Write an exponential function to model the following situation
A population of 140,000 grows 4% per year for 16 years .
How much will the population be after 16 years?

Answer:

4 is the closest meter you can round to. So your answer would be 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

since 2<5, 4.237 ≈ 4

A) 1st Row = 31 seats

    2nd row = 37 seats

     3rd row = 37+6 = 43 seats

     4th row = 43+6 = 49 seats

      5th row = 49+6 = 55 seats

B) The formula for finding the number of seats in any row number is:

Number of seats in nth row = 31 + (n-1) *6

C)  To find the row with 103 seats,  set the equation in B to equal 103 and solve for n:

103 = 31 + (n-1)*6

Subtract 31 from each side:

72 = (n-1)*6

Divide both sides by 6:

12 = n-1

add 1 to each side:

n = 13

The 13th row has 103 seats.

Answer:

0 is your answer

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Remember to follow PEMDAS.

First, distribute -5 to all terms within the parenthesis

-5(1 + 6n) = (-5)(1) + (-5)(6n) = -5 - 30n

-30n - 5 = 5n - 5

Isolate the variable, n. Subtract 5n and add 5 to both sides

-30n (-5n) - 5 (+5) = 5n (-5n) - 5 (+5)

-30n - 5n = -5 + 5

-35n = 0

Isolate the n, Divide -35 from both sides

(-35n)/-35 = (0)/-35

n = 0

0 is your answer

~

Answer:

True

Step-by-step explanation:

Given: QRS is an isosceles triangle that is QS=SR and M is the mid point of QR.

To prove: ΔSQM≅ΔSRM

Proof: It is given that  QRS is an isosceles triangle that is QS=SR and M is the mid point of QR, thus from ΔSQM and ΔSRM, we have

QS=SR (Given)

QM=MR (Mid point)

SM=MS (Reflexive)

Thus, by SSS rule of congruence,

ΔSQM≅ΔSRM

Hence the given statement is true, that is if M is teh point of RQ, then ΔSQM≅ΔSRM.

Hence proved.

Answer:

The answer is the third choice 3

Step-by-step explanation:

First you undo by doing the opposite 31 - 7 = 24 now we undo the 8 by undoing 24 divided by 8 is 3

Question

What is the value of n in the equation 8n + 7 =31

Answer:

Step-by-step explanation:

8n + 7 = 31

8n = 31 - 7

8n = 24

n = 24 : 8

n = 3

--------------------

check

8 * 3 + 7 = 31

24 + 7 = 31

31 = 31

The answer is good

Answer:

22

Step-by-step explanation

that is how many times .25 goes into 5.5

Question

5.5 ÷ .25 and plz show work

Answer:

22

Step-by-step explanation:

5.5 : 0.25 =

55 : 2.5 =

550 : 25 =

22

Answer:

B.   9/26.

Step-by-step explanation:

You need to change the coefficient of x in the first equation to 9/13 so that adding the 2 equations would eliminate x.

So you would multiply by  

= 9/13 / 2

= 9/13 * 1/2

= 9/26 (answer)

Answer:

The correct option is B) [tex]\frac{9}{26}[/tex]

Step-by-step explanation:

Consider the provided equations:

[tex]2x+\frac{4}{3}y=1[/tex] and [tex]y-\frac{9}{13}x=9[/tex]

The above equation can be written as:

[tex]2x+\frac{4}{3}y=1[/tex] and [tex]-\frac{9}{13}x+y=9[/tex]

As it is given that we need to eliminate the variable x.

Multiplying the equation [tex]2x+\frac{4}{3}y=1[/tex] with [tex]\frac{9}{26}[/tex].

Therefore,

[tex]\frac{9}{26}2x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}[/tex]

[tex]\frac{9}{13}x+\frac{9}{26}\times{\frac{4}{3}y}=1\times{\frac{9}{26}}[/tex]

Therefore, the correct option is B) [tex]\frac{9}{26}[/tex]

Answer:

31.6%

Step-by-step explanation:

it is given that

Area of Department X = 8,000  square feet

Area of Department Y = 5,000 square feet

Area of Department Z = 6,000 square feet

now the total area = [tex]8000+5000+6000[/tex]

                               =[tex]19,000[/tex] square feet

Percentage of area covered by Department Z = [tex]\frac{area of Department Z}{total area }100[/tex]%

                                               =[tex]\frac{6000}{19000} 100[/tex] %

                                                 =[tex]31.6[/tex] %

percentage of overhead expenses applied to Department Z = percentage of area covered by Department Z

hence we have,

percentage of overhead expenses applied to Department Z  = 31.6%

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\underline{c}cost directly proportional to \underline{p}izzas}}{c=kp} \\\\\\ \textit{we know that } \begin{cases} p=2\\ c=25 \end{cases}\implies 25=k(2)\implies \cfrac{25}{2}=k\implies 12\frac{1}{2}=k[/tex]

Answer:

Number 5: Answer B

Number 6: Answer B

Step-by-step explanation:

5) The percent of decrease from 57 to 19 is:B. 66.7%

6) The percent of markup is: D. 35%

6) To find the percent of decrease from 57 to 19, we can use the formula:

percent decrease = (original value - new value) / original value x 100%

Substituting the given values, we get:

percent decrease = (57 - 19) / 57 x 100%

percent decrease = 38 / 57 x 100%

percent decrease = 0.6667 x 100%

percent decrease = 66.7%

Therefore, the percent of decrease from 57 to 19 is 66.7%. The answer is option B.

