Taking the Laplace transform of the differential equation, we have

L{dx/dt + 9x} = L{16t²}

L{dx/dt} + L{9x} = L{16t²}

L{dx/dt} + 9L{x} = 16L{t²}

sL{x} - x(0) + 9L{x}  = 16L{t²}

L{x} = X(s)

L{t²} = 2!/s³

Substituting X(s) and L{t²} into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

Substituting x(0) = 0 into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

sX(s) - 0 + 9X(s) = 2!/s³

sX(s) + 9X(s) = 2!/s³

Factorizing X(s), we have

(s + 9)X(s) = 2!/s³

X(s) = 2/[s³(s + 9)]

So X(s) in the Laplace domain is

X(s) = 2/[s³(s + 9)]


Solve the following system of equations using substitution:
2x - 2y + z = 8
-y+z=4
2z=4​

Answers

Answer:

Step-by-step explanation:

2z = 4

z = 2

-y + 2 = 4

-y = 2

y = -2

2x + 4 + 2 = 8

2x + 6 = 8

2x = 2

x = 1

(1, -2, 2)

If your car travels 300 miles and uses 10.2 gallons, how many miles per gallon did you get? (Round your answer to three decimal places.)

Answers

29.4 miles per gallon

simplify the expresion: 8(x^4 y^3)2/3

Answers

Answer:

Answer is this or not

Step-by-step explanation:

16x^4y^3/3

HURRY HELP!
The formula B = 100 + 75m gives the balance (B) of a bank account after (m) months of saving. Solve for m and then use your solution to find the number of months you would need to save to have a balance of $700.

Answers

Answer:

8 Months

Step-by-step explanation:

The formula in the problem (B = 100 + 75m) can be written as this:

(B-100)/75 = M

The problem gives us the balance (B=700), which we can plug into our new formula to find the number of months (m).

(700-100)/75 = M

M = 8

I hope this helps!

-TheBusinessMan

what is the density of an object with 17 g and a volume of 3cm^3

Answers

Answer:

5.6666666666667 grams/cubic centimeters

Step-by-step explanation:

teps:

ρ =    m / v

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  

17 gram s / 3 cubic centimeter

=  5.6666666666667 grams/cubic centimeter

I believe this is correct unless you need to round it up

I hope I helped

Answer:

5.67g/cm³

Step-by-step explanation:

Density =mass ÷ volume

17÷3=5.67

The highest point in Louisiana is Driskill Mountain at 585 feet. The lowest points -8 feet in New Orleans. What is the difference in feet between the highest and lowest elevation points? PLEASE SHOW THIS ON A VERTICLE NUMBER LINE!!!!!

Answers

The answer is a 577 foot difference

An atom that becomes positively charged due to the loss of one or more electrons is referred to as a/an proton. cation. . base, ( anion.​

Answers

Answer:

cation.

right on the test, Mark brainlieste

Step-by-step explanation:

Answer: cation

Step-by-step explanation: an ion formed by the loss of one or more electrons becomes positively charged and is a positive ion, or cation

Suppose your SAT score is 1180. You look up the average SAT scores for

students admitted to your preferred colleges and find the list of scores below.

Based on your SAT score of 1180, which average score below represents the

college that would be your best option?

A. 1030

B. 1470

C. 1190

D. 900

Answers

Answer:

1190

Step-by-step explanation:

You have $437 in a savings account. After a deposit, the balance is $1087. What was the amount of the deposit?

Answers

Answer 650


Explanation: subtract 437 from 1087

Write the equation of the line that goes through the point
(7, 10) and is parallel to the line y = 2x + 5

Answers

Use point slope equation.

Since parallel, the slope is the same. Then jsut plug in the numbers to the formula (u can google this)

y - 10 = 2 (x - 7)

^^this is point slope form

for slope intercept:

y = 2x - 4

Answer:

[tex]y=2x-4[/tex]

Step-by-step explanation:

So we want to write an equation of a line that goes through the point (7,10) and is parallel the the line y=2x+5.

First, we can determine the slope of our new line. Parallel lines always have the same slope. In other words, the slope of our new line must also be 2.

Now, we can use the point-slope form to find our equation:

[tex]y-y_1=m(x-x_1)[/tex]

Let's let (7,10) be x₁ and y₁. Let's also substitute 2 for m. Thus:

[tex]y-10=2(x-7)[/tex]

Distribute:

[tex]y-10=2x-14[/tex]

Add 10 to both sides:

[tex]y=2x-4[/tex]

And we're done!

Joseph stated that 5/4 is a whole number because it does not repeat as a decimal. Is he correct? Why or Why Not?​

Answers

Answer:

It is not a whole number.

