Create a problem for the equation 4n + 7 = 55. Show how you know it is correct.

Answer:

(a) The population in the year 2033 is 18630.

(b) After nearly 36years from the starting population of 11500 we will get our population tripled.

Step-by-step explanation:

In 2017, the population of a city is 11500, and is increasing exponentially at a rate of 3.1% per year

This can be formulated with the compound interest formula, also we can think the given situation as we have 11500 rupees which increases at the rate of 3.1% per year.

we can formulate the given situation using the compound interest formula.

A = P(1 + [tex]\frac{r}{n}[/tex])^n*t

A is the final population

P is the initial population = 11500

r is the rate at which the population increases = 3.1A =% = 0.031

n denotes the number of times the population increases per year = 1

t is the time or year = 1

A = [tex]11500( 1 + 0.031)[/tex]^1*t

(a) The number of years to reach the year 2033 from 2017 is 16years.

so we have the value of t = 16

 so the final population in the year 2033 will be

A = 11500(1+0.031)^1*16

   = 11500(1.031)^16

   = 11500*1.63

A = 18630

Therefore the population size in the year 2033 will be 18630.

(b) We need to find the year in which the population gets tripled. we will triple our population from the population which was in 2017

 so the our equation will be

 11500*3 = 11500(1+0.031)^1*t

  3 = (1.031)^t

upon taking logarithm both sides we get

log(3) = t*log(1.031)    ( using the property log(a^b) = blog(a)

0.477 = t*0.133

t = 0.477/0.0133

t = 35.86years

upon taking approximation we will get 36 years.

Therefore after nearly 36years from the starting population of 11500 we will get our population tripled.

Answer:

Step-by-step explanation:

pounds / dollars =

You have to answer 2 questions.

1. Which axis are you reading first. Hint the question says pounds to dollars.

So you must be reading the x axis first. because it is pounds.

2. Where would the next point on the graph go.

You read along the x axis first. 25

then you read along the y axis. 20

The answer is 25,20 and that's where the next point goes.

Answer:

first is a function second third ad fourth arent function

Step-by-step explanation:

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The collection of values that could result in a function's outputs is known as the co-domain.

Given:

As, we know the relation is said to be a function if we have distinct inputs.

If the inputs are repeated then it is not a function.

So, {(3, 2),(6, 4),(9, 6),(12, 8)} is a function.

Also, {(2, 3),(2, 5),(3, 6),(9, 4)} is not a function.

{(2, 4),(6, 3),(4, 8),(6, 6)} is not a function.

{(3, 4),(5, 2),(6, 8),(6, 4)} is not a function.

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Answer:

-4

Step-by-step explanation:

Answer:

0^4

Step-by-step explanation:

lets say the number is 1.0 if you where to move the decimal to the right 4 place the number would then be 10,000.0. basically if it says 10^4 add 4 0's

Answer:

it is  10^4

Step-by-step explanation:

Answer:

The LCD is 36.

Step-by-step explanation:

3/4 = 3/4 × 9/9 = 27/36

7/9 = 7/9 × 4/4 = 28/36

Answer:

All of the statements are true

Step-by-step explanation:

Given that :

Number of trials (n) = 100

Expected number of successes = 55

The number of successes of the 100 trials :

Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55

Using Normal approximation :

Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45

σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975

The probability distribution of x = B(n, p) = x = B(100, 0.55)

Using approximation ; N(p, σ) = N(55, 4.97)

Hence, All of the statements are true

Answer:

20g + 25h ≥ 4200

Step-by-step explanation:

Miranda needs nothing less than $4200 to but a car

Answer:

45%

Step-by-step explanation:

90/200 = 0.45

0.45 = 45%

noob

Answer:

5 is the correct answer.............

Answer:

I think it might be y= x+2

Step-by-step explanation: because it is going up times 2 every time

OWO

Answer:

7 × 10²

Step-by-step explanation:

→ The first digit has to be above 1 and below 10

Answer:

a=9

Step-by-step explanation:

2/3 (a-18)=-6

a−18=−6×( 3/2)

a−18=−6×3/2

a−18= −18/2

a−18=−9

a=−9+18  

a=9

​

Answer:

A=9

Step-by-step explanation:

Simplify both sides of the equation.

2/3(a−18)=−6

(2/3)(a)+(2/3)(−18)=−6(Distribute)

2/3a+-12=-6

2/3a-12=-6

Add 12 to both sides.

2/3a−12+12=−6+12

2/3a=6

Multiply both sides by 3/2

(3/2)* (2/3a)= (3/2)* (6)

A=9

Answer:

The missing value y=12.5 and we have (5,12.5)

Step-by-step explanation:

The formula used for direct variation is:

[tex]y\: \alpha \:x\\y=kx[/tex]

We need to find missing value (2,5)(5,y)

First we will find k, and then y

We have x=2, y=5

Find k:

[tex]y=kx\\5=k(2)\\k=\frac{5}{2}\\k=2.5[/tex]

Now, we cam find missing value in (5,y)

We have x=5, k=2.5 and y=?

