Compared to last year, the population has increased 25%. The population is now 6,600. What was the population last year?

What number of population do I put for each for percentage?

Answer:

(x - 4)² - 9 = 0

Step-by-step explanation:

x² - 8x + 7 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 8x

x² + 2(- 4)x + 16 - 16 + 7 = 0

(x - 4)² - 9 = 0

Answer:

__

0.45

__

__ means it's on-going, so 0.45454545

Answer:

$16.48

Step-by-step explanation:

Split this up into the four years.

For the first year, multiply 200 x .02 to get 4

Add 4 onto your total. ($204.00)

For the second year multiply 204 x .02 to get 4.08

Add 4.08 onto your total. ($208.08)

For the third year multiply 208.08 x .02 to get 4.1616 but round to 4.16

Add 4.16 onto your total ($212.24)

For the fourth year multiply 212.24 x .02 to get 4.2448 but round to 4.24

Add 4.24 onto your total (216.48)

Now subtract 200 from your total

216.48-200 = 16.48

She will be payed $16.48 in interest.

Hello! :)

I will start by explaining what the l l notation means.

It means "absolute value" or a number's distance from zero.

Absolute value is always positive. Remember this:

lal=a

l-al=a

Now, using this, let's solve our math problem.

l-2.9l>2.6

2.9>2.6

Is this statement true? Is 2.9 greater than 2.6? Yes, it is. Therefore, the statement is true.

Hope it helps.

Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

Answer:

True

Step-by-step explanation:

The absolute value of -2.9 is 2.9.

So 2.9>2.6

Remember, the absolute value of a number is always nonnegative (positive or zero). If a number is negative, negating that number will make it positive.

[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]

Answer:

Slope= -4

Step-by-step explanation:

Slope is rise over run (y over x)

So, looking at the table, you can see that every time the y values went down by 8, the x values went up by 2.

So, the slope can be written as:

-8/2

Simplified to -4/1 or just -4

Answer:

([tex]\frac{49}{29},\frac{19}{29}[/tex])

Explanation:

7x - 15y = 2  (1)

x + 2y = 3 (2)

x + 2y = 3

x + 2y - 2y = 3 - 2y

x = 3 - 2y  (3)

Substitute (3) to (1)

7x - 15y = 2

7(3 - 2y) - 15y = 2

21 - 14y -15y = 2

21 - 21 - 29y = 2 - 21

-29y = -19

y = [tex]\frac{19}{29}[/tex]  (4)

Plug (4) into (2)

x + 2y = 3

x + 2[tex]\frac{19}{29}[/tex] = 3

x + [tex]\frac{38}{29}[/tex] = 3

x = 3 - [tex]\frac{38}{29}[/tex]

[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]

([tex]\frac{49}{29},\frac{19}{29}[/tex])

Answer:

(1/2) and 9/10

Step-by-step explanation:

[tex]\dfrac{1}{2}+\dfrac{9}{10}=\dfrac{1*5}{2*5}+\dfrac{9}{10}\\\\\\=\dfrac{5}{10}+\dfrac{9}{10}\\\\=\dfrac{14}{10}\\\\=\dfrac{7}{5}\\\\=1\dfrac{2}{5}[/tex]

Answer:

5 people - Tip  per person  = $0.90  

Total  per person =  $5.39

10 people - Tip  per person  = Tip  per person  $0.45

Total  per person =  $2.70

Answer: the answer is $4.49 because if your bill is 22.41 and you divide that by 20 its 4.482 so then you add the 2 to the 8 which is 9 so 4.49

Shown & Given:

The dartboard holds 5 in the maximum space.

Known:

Out of 100, it is know that they will hit 5 more than 50 times.

Possible Answers:

55, 66, or 77.

The most likely one is:

66

Answer:

840 Ounces

Step-by-step explanation:

4 weeks has 28 days. { 4 * 7 = 28 }

because an infant eats about 30 ounces of milk per day.

So 30 * 28 = 840 ounces

The baby drank about 840 ounces in 4 weeks.

The number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.

Given that, an infant drinks about 30 ounces of milk per day.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Here, number of days in 4 weeks = 4×7

= 28 days

Number of ounces of milk drank by infant

= 28×30

= 840 ounces

We know that, 32 ounces = 1 quarts

So, 840 ounces = 840/32

= 26.25 quarts

Therefore, the number of quarts of milk drank by baby in 4 weeks is 26.25 quarts.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ2

Answer:

D+M=132?

Sorry if this is not helpful. I tried my best

Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques

Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

What is confidence interval?

Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.

We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.

Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

To learn more about Confidence intervals and hypothesis tests click :

https://brainly.com/question/19755291

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Answer:

The answer is 2.70

Step-by-step explanation:

18+2.70= 20.70

20.70-2.70=18

Answer: The slope is 2

Step-by-step explanation:

The slope is the Rise (the change in y) over the Run (the change in x).

We can calculate the Rise and Run from the two given points:

(0.3) and (5,13)

Rise = (13 - 3) = 10

Run =  (5 - 0) = 5

Rise/Run = 10/5 = 2:  the slope is 2.

The equation for this line is y = 2x + b.  The y-intercept, b [from the general form y=mx+b (where m is the slope)]  is the value of y when x=0.  The point (0,3) says y=3 when x=0, so b = 3.

y = 2x + 3.

Answer:

-1 = -1

Step-by-step explanation:

y = mx + b

y=-3  x=0 and m=2/5

-3 = (2/5)0 + b

Since 2/5(0) is 0, b must be -3.

So the equation is y = (2/5)x - 3

Add the slope to the given point and you get (5, -1)

-1 = (2/5) 5 - 3

-1 = 2 - 3

-1 = -1

Pauline needs to work for 75 hours to make $600

Given that Pauline worked 35 hours and made $280, this can be written as:

35 hours = $280

If Pauline’s company makes $600 a week, this can be expressed as:

x = $600

35/x = 280/600

35/x = 28/60

28x = 35 * 60

28x = 2100

x = 2100/28

x = 75

This means that Pauline needs to work for 75 hours to make $600

Learn more here: https://brainly.com/question/3796978

Answer:

Step-by-step explanation:

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.

Answer:

Step-by-step explanation:

Step-by-step explanation:

(a) 0. no displacement.

(b) rectangle perimeter :

2×length + 2×width = 2×2 + 2×0.5 = 4 + 1 = 5 m

The questions are not readable. try uploading a better picture.

Answer:

let the number be x

wo a/q we have,

4x + 5 = 7

hope this answer helps you dear! take care

Answer:

The answer for this particular question is (5,-8)

Answer:

a) 3

Step-by-step explanation:

that's the correct answer

Answer:

[tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Functions

Calculus

Differentiation

Derivative Rule [Product Rule]:                                                                             [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle y = \csc (x) \cot (x)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

16.95

Step-by-step explanation:

because when you add 14.95 and 2 together you get 16.95

Answer:

Step-by-step explanation:

Area of  Big circle = πr² = 3.14 * 6.5*6.5  = 132.67 cm²

Area of small circle = 3.14 * 2.3*2.3 = 16.61 cm²

Area of shaded region = area of big circle - area of small circle

         = 132.67 - 16.61  = 116.06 cm²

Answer:

30.55 <_ a < 30.55

Step-by-step explanation:

a = 1/2 × b × h

a = 1/2 × 13 × 4.7

a = 30.55 cm^2

30.55 <_ a < 30.55