Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

To find the population of a city next year, we multiply its current population by 1.024 . By what percent does the population increase per year?
Answer:______
%

To find the population of a city next year, we multiply its current population by $1$ . $024$ . By what percent does the population increase per year? $\newline$ Answer:______ $\%$

View step-by-step help

View step-by-step help

Percent of change: word problems

Full solution

Q. To find the population of a city next year, we multiply its current population by

1

.

024

. By what percent does the population increase per year?

\newline

Answer:______

\%

Identify Population and Growth Factor: First, we need to identify the current population and the factor by which it increases. The problem states that the population is multiplied by $1.024$ to find the population for the next year.
Calculate Percent Increase: To find the percent increase, we need to subtract $1$ from the growth factor because the original population is represented by $1$ (or $100\%$ ). $\newline$ So, the percent increase is $(1.024 - 1) = 0.024$ .
Convert Decimal Increase to Percentage: Now, we convert the decimal increase to a percentage by multiplying by $100$ . $\newline$ Percent increase = $0.024 \times 100\% = 2.4\%$ .

More problems from Percent of change: word problems

Question

Owen answered a set of math and history Quiz Bowl questions. Owen correctly answered

72\%

200

questions. However, Owen answered

53.3\%

of the math questions correctly. If

45\%

of the questions were in math, what percent of history questions did Owen answer correctly? (Round to the nearest percent. Ignore the

\%

symbol when entering your answer. For example, if the answer is

11.2\%

11

Posted 7 months ago

Question

Haruka hiked several kilometers in the morning. She hiked only

6\,\text{kilometers}

in the afternoon, which was

25\%

less than she had hiked in the morning.

\newline

How many kilometers did Haruka hike in all?

\newline

\text{kilometers}

\newline

Reperta.problem

Posted 6 months ago

Question

Haruka hiked several kilometers in the morning. She hiked only

6

kilometers in the afternoon, which was

25\%

less than she had hiked in the morning. How many kilometers did Haruka hike in all?

\newline

\square

Posted 6 months ago

Question

John is a quarterback. This year, he completed

350

passes, which is

70\%

of all the passes he's attempted this year.

\newline

How many passes has John attempted this year?

\newline

Posted 6 months ago

Question

20\,\text{cm}

tall last month. This month, it grew by

25\%

. What is its height this month?

Posted 6 months ago

Question

\newline

0.6\overline{32}

as a fraction? Move numbers to the blanks to complete the fraction.

\newline

\frac{\Box}{79}

\newline

\frac{\Box}{125}

\newline

\frac{\Box}{313}

\newline

\frac{\Box}{457}

\newline

\frac{\Box}{495}

\newline

\frac{\Box}{632}

\newline

\frac{\Box}{999}

Posted 6 months ago

Question

On Monday, Florencia's hair was

h

centimeters long. She got a haircut on Tuesday, so her hair was only

75\%

of the length it was on Monday.

Posted 6 months ago

Question

The double number line shows that Shanika has built

15

\newline

Complete the table to show different percentages of the banjos.

\newline

\begin{tabular}{c|c}

\newline

Banjos & Percentage \\

\newline

15

15

\newline

33

15

\newline

6

15

\newline

Posted 6 months ago

Question

One year, the population of a city was

364

000

. Several years later it was

323

960

\newline

Find the percent decrease.

\newline

Answer:__________

\%

Posted 6 months ago

Question

\frac{j}{k} - 0.2k

Posted 22 hours ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant