A population decreases from 14,500 to 12,035. What is the percentage change?

Answers

Answer 1

Answer:

Answer:

Your answer is 17%

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Which of the following statements below is true about three-dimensional space? A. Some planes have no intercepts. B. Every plane must have three intercepts. C. Every plane must have at least two intercepts. D. Some planes have only one intercept.
A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?
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A mother decides to teach her son about a letter each day of the week. She will choose a letter from the name of the day. For example, on Saturday she might teach about the letter S or the letter U, but not the letter M. What letters are possible to teach using this method? (There are 15.) List all the letters in alphabetical order, with no spaces

When e = 4, f = 2, and g = 8. If e varies jointly with f and g, what is the constant of variation?

Answers

Answer:

$The\ constant\ of\ variation\ is\ (1)/(4).$

Step-by-step explanation:

As given in the question

If e varies jointly with f and g.

i.e

$e \propto fg$

e = kfg

Where k is the constant of variation.

When e = 4, f = 2, and g = 8

Put in the above

4 = k × 2 × 8

4 = 16k

$k = (4)/(16)$

$k = (1)/(4)$

$Therefore\ the\ constant\ of\ variation\ is\ (1)/(4).$

in joint variation, the equation of variation holds the form

e=k*fg, where k is the constant of variation. you can see how if either f or g increases, e increases as well, making e vary jointly with f and g. we are given the numbers e=4, f=2, and g=8, so when we input those into the general equations,

4=k*2*8,
k=1/4

A tailor needs ¾ of a yard of material to make a shirt. How many shirts can the tailor make with 20 yards of material?

Answers

ok so x has to be our unknown variable so 3/4x=20 so we divide keep change flip or kfc as we call it 3/4 times 1/20 would be 3/80

Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.

Answers

it would be the second one because it have a bigger value

Write the equation of the line whose slope is m=−9 and y-intercept is (0,5) in Slope Intercept Form. Show all work below.

Answers

Y=mx+b is slope intercept form...
m=slope
b=y-intercept
Answer- y=-9+5

Answer:

y = -9x +5

Step-by-step explanation:

y = mx+b

x = what you multiply the slope by

b (y-int) = the y-intercept

y = y

Please help!The guidelines for a healthy adult are to maintain a Body Mass Index (BMI) between 19.5 and 24.9. A formula that relates the height of an adult to his or her weight and BMI is shown in the picture below, where h=height in inches, w=weight in pounds, and M=BMI.

1.) Find the formula that will directly calculate BMI given a person's height and weight.

2.) Chris weighs 211 pounds and has a BMI of 28.5. How many whole pounds must he gain or lose to get into the healthy BMI range?

Thank you!!

Answers

1. $h=40\sqrt{(.45w)/(M)}\Rightarrow(h^2)/(1600)=\frac{.45w}M\Rightarrow M=(720w)/(h^2)$

2. his BMI has to be reduced by 28.5-24.9=3.6

We must thus solve $(720w)/(h^2)=3.6$ thus $(720w)/(h^2)=3.6h^2/720=.005h^2$ . We can know his height using the first formula : $h=40\sqrt{(.45w)/(M)}=40\sqrt{(.45*211)/(28.5)}\approx73.01$

Hence he must lose $(73.01)^2*.005\approx26.6$ -> 27 pounds.

We check our result : $720*(211-27)/(73.01^2)\approx24.85<24.9$

To answer the first problem you are going to need to solve the equation for M (BMI). In order to do this you need to rearrange the variables h and w to one side of the equation, and M by itself on the other side. After doing this your equation should look like:
M = (0.45*w) / ((h / 40)^2)

For part 2 we must first solve for Chris' height so that we can find his healthy range. You should use the original equation for this. You should get 73.0105 inches as an answer. Now we must solve for his weight using 24.9 as the upper limit of the healthy BMI range as well as his height. You need a new formula solving for w. I am not going to put this formula here but I will just solve for W.
His healthy weight in pounds turns out to be 184.348 pounds. In order to get into this range, he must lose 211 - 184.348 = 26.6524 pounds. Since it asks how many whole pounds he must lose you should put 27 pounds as your answer.
Hope this helped!

Caridad borrowed $15,500 at 11% ordinary interest for 120 days. After 70 days, she made a partial payment of $3,000. What is the final amount due on the loan? (Round to the nearest cent)

Answers

15 500 at 11% ordinary interest for 120 days.
=> 120 days = approximately 4 months.
=> 15 500 * .11 = 1705 dollars interest
=> 15 500 + 1750 = 17 205 dollars
=> 17 205 dollars - 3000 dollars after 70 days = 14 205 dollars is the amount due

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