In 2012, the population of a city was 5.94 million. The exponential growth rate was 3.77% per year.
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) When will the population of the city be 9 million?
d) Find the doubling time.

Answer:

x-25y-50

Step-by-step explanation:

simplifying an expression means getting rid of the parantheses and writing it in the simplest form

5(\(\frac{1}{5} x-5y-10)\)=

\(5*\frac{1}{5} x-5*5y-10*5\\x-25y-50\)

Answer:

\(x-25y-50\)

Step-by-step explanation:

\(5\left(\frac{1}{5}x-5y-10\right)\)

\(5\cdot \frac{1}{5}x-5\cdot \:5y-5\cdot \:10\) .......multiply 5 with everything inside the bracket

\(x-25y-50\)     ...........final answer.

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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The perimeter of the figure with side length of 5 units is 50 units

From the question, we have the following parameters that can be used in our computation:

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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Answer:

a)  \(Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}\)

b)  \(n=24\)

Step-by-step explanation:

From the question we are told that:

Rate r=90 units per hour

Setup cost =20

Operating Cost =26

Units=40000

Generally the equation for Total cost is mathematically given by

\(Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}\)

\(T_n=20n+\frac{11556}{n}\\\\T_n=\frac{20n^2+11556}{n}.....equ 1\)

Differentiating

\(T_n'=\frac{n(40n)-(40n^2+11556)}{n_2}\\\\T_n'=\frac{20n^2-11556}{n^2}.....equ 2\)

Equating equ 1 to zero

\(0=\frac{20n^2+11556}{n}\)

\(n=24\)

Therefore

Substituting n

For Equ 1

\(T_n=\frac{20(24)^2+11556}{24}\)

F(n)>0  

For Equ 2

\(T_n'=\frac{20(24)^2-11556}{24^2}\)

F(n)'<0

Answer:

The slope of AB is

different than the

slope of BC.

Step-by-step explanation:

Angle BAP is equal to angle CPD, so the value of arc BC must be equal to arc CD.

To prove that arc angle BC to be equal to arc angle CD we will use the following steps;

Let's label angle BAP = x

Let's label angle CPD = y

Since line AB is parallel to line PC, we can conclude the following;

∠ x = ∠ y ( corresponding angles of intersected parallel lines)

arc BC = ∠ x ( intersecting chord angle at center)

arc CD = ∠ y   ∠ x ( intersecting chord angle at center)

Since ∠ x = ∠ y, then arc BC must be equal to arc CD. Hence proved.

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Answer:

The answer is B- X= 31/25

Answer:

x = 31/25

Step-by-step explanation:

Answer:

I think 7.6 i remember i had something like this  

Step-by-step explanation:

9514 1404 393

Answer:

  B (rate of change), D (y-intercept)

Step-by-step explanation:

a) The rate of change is found by solving for y. It is the x-coefficient:

  4y = -x +12

  y = -1/4x +3 . . . . divide by 4

The rate of change is -1/4.

__

b) The rate of change can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (10 -4)/(2 -(-2)) = 6/4 = 3/2

The rate of change is 3/2.

__

c) The rate of change can be found by counting grid squares. The line goes down 1 square for each square to the right. The rate of change is ...

  m = rise/run = -1/1 = -1

The rate of change is -1.

__

d) The rate of change is 0.5, the amount paid per box.

__

Of the rates -1/4, 3/2, -1, 0.5, the largest rate of change is 3/2 in relationship B.

_____

a) The y-intercept is the constant in the slope-intercept form equation: +3.

__

b) The y-intercept can be found from the point-slope form equation using the slope we found.

  y -4 = 3/2(x +2)

  y = 3/2x +3 +4

  y = 3/2x + 7

The y-intercept is 7.

__

c) The y-intercept is 4, where the line crosses the y-axis.

__

d) The y-intercept of a proportion is 0.

__

Of the y-intercepts 3, 7, 4, 0, the least y-intercept is 0, in relationship D.

