A factory produces 1, 250, 000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, N (in millions), being produced in t years?

Answers

Answer 1

The question is incomplete, the complete question is;

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?

A. n= 2.5(1.5)/t, t cannot = 0

B. n= 1.5t^2 + 1.25

C. n= 1.5t + 1.25

D. n= 1.25(2.5^t)

Answer:

D. n= 1.25(2.5^t)

Step-by-step explanation:

This is an exponential growth problem. In mathematics, for an exponential growth problem;

P = Po(1 + r)^t

Where;

P= amount at time t

Po =initial amount

r= rate

t= time

In the context of the question we have;

n= 1.25(1 + 150/100)^t

n= 1.25(2.5)^t


Related Questions

Triangle ABC is reflected across the line y = x. What are the coordinates of the vertex B' of the resulting triangle A'B'C?

Answers

Answer:

B' (2, - 5 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

B (- 5, 2 ) → B' (2, - 5 )

you hold a sale for $5 sandwiches at your restaurant.you end up selling 359 sandwiches to 245 customers

A. how much money do you have in sandwich sales?

B. how many sandwiches per customer did you sell ?

Answers

Answer:

A. $1795

B. 7

Step-by-step explanation:

Given the following data;

Cost price, Cp = $5

Number of sandwiches sold, Ns = 359 sandwiches.

Number of customers, Nc = 245 customers.

a. To find how much money you have in sandwich sales;

Total amount of money = Cp * Ns

Total amount of money = 5 * 359

Total amount of money, T = $1795

B. To find how many sandwiches per customer did you sell;

Sandwiches per customer = T/Nc

Sandwiches per customer = (1795/245

= 7.33 ≈ 7

Tell answer
find in exponenial form
a) 27³x9²x3 options
1) 3³
2) 3 to power 14
answer in detail​

Answers

Answer:

[tex]{ \tt{ {27}^{3} \times {9}^{2} \times 3 }} \\ = { \tt{ {3}^{3} \times {3}^{2} \times {3}^{1} }} \\ = { \tt{ {3}^{(3 + 2 + 1)} }} \\ { \tt{ = {3}^{6} }}[/tex]

A sinusoidal graph has an amplitude of 9 and a midline of y = –2. Determine
the range of the graph.

Answers

Answer:

[tex]( - 11.7)[/tex]

Range 18

Step-by-step explanation:

Twice the amplitude.

2). 2, x, 14 are in Arithmetic progression, then the value of x is :
A. 28
B. 16
C. 7
D. 8​

Answers

the answer is C. 7 hope it help ;)
An arithmetic progression is a constant rate of change through addition or subtraction. The formula for an arithmetic sequence/progression is an = a1 + (an-1)d. an is the term that we are looking for, a1 is the first term, and d is the common difference which is the distance between each of the numbers.

If we plug in our numbers, we get 2 = 2 + (2-1)6. I found the common difference by subtracting 14 and 2 and then dividing by 2. 12/6 = 6. We need to first multiply 1 and 6 to get 6. 6 + 2 is 8. Therefore, the value of x is 8.

Slope of (5a, b) and (2a, 2b)

Answers

Answer:

8a+4b

Step-by-step explanation:

I need help by 9:30!!! Please help! I would GREATLY appreciate it!!!!!
I have two questions:
1. Which is larger: a or -a
if a > 0 = a___-a
if a = 0. = a___-a
if a < 0 = a___-a

2. Which is larger: 1/a or 1/2a
if a > 0 = 1/a___1/2a
if a < 0 = 1/a___1/2a

Answers

Answer:

1. a>-a

EXAMPLE: 5>-5

2. a=-a

3. a<-a

EXAMPLE: -3<--3 = -3<3

Step-by-step explanation:

The perimeter of a rectangle is 34 units. Its width is 6.5 units.
LAT. write an equation to determine the length

Answers

Answer:

please mark me brainlist

Step-by-step explanation:

Pepe and Leo deposit money into their savings accounts at the end of each
month. The table shows the account balances.
If their patterns of saving continue, and neither earns interest nor withdraws
any of the money, how will the balances compare after a very long time?

Answers

Pepe's balance will be greater as it is increasing exponentially while Leo's is increasing linearly

(see graph, where red is Pepe and blue is Leo)

Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

What is an exponential function?

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]

where a is a constant and a>1

We have:

Pepe and Leo deposit money into their savings accounts at the end of each month.

From the table, we can plot a graph on a coordinate plane.

As we can see in the graph:

Because Pepe's balance is growing exponentially and Leo's is growing linearly, it will be bigger.

Thus, Pepe's balance will be greater because Pepe's balance is growing exponentially option (A) is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ5

Which graph represents a function?
1, 2, 3, or 4

Answers

Answer:

The given graph is a function.

Step-by-step explanation:

There is only one given graph, and that graph is a function. In order to determine which graph is a function, conduct the vertical line test. Can a vertical line pass through the represented data set without crossing two y-values? (i.e. A 'sideways parabola' is not a function).

What is the difference? StartFraction 2 x + 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x + 5 Over x cubed minus 9 x EndFraction minus StartFraction x + 1 Over x squared minus 9 EndFraction StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction

Answers

Answer:

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

Step-by-step explanation:

Given:

(2x + 5) / (x² - 3x) - (3x + 5) / (x³ - 9x) - (x + 1) / x² - 9

Factor the denominators

(2x + 5) / x(x - 3) - (3x + 5) / x(x - 3)(x + 3) - (x + 1) / (x - 3)(x + 3)

Lowest common multiple of the 3 fractions is x(x - 3)(x + 3)

= (2x+5)(x+3) - (3x + 5) - (x + 1)x / x(x - 3)(x + 3)

= (2x²+6x+5x+15) - (3x + 5) - (x² + x) / x(x - 3)(x + 3)

= 2x² + 11x + 15 - 3x - 5 - x² - x / x(x - 3)(x + 3)

= x² + 7x + 10 / x(x - 3)(x + 3)

Solve the numerator.

Solve the quadratic expression by finding two numbers whose product is 10 and sum is 7

The numbers are 5 and 2

= x² + 5x + 2x + 10 / x(x - 3)(x + 3)

= x(x + 5) + 2(x + 5) / x(x - 3)(x + 3)

= (x + 5)(x + 2) / x(x - 3)(x + 3)

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

Recall,

x(x - 3)(x + 3) is a factor of x³ - 8x

A. StartFraction (x + 5) (x + 2) Over x cubed minus 9 x EndFraction

(x + 5)(x + 2) / x³ - 9x

B. StartFraction (x + 5) (x + 4) Over x cubed minus 9 x EndFraction

(x + 5)(x + 4) / x³ - 9x

C. StartFraction negative 2 x + 11 Over x cubed minus 12 x minus 9 EndFraction

2x + 11 / x³ - 12x - 9

D. StartFraction 3 (x + 2) Over x squared minus 3 x EndFraction

3(x + 2) / x² - 3x

Enter a recursive rule for the geometric sequence?

4, -16, 64, -256,...

a^1 = __; a^n = __


Plzz help!

Answers

Answer:

Step-by-step explanation:

a^1=-2

a^n=a×a^n-1

Help me pls asappp with Pythagorean theorem

Answers

Begged dhbsnsysvs dybsdtd days s

Help me find x- geometry

Answers

Answer:

We know that,

The sum of the two opposite angles of a circular quadrilateral is 180 degrees.

So,

[tex] \sf {47}^{ \circ} + 7x + {21}^{ \circ} = {180}^{ \circ} \\ = > 7x = {180}^{\circ} - {47}^{\circ} - {21}^{\circ} \\ = > 7x = 112 \\ = > x = \frac{112}{7} \\ = > x = {16}^{\circ} \\ [/tex]

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚

Using the above theorem

47 + 7x + 21 = 180

7x + 68 = 180

7x = 180 - 68

7x = 112

x = 112/7

x = 16

Therefore value of x is 16°

Answered by Gauthmath must click thanks and mark brainliest

The midpoint of A (-4, 2) and B(8,5) is
O (2,7/2)
O (-6, 3/2)
O (4,7/2)

Answers

Answer:

(2,7/2)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(-4+8) /2 = 4/2 =2

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(2+5) /2 = 7/2 =

The midpoint is (2,7/2)

Answer:

(2, [tex]\frac{7}{2}[/tex])

Step-by-step explanation:

Hi there!

We want to find the midpoint of (-4,2) and (8,5)

To do that, we'll use the midpoint formula, which will find the midpoint using the formula ( [tex]\frac{x_1+x_2}{2}[/tex],[tex]\frac{y_1+y_1}{2}[/tex]), where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion

[tex]x_1[/tex]=-4

[tex]y_1[/tex]=2

[tex]x_2[/tex]=8

[tex]y_2[/tex]=5

Now substitute those values into the formula and solve

To find the value of the x-coordinate of the midpoint, use [tex]\frac{x_1+x_2}{2}[/tex]

x=[tex]\frac{-4+8}{2}[/tex]

Add the numbers together on the numerator

x=[tex]\frac{4}{2}[/tex]

Divide

x=2

The value of the x-coordinate is 2

Now find the value of the y coordinate by using [tex]\frac{y_1+y_1}{2}[/tex]

y=[tex]\frac{2+5}{2}[/tex]

Add the numbers together on the numerator

y=[tex]\frac{7}{2}[/tex]

So the point is (2, [tex]\frac{7}{2}[/tex])

Hope this helps!