[tex]y=kx\\y=2.5(5)\\y=12.5[/tex]

So, the missing value y=12.5 and we have (5,12.5)

Answer:

Haven't found the answer but in the comments above me someone said it was D and it was def not D so try anything other than that, I just took the test on Edg2020

Step-by-step explanation:

Answer:

Initial investment= $777.78

Step-by-step explanation:

Giving the following information:

Last year Hank cashed out his investment account that earned 4.5% simple interest after 10 years of investing. He ended up with $350 in interest on the account.

To calculate the principal (initial investment), we need to use the following formula:

I= P*r*t

I= $350

r= 0.045

t= 10

P= ?

350= P*0.045*10

350/0.45 = P

$777.78= P

Answer:

[0.184, 0.266]

Step-by-step explanation:

Given:

Number of survey n =280

Number of veterans = 63

Confidence interval = 90%

Computation:

Probability of veterans = 63/280

Probability of veterans =0.225

a=0.1

Z(0.05) = 1.645 (from distribution table)

Confidence interval = 90%

So,

p ± Z*√[p(1-p)/n]

0.225 ± 1.645√(0.225(1-0.225)/280)

[0.184, 0.266]

Answer:

900000000

Step-by-step explanation:

Area=400×500

=60000m²

Since

1m² = 15000

60000m² = x

x = 60000×15000

x = 900000000

Answer:

(-2 , 2)

Step-by-step explanation:

y=x+4

y=-2x-2

x+4=-2x-2

3x=-6

x=-2

y=2

graph attached

[tex]\large\boxed{\boxed{\pink{\bf \leadsto (-2,2) \ is \ the \ solution \ of \ the \ given \ linear \ equations .}}}[/tex]

Given to equations to us are ,

[tex]\qquad \red{\bullet} \: y = x + 4 \\\\\qquad \red{\bullet} \: y = -2x - 2 [/tex]

And we need to find the solution using graphical method.

So , after plotting the graph of both equations the point where both lines intersect will be the solution of the graph.

And , for plotting we need at least two points .

For equation (1) :-

[tex]\implies y = x + 4 [/tex]

When x = (-4) .

[tex]\implies y = -4+4\\\\\bf\implies y = 0 [/tex]

When x = (-3)

[tex]\implies y = -3+4\\\\\bf\implies y = -1 [/tex]

[tex]\large\boxed{\begin{tabular}{|c|c|c|} \cline{1-3} \bf x & (-4) & (-3) \\\cline{1-3} \bf y & 0 & 1 \\\cline{1-3}\end{tabular}}[/tex]

For equation 2 :-

[tex]\implies y = -2x - 2 [/tex]

When x = (-1) .

[tex]\implies y = -2(-1)-2\\\\\bf\implies y = 0 [/tex]

When x = (0)

[tex]\implies y = 0-2\\\\\bf\implies y = -2 [/tex]

[tex]\large\boxed{\begin{tabular}{|c|c|c|} \cline{1-3} \bf x & (-1) & 0 \\\cline{1-3} \bf y & 0 & -2 \\\cline{1-3}\end{tabular}}[/tex]

Now , let's plot their graphs. Graph is in attachment. Hence on plotting the graph we see that both the lines Intersect on (-2,2) . Hence x = -2 and y = 2 is the solution of the given linear equation.

Answer:

solution

-V=17-2

-V=15

Answer:

y = -1.25x + 3

Step-by-step explanation:

To see if the coordinate pairs are on this line, plug x into the equation above.

y = -5 + 3

y = -2, so (4, -2) is on that line.

y = -1.25(8) + 3

y = -10 + 3

y = -7, so (8, -7) is also on that line.

Answer:

y = -1.25x + 3

Step-by-step explanation:

i got it right

Step-by-step explanation:

P(x)

= (x - 2)Q¹(x) + 5

= (x - 2)[(x² + 2x + 4)Q²(x) + 2x - 3] + 5.

Since x³ - 8 = (x - 2)(x² + 2x + 4),

(x - 2)[(x² + 2x + 4)Q²(x) + 2x - 3] + 5

= (x - 2)(x² + 2x + 4)Q²(x) + (x - 2)(2x - 3) + 5

= (x³ - 8)Q²(x) + (2x² - 7x + 11).

Hence when P(x) is divided by (x³ - 8),

the remainder is 2x² - 7x + 11.

Answer:

Different Amount

Step-by-step explanation:

4 is more than 2 and there would need to be 2 sandwiches in family a in order for them to be equal

Answer:

2.25

Step-by-step explanation:

i think though

Each colored marker costs $1.75.

The amount of one quantity in another single quantity is termed as the unit rate of that quantity.

For example, speed is a unit rate in terms of distance and speed.

Number of colored markers Jason bought = 8

Cash that Jason gives the cashier = $15

Cash that cashier gives back = $1

Price of 8 colored markers = 15 - 1

                                             = $14

We have to find the unit rate of the colored marker, that is the price of one colored marker.

Let x be the cost of the one colored marker.

Using proportion,

8 : 14 = 1 : x

8/14 = 1/x

Doing cross multiplication,

8x = 14

x = 14/8

x = 1.75

Hence the unit rate of the colored marker or the cost of one colored marker is $1.75.

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Answer:

we know that the probability of drawing black card is 26/52. Probability of drawing a king is 4/52

Step-by-step explanation: