1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vsevolod [243]
3 years ago
15

the U.S. Census Bureau states that in 2010 the average commute time for Wake County workers was 23.9 minutes and in 2016 the ave

rage was 25 minutes. What was the percentage increase in average commute times between these years? Write your answer as a percentage rounded to two decimal places, but do not include the % symbol.
Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0
<h3>Answer:  4.60%</h3>

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

Explanation:

We'll ignore the year numbers (2010 and 2016).

The difference in time values is 25-23.9 = 1.1 minutes

Divide this over the first time value to get (1.1)/(23.9) = 0.046025

Moving the decimal point over to the right 2 spots gets us 4.6025% which then rounds to 4.60% when rounding to two decimal places.

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

As a way to verify the answer:

4.60% of 23.9 = 0.046*23.9 = 1.0994

Increasing by 4.60% means the time value has increased by roughly 1.0994 minutes. So we go from 23.9 to 23.9+1.0994 = 24.9994 which is fairly close to 25 minutes. There's a bit of rounding error, but we have effectively confirmed the answer.

You might be interested in
Prove: cot(x) sec^4(x) = cot(x) +2tan(x) + tan^3(x)
masha68 [24]
\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}&#10;\qquad\qquad &#10;sec(\theta)=\cfrac{1}{cos(\theta)}\quad\qquad  1+tan^2(\theta)=sec^2(\theta)\\\\\\&#10;tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}&#10;\qquad \qquad cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}&#10;\\\\&#10;-------------------------------\\\\&#10;cot(x)sec^4(x)=cot(x)+2tan(x)+tan^3(x)\\\\&#10;-------------------------------\\\\

\bf \textit{so, let's do the left-hand-side}\\\\&#10;cot(x)sec^2(x)sec^2(x)\implies cot(x)[1+tan^2(x)][1+tan^2(x)]&#10;\\\\\\&#10;cot(x)[1^2+2tan^2(x)+tan^4(x)]&#10;\\\\\\&#10;cot(x)+2tan^2(x)cot(x)+tan^4(x)cot(x)&#10;\\\\\\&#10;cot(x)+2\cdot \cfrac{sin^2(x)}{cos^2(x)}\cdot \cfrac{cos(x)}{sin(x)}+\cfrac{sin^4(x)}{cos^4(x)}\cdot \cfrac{cos(x)}{sin(x)}&#10;\\\\\\&#10;cot(x)+2\cdot \cfrac{sin(x)}{cos(x)}+\cfrac{sin^3(x)}{cos^3(x)}\implies \boxed{cot(x)+2tan(x)+tan^3(x)}
8 0
3 years ago
How many times will 3 go into 1,710 ?
swat32
1,710/3 = 570 <== this is just simple division...nothing a calculator can't do.
8 0
3 years ago
Which equation could possibly represent the graphed function?
Veseljchak [2.6K]

Answer:

A

Step-by-step explanation:

You're looking for x-intercepts

From the graph you know that the x-intercepts are as follows:

x = -4, x = -2, x = 4

And this is when y or f(x) = 0

so you can rewrite each x-intercept as an equation

0 = x + 4

0 = x + 2

0 = x - 4

Now you know each of the terms

f(x) = (x-4)(x+2)(x+4)

7 0
3 years ago
Read 2 more answers
The equation of a line is y = -4x + 10<br> What is the y-intercept of the line
Vikentia [17]

Answer:

10

Step-by-step explanation:

the formula y = mx +c

the y is obviously, y.

m, also means the gradient has a value of -4

c is the y-intercept, so the value of c is 10.

4 0
2 years ago
3x + 12y = 24<br> 3x - 3y = 24
ser-zykov [4K]

what would you like me to do with these numbers????

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the distance from -10 to 5 on the number line .
    7·2 answers
  • The data value that occurs most often in a data set is the ____________.
    10·1 answer
  • PLEASE ANSWER ASAP!!!!!!!!!!!!!!! 99 POINTS!!!
    14·2 answers
  • Cherries cost $5.68 a pound. Will $20 be enough to buy a 4.1-pound bag of cherries? Explain how to determine whether $20 is the
    10·2 answers
  • my daughter is having trouble with transformations and dilations. where can i get here some help to explain it better
    7·1 answer
  • If the supply of computer engineers increases at the same time that the demand for these workers decreases, what would be the MO
    10·2 answers
  • 72 teams with 24 players on each team went to the tournament. After each round half the teams were eliminated. How many players
    14·1 answer
  • A construction crew is paving a road. The crew has already paved 1,000 square feet and can pave at a rate of 300 square feet of
    8·1 answer
  • Help- i'm not the best at math. I know i ask for help on this question but i haven't seen anything as an answer/explanation.
    15·2 answers
  • Factorise: (Using Algebraic Identities)<br> 64x^3-(4x-3y)^3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!