Step-by-step explanation:

5/4 is equals to 1.25

Therefore it is still a decimal and a fraction, NOT a whole number

Mylie went by the gas station to get 2.4 gallons of gas. She paid with a $10 bill and a $5 bill and received $4.68 as change. What was the cost for one gallon of gas before taxes? $4.30 $8.20 $10.32 $24.77

Answers

We don't know what tax percentage or amount is so we have to keep this part out.

Add to find how much she paid with.

10 + 5 = $15

Subtract to find how much she paid.

15 - 4.68 = $10.32

Divide to find the unit price.

10.32 / 2.4 = $4.30 per gallon

Best of Luck!

The Key Club is selling personalized valentines to raise money.  The print shop charges $2 for each valentine, plus a flat rate of $10 for printing.  Write an equation to represent how many valentines the club can print with a budget of $125.​

Answers

the answer is 2x + 10 = 125

Answer:

2x + 10 = 125 is the answer

did it on edge

Step-by-step explanation:

raji collected numerical data. which question could raji ask for categorical data?

A. what kind of pet do you have?
B. how long have you had a pet?
C. how much does your pet weigh?
D. how tall is your pet?​

Answers

I think the answer is a but I’m not 100% sure

33 points!! The line contains the point (4,-2) and is perpendicular to 4x+3y=-6 The equation of the line is:

Answers

Answer:

y = 3/4 x - 5

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.

4x + 3y = -6

Solve for y.

3y = -4x - 6

y = -4/3 x - 2

The slope of the original line is -4/3.

The slope of the perpendicular is 3/4.

Now we need to find the equation of line with slope 3/4 that contains point (4, -2).

y = mx + b

-2 = (3/4)(4) + b

-2 = 3 + b

-5 = b

b = -5

The equation is

y = 3/4 x - 5

Darren drives to school in rush hour traffic and averages 30 mph. He returns home in mid-afternoon when there is less traffic and averages 40 mph. What is the distance between his home and school if the total traveling time is 1 hr 45 min?

Answers

Answer:

Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.

The formula for distance problems is: distance = rate × time or d = r × t.

Things to watch out for:

Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.

It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.

Step-by-step explanation:

Find all x-intercepts and y-intercepts of the graph of the function . f(x) = - x ^ 3 + x ^ 2 + 12x If there is more than one answer, separate them with commas. Click on "None" if applicable.

Answers

Answer:

The y-intercept is (0,0)

The x-intercepts are (-3,0), (0,0), and (4,0)

Step-by-step explanation:

So we have the function:

[tex]f(x)=-x^3+x^2+12x[/tex]

And we want to solve for the x- and y-intercepts.

Y)

To solve for the y-intercept, recall that the y-intercept is when the graph touches the y-axis. At that point, the x values is 0. Thus, to find the x-intercept, substitute 0 for x:

[tex]f(x)=-(0)^3+(0)^2+12(0)[/tex]

Simplify:

[tex]f(x)=0[/tex]

So, the y-intercept is (0,0)

X)

To solve for the x-intercept(s), set the function equal to 0 and solve for x:

[tex]0=-x^3+x^2+12x[/tex]

First, factor out a negative x:

[tex]0=-x(x^2-x-12)[/tex]

Factor within the parentheses:

[tex]0=-x(x-4)(x+3)[/tex]

Zero Product Property:

[tex]-x=0\text{ or } x-4=0\text{ or } x+3=0[/tex]

Divide by -1 on the first one. Add 4 on the second one. And subtract 3 on the right:

[tex]x=0\text{ or } x=4\text{ or } x=-3[/tex]

So, our x-intercepts are:

[tex](-3,0), (0,0), (4,0)[/tex]

And we're done :)

Write the recurrence relation for the nth term which is defined by multiplying the prior term by 3 and subtracting 12.

Answers

Answer: Aₙ = 3*Aₙ₋₁ - 12

Step-by-step explanation:

Here our terms will be denoted as:

Aₙ

Where this is the n-th term of the sequence.

Now we have that the recurrence relation is defined by:

"by multiplying the prior term by 3 and subtracting 12."

Then we will have that:

Aₙ = 3*Aₙ₋₁ - 12

That is the equation to find all the terms in our sequence (remember that we need to know the initial term, A₀ in order to find all the other ones)

If f(x) = x+2 and g(x) = radical x-9, find g(f(x)).