6) To find the percent of markup, we can use the formula:

percent markup = (selling price - cost) / cost x 100%

Substituting the given values, we get:

percent markup = (184.70 - 136.50) / 136.50 x 100%

percent markup = 48.20 / 136.50 x 100%

percent markup = 0.353 x 100%

percent markup = 35.3%

Therefore, the percent of markup is 35%. The answer is option D.

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Answer:

I am pretty sure it is all but trapezoid.

Step-by-step explanation:

Answer:

B. Trapezoid

Step-by-step explanation:

We have been given image of a quadrilateral. We are asked to classify our given quadrilateral.

Let us check our given choices one by one.

A. Parallelogram.

We can see that our given quadrilateral is square as its all sides are equal and perpendicular to each other.

Since sides of square are parallel to each other and opposite sides has equal measure, therefore, it is a parallelogram.

B. Trapezoid

We know that a trapezoid has one pair of parallel sides.

Since square has two pair of parallel sides, therefore, our given quadrilateral is not a trapezoid.

C. Rhombus

We know that each square is a rhombus, therefore, our given quadrilateral is a rhombus as well.

D. Square.

Our given quadrilateral is square as its all sides are equal and perpendicular to each other. Therefore, option D is correct as well.

Answer: 6x7=n

Step-by-step explanation:

Answer:

A jeweler orders necklaces from a website that offers $6 shipping for any-size order. Each necklace costs $7. The jeweler wants to know the total cost of ordering n necklaces.

What is the independent (input) variable?

✔ n, the number of necklaces

What is the dependent (output) variable?

✔ c, the total cost (in dollars)

What is the domain?  

✔ n=0, 1, 2, 3,...

Which equation expresses the order’s total cost, c, as a function of the number of necklaces, n?

✔ c(n)=7n + 6

Which expression means “the total cost, including shipping, of 5 necklaces”?

✔ c(5)

Step-by-step explanation:

Answer:

-6 < x < -4

Step-by-step explanation:

8 < 4 - x < 10

Split this up into 2 inequalities:

4 - x > 8

-x > 8 - 4

-x > 4     Divide both sides by -1

x < -4    (Note that  sign flips when dividing by a negative).

Also 4 - x < 10

-x < 6

x >  -6

So the solution is  -6 < x < -4

I think it would be x+y=3

Hope this helps

Answer: Crystal earns $18.98 working 3 hours and 45 minutes.

Step-by-step explanation: Since m is the amount of money earned and we are trying to find how much money Crystal earned in h hours, the function will be set up as m = 5.50(h). If Crystal works 3.45 hours, we can plug this number into h: m = 5.50(3.45), which gives us $18.975. Rounded to the nearest cent, the answer would be $18.98 because 5 rounds 7 up.

Answer:

welp i got -891k - 357 but that seems really big

Step-by-step explanation:

i distributed the 5 to the -3.4k and the -7 and got -17k-35. then i foiled that out with the 3k+21 and got -51k -357 - 105k -735k. then i combined like terms and got -891k -357

hope this helps rip sorry

Answer:

Product of powers; power of a power; negative exponent

Step-by-step explanation:

Answer:

1. C

2. D

3. A

4. [tex]\frac{-1}{27a^{3}b^{6}}[/tex]

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.

We will use these rules to simplify.

1. [tex](-3)^{-4} = -3*-3*-3*-3=\frac{1}{81}[/tex] Choice C.

2. [tex](-7.4)^{0}=1[/tex] Choice D.

3.[tex]-(5)^{-1}=\frac{-1}{5}[/tex] Choice A.

4. [tex]-(3ab^{2})^{-3} =-(\frac{1}{3ab^{2}*3ab^{2}*3ab^{2}})=\frac{-1}{27a^{3}b^{6}}[/tex]

Answer: The pre-tax price of the shirt for Macy will be $5.63

Step-by-step explanation:

Given:

Original price = 20

reduces selling price by 25% every month it's not sold.

First markdown month:

20 * (100%-25%) = 20 * 75% = 15

Second markdown month

15 * 75% = 11.25

Macy, employee gets a 50% discount off the current price.

11.25 * 50% = 5.625

11.25 - 5.625 = 5.625 or 5.63

hope it helps! :)

Answer:

teacher's response

Step-by-step explanation:

Macy was calculating the employee price off the original amount each time instead of off the new selling price each month. Macy cannot add up all the discounts; she must apply them one by one.

Answer:

The coordinate of pre-image is, B(3 , -9).

Step-by-step explanation:

Given an image point has coordinate B'(7, -4).