Answer:

169.28

Step-by-step explanation:

18.4x9.2=169.28

Answer:

We need 108 cubes to fill the rectangular prism

Step-by-step explanation:

We are given the dimensions of a cube with an edge length of 1/3 inch.

A rectangular prism is to be filled out with those cubes. The dimensions of the prism are 3 inches x 1 inch x 1 1/3 inches.

The fraction 1 1/3 is expressed as:

\(1\frac{1}{3}=1+\frac{1}{3}=\frac{4}{3}\)

We need to know how many cubes fit in each dimension. It can be found by dividing them by their edge length:

\(\displaystyle \frac{3}{\frac{1}{3}}=3*3 =9\)

\(\displaystyle \frac{1}{\frac{1}{3}}=1*3 =3\)

\(\displaystyle \frac{\frac{4}{3}}{\frac{1}{3}}=\frac{4}{3}*3=4\)

Now we multiply the number of cube per dimension:

9*3*4=108

We need 108 cubes to fill the rectangular prism

The two values with the same value as 18 ones and 302 thousandths, given their place values, are:

Place value describes the position or place of a digit in a number, which determines its numerical value.

Place values form the basis of the number system because the position occupied by a digit in a number shows its value.

The place values on the left of the decimal point include Billions, Hundred Millions, Ten Millions, Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, and Ones.

After the decimal point, on the right, the place values include tenths, hundredths, and thousandths.

18 ones and 302 thousandths

= 1 ten + 8 ones + 3 tenths + 2 thousands

= (1 x 10) + (8 x 1) + (3 x 1/10) + (2 x 1/1,000)

Thus, 18 ones and 302 thousandths share the same place values as Options B and D.

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The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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Step-by-step explanation:

t^3

Hope this helps :)

Good luck

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

The ranking from the lowest to highest APR for the given companies is A, B, D, C.

The correct option is b.

To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).

Let's calculate the APR for each company:

For Company A:

APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%

For Company B:

APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%

For Company C:

APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%

For Company D:

APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%

Now, we can rank the companies from the lowest to highest APR:

Company A - APR: 2.028%

Company B - APR: 4.054%

Company D - APR: 4.79%

Company C - APR: 5.475%

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Answer:A) 24 waysB) 4 waysStep-by-step explanation:a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways

Step-by-step explanation:

a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways(hope this helps:)

Answer:

\(\rm {6a}^{3} b - 12 {a}^{4} b + 15 {a}^{3} {b}^{2} - {3a}^{2} {b}^{2} \: by \: {3a}^{2} b\)

\( \rm\displaystyle\frac{6 \times a \times a \times a \times b}{3 \times a \times a \times b} - \frac{12 \times a \times a \times a \times a \times b}{3 \times a \times a \times b} + \frac{15 \times a \times a \times a \times b \times b}{3 \times a \times a \times b} -\frac{3×a×a×b×b}{3×a×a×b}\)

\( \rm\displaystyle\frac{ \cancel6 {}^{2} \times \cancel a \times \cancel a \times a \times \cancel b}{ \cancel3 \times \cancel a \times \cancel a \times \cancel b} - \frac{ \cancel{12 }^4\times \cancel a \times \cancel a \times a \times a \times \cancel b}{ \cancel3 \times \cancel a \times \cancel{a }\times \cancel{b}} + \frac{ \cancel{15 }{}^{3} \times \cancel a \times \cancel a \times a \times \cancel b \times b}{ \cancel3 \times \cancel{a} \times \cancel a \times \cancel b}-\frac{\cancel{3}×\cancel{a}×\cancel{a}×\cancel{b}×b}{\cancel3×\cancel{a}×\cancel{a}×\cancel{b}} \)

\(\rm2 \times a - 4 \times a \times a \: +3 \times a \times \: b-b\)

\(\rm2a - 12a^3b-b\)

Answer:

x and y are not in a proportional relationship

Step-by-step explanation:

x and y can be said to be in a proportional relationship, if the ratio of each given pair of values (y/x) on the table are equal. The ratio would represent the constant of proportionality.

