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In the first week of August, there were 1,060 people at an amusement

Marrrta [24]

Answer:

In second week there is percentage decrease (-ve sign) of 20% in people visiting compare to first week.

In third week there is percentage increase of 50% in people visiting compare to second week.

In fourth week there is percentage decrease of 75% in people visiting compare to third week.

Solution:

Need to determine percentage change in the number of people who went to amusement park for each week in august.

Given that,

In first week of august number of people went to amusement park let say $p_1$ = 1060

In second week of august number of people went to amusement park let say $p_2$ = 848

In third week of august number of people went to amusement park let say $p_3$ = 1272

And in fourth week of august number of people went to amusement park let say $p_4$ = 318

Percentage change from first week to second week is as follows

$\% \text { change }=\frac{p_{2}-p_{1}}{p_{1}} \times 100=\frac{848-1060}{1060} \times 100$

$=\frac{-212}{1060} \times 100=-20 \%$

So in second week there is percentage decrease (-ve sigh) of 20% in people visiting compare to first week.

Percentage change from second week to third week is as follows

$\begin{aligned} \% \text { change }=\frac{p_{3}-p_{2}}{p_{2}} \times 100 &=\frac{1272-848}{848} \times 100 =\frac{424}{848} \times 100=50 \% \end{aligned}$

So in third week there is percentage increase of 50% in people visiting compare to second week

Percentage change from third week to fourth week is as follows

$\begin{aligned} \% \text { change }=& \frac{p_{4}-p_{3}}{p_{3}} \times 100=\frac{318-1272}{1272} \times 100 =\frac{-954}{1272} \times 100=-75 \% \end{aligned}$

So in fourth week there is percentage decrease of 75% in people visiting compare to third week

5 0

4 years ago

Find the value of 64 3/2

Alisiya [41]

Answer:

65 1/2 or 65.5

Step-by-step explanation:

3/2 = 1.5 or 1 1/2

5 0

3 years ago

Read 2 more answers

Solve the following equation: 9n² - n - 2/3 = 0

KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - $\frac{2}{3}$ = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = $\frac{1}{3}$

9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - $\frac{2}{9}$

3 0

3 years ago

The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is

hichkok12 [17]

Hi there
It would be 145

6 0

3 years ago

Read 2 more answers

Y = 7x + 4 where x is the number of weeks Anna saves and y is the total amount in her account

AveGali [126]

Answer:

X= 4/7 or =0.57143

Step-by-step explanation:

1.1 Solve y-7x+4 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-7x+4 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -4/1 so this line "cuts" the y axis at y=-4.00000

y-intercept = -4/1 = -4.00000

Calculate the X-Intercept :

When y = 0 the value of x is 4/7 Our line therefore "cuts" the x axis at x= 0.57143

x-intercept = 4/7 = 0.57143

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -4.000 and for x=2.000, the value of y is 10.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 10.000 - (-4.000) = 14.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 14.000/2.000 = 7.000

Geometric figure: Straight Line

Slope = 14.000/2.000 = 7.000

x-intercept = 4/7 = 0.57143

y-intercept = -4/1 = -4.00000

5 0

3 years ago