We have to find the coordinates of its pre-image:

The rule of translation on pre-image (x, y) is given by;

[tex]B(x, y) \rightarrow B'(x + 4, y + 5)[/tex]

then;

(7, -4) = (x+4, y+5)

on comparison we have;

x+4 = 7 and y + 5 = -4

First solve for x;

[tex]x + 4 = 7[/tex]

Subtract 4 from both sides we have;

x + 4 -4 =7-4

Simplify:

x = 3

To solve for y;

y+5 = -4

Subtract 5 from both sides we get;

y = -9

Therefore, the coordinate of pre-image is, B(3, -9)

Answer:

The coordinate of pre-image is, B(3 , -9).

Step-by-step explanation:

Given an image point has coordinate B'(7, -4).

We have to find the coordinates of its pre-image:

The rule of translation on pre-image (x, y) is given by;

then;

(7, -4) = (x+4, y+5)

on comparison we have;

x+4 = 7 and y + 5 = -4

First solve for x;

Subtract 4 from both sides we have;

x + 4 -4 =7-4

Simplify:

x = 3

To solve for y;

y+5 = -4

Subtract 5 from both sides we get;

y = -9

Therefore, the coordinate of pre-image is, B(3, -9)

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Step-by-step explanation:

Answer:

2 feet or 24 inch.

Step-by-step explanation:

Answer:

using hunreds 300

using tens 20

using ones 6

300+20+6= 326

Step-by-step explanation:

All you got to do is break them apart into the places.

Plzzz mark brainlest and thank me

Answer:

3/14

Step-by-step explanation:

We want to find the ratio of a to b, or a/b

9/17 = 3a/ (a+b)

Multiply each side by 17

17*9/17 =17* 3a/ (a+b)

9 = 51 a/ (a+b)

Multiply each side by (a+b)

9 (a+b) = 51a

Distribute  the 9

9a +9b = 51a

Subtract 9a from each side

9a-9a +9b =51a-9a

9b = 42a

Divide each side by b

9b/b = 42a/b

9 = 42a/b

Divide each side by 42

9/42 = a/b

But we can simplify 9/42 because each is divisible by 3, so divide 9 and 42 by 3

3/14 = a/b

The angle of elevation of the sun can be determined using trigonometry by finding the inverse tangent of the ratio of the building height to the shadow length, which is approximately 33.69 degrees.

To find this, we can use trigonometry, specifically the tangent function, which is the ratio of the opposite side over the adjacent side in a right-angled triangle. Here, the building height represents the opposite side, and the shadow length represents the adjacent side.

Using the formula tangent = opposite/adjacent, we have:

Now, we need to find the angle whose tangent is 2/3. By using a calculator or a trigonometry table, we find:

Therefore, the angle of elevation of the sun is approximately 33.69 degrees.

Answer:

1,400,000,000

Step-by-step explanation:

Since there are 7 billion people on the earth, you must divide 7,000,000,000 by 5 and you arrive at the answer of 1,400,000,000.

Hope that helps!

The result is that approximately 1.4 billion people are using social networks.

If 1 out of 5 people in the world are logging onto a social network, and the world population is 7 billion, we can calculate the number of people logging in by dividing the total population by 5.

So, the number of people logging in is:

[tex]\frac{\text{7 billion}}{5} = 1.4\text{ billion}[/tex]

So, approximately 1.4 billion people are logging into social networks, according to the headline.

Answer:

true

Step-by-step explanation:

The height of the student increased by 25 percent from 48 inches in 5th grade to 60 inches in 8th grade.

The student's height increased from 48 inches to 60 inches. To find the percent increase, we use the formula:

Percent Increase = ((New Height - Original Height) / Original Height) x 100%

Substituting the given values, we get:

Percent Increase = ((60 - 48) / 48) x 100%

Percent Increase = (12 / 48) x 100%

Percent Increase = 0.25 x 100%

Percent Increase = 25%

Therefore, the height of the student increased by 25 percent from 5th grade to 8th grade.

The student's height increased by 25% from 5th grade to 8th grade.

The percent increase in the student's height from 5th grade to 8th grade is calculated as follows:

First, determine the initial height in 5th grade, which is given as 48 inches.

Next, determine the final height in 8th grade, which is given as 60 inches.

The increase in height is the final height minus the initial height:

[tex]\[ \text{Increase in height} = \text{Final height} - \text{Initial height} \] \[ \text{Increase in height} = 60 - 48 \] \[ \text{Increase in height} = 12 \text{ inches} \][/tex]

To find the percent increase, divide the increase in height by the initial height and then multiply by 100:

[tex]\[ \text{Percent increase} = \left( \frac{\text{Increase in height}}{\text{Initial height}} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{12}{48} \right) \times 100 \] \[ \text{Percent increase} = \left( \frac{1}{4} \right) \times 100 \] \[ \text{Percent increase} = 0.25 \times 100 \] \[ \text{Percent increase} = 25\% \][/tex]

The correct option is [tex]\boxed{25\%}[/tex].