Let's find out:

(3, 7) = y/x = 7/3 = 2.33

(6, 13) = y/x = 13/6 = 2.17

(9, 19) = y/x = 19/9 = 2.11

(12, 25) = y/x = 25/12 = 2.08

The ratio of each given pair of values are not the same. Therefore, x and y are not in a proportional relationship.

Step-by-step explanation:the formula for solving time is 100 * 40 naira / / 200 * 15

Answer:

$182.25

Step-by-step explanation:

You just times the per hour to the amount of hours. Hope this helps

Answer:

14x+14

Step-by-step explanation:

9x+5+5x+9

=9x+5+5x+9

=(9x+5x)+(5+9)

=14x+14

Answer:

The expression T = 15*3 + 32  could be used to correctly calculate the amount Roberta owes Mr. Jones

Step-by-step explanation:

Given that:

Amount charged for parts = $32

Per hour labor = $15

Time spent on repairing = 3 hours

Total amount = Per hour labor * Number of hours + Amount of parts

T = 15*3 + 32

Hence,

The expression T = 15*3 + 32  could be used to correctly calculate the amount Roberta owes Mr. Jones

Answered que aca ases copiando Jsjs NO ERES EL UNICO COPION the daria la respuesta pero no me la set ni yo

Step-by-step explanation:

Answer:

15g + 10s= 4170

g + s = 360

15g + 10s = 4170

-10g - 10s = -3600

5g = 570

g = 114 general tickets

114 + s= 360

s = 246 student tickets

Step-by-step explanation:

Answer:

the answer the other person put is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Its 4.51

Answer:

0.053

Step-by-step explanation:

the probability of taking a Boston creme first is 6/19 (19 is the total doughnuts in the box), then the probability of taking a chocolate glazed second would be 3/18 (bc there would be 18 left after taking one first). then multiply these fractions together. as a decimal you get 0.053 to 3 decimal places

Using probability we know that the value of m+n = 11.

The area of mathematics known as probability works with numerical representations of the probability that an event will occur or that a statement is true.

A game's probability is a number ranging from zero and 1, where, roughly speaking, 0 denotes the game's impossibility and 1 denotes certainty.

So, we know that:

5 tails = 1/25 times the probability of occurrence of five heads and three tails.

p = m/n

The value of m+n will be:

p + q = 1

We have, ⁸C₃p³(1-p)⁵ = 1/25⁸C₅p⁵(1-p)³

25(1-p)² = p²

p/1-p = ±5

p = 5/6, 5/4

p = 5/6 = m/n

(P<1)

m+n = 11

Therefore, using probability we know that the value of m+n = 11.

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Answer:

area of the rectangle =

\( {93.75cm}^{2} \)

Step-by-step explanation:

width = x cm

length = x + 5 cm

Perimeter = 2(length + width)

\(p = 2(x + (x + 5)) \\ 40 = 2(x + x + 5) \\ 40 = 2(2x + 5) \\ 40 = 4x + 10 \\ 40 - 10 = 4x \\ 30 = 4x \\ \frac{30}{4} = x \\ 7.5 = x\)

width = 7.5cm

length = 7.5 + 5 = 12.5cm

Area of the rectangle = length × width

\(a = 12.5cm \times 7.5 cm\\ a = 93.75 {cm}^{2} \)

Answer:

11. \(57^{6/8}\)

12. \(Y^{14/2}\)

13. \(m^{\frac{o+p}{n}}\)

14. \(81^{\frac{3}{50+x}}\)

15. \(5^{2/3}\)

Step-by-step explanation:

When converting from radicals to rational exponents, there's a quick, easy rule to remember:

The "power" represents the exponent of the radical/radicand, while the "root" represents the index.

11. the eight root of fifty-seven to the sixth degree.

12. the square root of Y to the fourteenth power.

13. the nth root of m to the o plus p degree.

14. The fifth root plus x of eighty-one to the third power.

15. The cube root of five squared.

Answer:

Step-by-step explanation:

The amplitude is the difference between the peak value (3.8) and the midline (-3.8). You find it by subtracting the midline from the peak:

  amplitude = 3.8 -(-3.8)

  amplitude = 7.6