Answers

Answer:

second option

Step-by-step explanation:

Substitute x = f(x) into g(x) , that is

g(f(x))

= g(x + 2)

= [tex]\sqrt{x+2-9}[/tex]

= [tex]\sqrt{x-7}[/tex]

You are the manager of a fast-food store. Part of your job is to report to the boss at the end of each day which special is selling best. Use your vast knowledge of descriptive statistics to write one paragraph letting the boss know what happened today. Here are the data. Do this exercise by hand. Be sure to include a copy of your work.SPECIAL NUMBER SOLD COSTHuge Burger 20 $2.95Baby Burger 18 $1.49Chicken Littles 25 $3.50Porker Burger 19 $2.95Yummy Burger 17 $1.99Coney Dog 20 $1.99Total Specials Sold 119

Answers

Answer:

A total of 119 Specials were sold today.  Chicken Littles had the highest number sold, which represents about 21% (25/119 * 100) of the total sales and a cost of 24% of the total costs.  This was followed by Huge Burger and Coney Dog which were sold 20 each or about 17% of the number sold.  Poker Burger, Baby Burger, and Yummy trailed behind with total sales of 19, 18, and 17 respectively.

Step-by-step explanation:

a) Data and Calculations:

SPECIAL            NUMBER SOLD  Percentage   COST      Percentage

Huge Burger                20           17%                 $2.95        20%

Baby Burger                 18            15%                 $1.49         10%

Chicken Littles            25           21%                 $3.50         24%

Porker Burger              19            16%                $2.95        20%

Yummy Burger             17            14%                 $1.99         13%

Coney Dog                  20            17%                 $1.99         13%

Total Specials Sold    119          100%               $14.87        100%

Find ( f - g ) (x) f (x) = 2x^2 - 2 and g (x) = 4x + 1

Answers

Answer:

( f - g ) (x) f (x) = 2x^2 - 2  

g (x) = 4x + 1

answers in pics

Answer:

Explanation:

(f-g)(x) = f(x) - g(x)

Thus,

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

Therefore, 2x^2 - 4x - 3 = (f-g)(x)

How many meters are in 3.5 kilometers

Answers

Answer:

Hey there!

1000 meters are in one kilometer, so 3500 meters are in 3.5 kilometers.

Hope this helps :)

Answer:

3,500 meters

Step-by-step explanation:

So this is conversation rates. So how I like to remember conversion rates in the metric system is King Henry Doesn't Usually Drink Chocolate Milk.

K=Kilo, H=Hecto, D=Deca, U=Unit (meters, liter, grams), D=Deci, C=Centi, M=Milli.

SO between meters (which is the U) and kilometers (which is the K), there's 3 letters so kilometers is 1000 times greater than meters. SO 3.5*1000=3500.

Hope this helped

Which one of these is not an integer?
a 0.75
b-9
со
d 16
Check it

Answers

C is most definitely not an integer because the rest are numbers but C is the letter O

Answer:

A

Step-by-step explanation:

What is the slope of the line passing through the given points.
(-3,2), (6,-1)

Answers

Answer:

-1/3

Step-by-step explanation:

Since we are given two points, we can find the slope using

m = ( y2-y1)/(x2-x1)

   = ( -1-2)/( 6- -3)

   = ( -1-2) /( 6+3)

   = -3/9

    = -1/3

Answer:

Slope (m) = [tex]\frac{-1}{3}[/tex] = -0.33333333...

Step-by-step explanation:

Slope (m) = ΔY -1

                   ΔX  3

(m)= -1/3

E is the midpoint of DF. If DE = 15x and DF = 31x -11, what is DF?

Answers

Step-by-step explanation:

(31x-11)-15x=DF

DF= 16x-11

Answer:

(31x-11)-15x=DF

DF= 16x-11

Step-by-step explanation:

It should be right

PLEASE HURRY


which expression is equivalent to -3 + (7x+13)

Answers

I think it’s 7x plus -4x which equals -3 then u would do 2 plus -7 which equals-5 so it will be positive 8 I think I do t really know I tried

Answer: [tex]7x+10[/tex]

Step-by-step explanation:

Combine the terms;

[tex]-3+7x+13\\(7x)+(-3+13)\\7x+10[/tex]

How are integers and rational numbers the same ?

Answers

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Step-by-step explanation:

Answer:

an integer is a rational number

Step-by-step explanation:

Square root !!!!!!!!

Answers

Answer:

hope this helped

Step-by-step explanation:

Step 1: Calculate. We calculate the square root of 50 to be: √50 = 7.07106781186548.

Step 2: Reduce. 7.07.

Step 3: Round. Round 7.07 so you only have one digit after the decimal point to get the answer: 7.1.

I need help by figuring this out, this is geometry.

Answers

It says that the length is 8 and then half of it is 4 so the other half is going to be 4
The answer is 4, because 4+4=8
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