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3 years ago

What is the percent of increase from 5050 to 6767 ?

Mathematics

1 answer:

Veronika [31]3 years ago

7 0

Answer: 34%

Step-by-step explanation:

First you subtract the bigger number / the number you are getting the increase from (6767) and subtract 5050 from 6767. Which you end up getting 1,717. So you divide 1,717 by 5050. Then multiply that answer by 100 to get your percentage value. Which is 34%.

Hopefully That Makes Sense!

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A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the

photoshop1234 [79]

Answer:

$y=13x+32$

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

(x1, y1) = (2,60)
(x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

m is the slope
b is the y-intercept

We know the slope of the function can be found as following:

$m = \frac{y2 - y1}{x2 - x1}$ so in this situation we have:

<=> $m=\frac{99-60}{5-2}=\frac{39}{3}=13$

=> y = 13x + b (1)

Because the line goes through point (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

$y=13(9)+32\\y=117+32=149$

Hence, the company will produce 149 engines in 9th year

6 0

3 years ago

Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet

mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

7 0

2 years ago

Evaluate k = 13 helllp noww

OverLord2011 [107]

Answer:

-13

Step-by-step explanation:

4 0

3 years ago

Solve the following inequality.

Anika [276]

Solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

Given the following inequality,

$\frac{m - 2}{3} < -2 \\$

4m + 3 > 15

Let's solve algebraically for the value of m in both inequality statements given.

$\frac{m - 2}{3} < -2 \\$

Multiply both sides by 3

$\frac{m - 2}{3} \times 3 < -2 \times 3\\\\m - 2 < -6$

Add 2 to both sides

$m - 2 + 2 < -6 + 2\\\\m < -4$

4m + 3 > 15

Subtract 3 from each side

4m + 3 - 3 > 15 - 3

4m > 12

Divide both sides by 4

$\frac{4m}{4} > \frac{12}{4} \\\\$

m > 3

Therefore, solving the inequality given algebraically, the solution of the inequality for the value of m is:

m < -4 OR m > 3

Learn more here:

brainly.com/question/24434501

8 0

3 years ago

Taylor bought 6 tickets to a movie. The price of each ticket was the same. After he bought the tickets, his account balance show

Sladkaya [172]

It is -11.34

-$68.04 divide by 6 is -$11.34, so instead of 11.34, it's -11.34

3 0

3 years ago