What is the function rule that represents the sentence y is 7 less than the product of 6 and x?

Answers

Answer:

y = 6x-7

Step-by-step explanation:

product of 6 and x

6x

7 less than the product of 6 and x

6x-7

y = 6x-7

The step function g(x) is defined as shown.
-3, X < 0
g(x) = 2 0 < x < 4
5, 4 < x < 10
What is the range of g(x)?
0 -3 = g(x) 5
Os g(x) = 10
O {-3, 2, 5)
{0, 4, 10}

Answers

The 3rd option is correct.

The range refers to the y-values so the multiple choice answer is restricted to the 1st and 3rd options. The range of the step function is not continuous, it is only the discrete values {-3, 2, 5}.

4. Which expression is a simplified form of -5(8x)?
a. 40x
b. -40%
C. 3x
d. -40x?

Answers

Answer:

Option d

Step-by-step explanation:

-5(8x)

= -5×8×x

= -40x

Answered by GAUTHMATH

en el coliseo de una ciudad, se jugo la final de un campeonato de voley . En total , 1200 personas asistieron al coliseo . esta cantidad de personas representa a los 3/4 de su capacidad. ¿Cual es la capacidad que tiene este coliseo?
a)900
b)1200
c)1600
d)4800

Answers

c. 1600

1200 : 3 * 4

= 400 * 4

= 1600

The capacity of this coliseum is 1600

The correct option is (C)

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

Total people attended the Coliseum= 1200

let he capacity be x

3/4*x= 1200

x= 1200*4/3

x= 1600

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ6

Your question is incomplete/other language, probably the traslated question/missing part is:

In a city coliseum, the final of a volleyball championship was played. In total, 1,200 people attended the Coliseum. this number of people represents 3/4 of its capacity. What is the capacity of this coliseum?

Please help! Thank you.

Answers

Answer:

B

Step-by-step explanation:

x((7/2)-(7/3))=y+x

x(7/6)=y+x

7x=6y+6x, x=6y. y/x=1/6

PLEASE HELP!
Part C
What if the first six-sided die is replaced by an eight-sided die. How can you change the table to show the sample space for rolling an eight-sided die and then a six-sided die? Explain.

Answers

Answer:

If the first die is changed from a six-sided to an eight-sided die, add two rows to the bottom of the table and number them 7 and 8.

Step-by-step explanation:

Answer:

If the second die is changed from a six-sided to an eight-sided die, add two columns to the right of the table and number them 7 and 8.

Step-by-step explanation:

"A parabola has the equation y=3x^2+ 6x- 12 . What are the coordinates of the vertex? (You must solve by factoring)!!!!!" I NEED THE ANSWER TO THIS FAST WITH STEPS I'm a grade 10 academic student by the way

Answers

enjoy it

it best answer for you

What will increasing the size of a probability sample do? decrease the level of confidence increase the variability of a sample statistic increase the variability in a population parameter decrease the variability of a sample statistic decrease the variability in a population parameter

Answers

Answer:

Decreases the variability of a sample

Step-by-step explanation:

Given that the items are unrelated random variables, we have that the total of the variances of variates is the variance of their sum, that is the variance of the mean of a distribution is the variance of a sample in the distribution divided by the square root of the number of subjects in the sample (the sample size)

Therefore, we have;

[tex]\sigma_{\overline x} = \dfrac{\sigma }{\sqrt{n} }[/tex]

Therefore, increasing the size of a probability sample, decreases the variability of a sample and increases precision and level of confidence

Simplify. Write your answer in exponent form.

Answers

Answer:

8x^3/2

Step-by-step explanation:

(4x)^3/2 = ( 4^3/2 ) ( x^3/2 ) =8x^3/2

what type of variation is this relationship

Answers

Answer: C) Partial variation; $375

=========================================================

Explanation:

We don't have a direct variation because the initial cost isn't $0

The equation for this situation is y = 25x+375, where x is the number of yearbooks purchased and y is the total cost.

Notice how this line doesn't go through the origin. All direct variation graphs are straight lines through the origin.

So that's why we have partial variation instead.

The initial cost is simply the set up cost, aka the cost when x = 0. That initial cost is $375. The initial cost is located at the y intercept.

From that initial cost, we then add on multiples of $25 depending on how many yearbooks are purchased.

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

In short, because the initial cost is $375, which is some nonzero value, this means we don't have direct variation. Instead, we have partial variation.

How would I find cos(180º) without a calculator?

Answers

Answer:

Step-by-step explanation:

The cos of an angle is the adjacent / hypotenuse.

In this case the adjacent and hypotenuse are the same length so the answer is 1 in some form.

You are going left when you talk about 180 degrees. So the adjacent = - 1

The answer you want is -1 / 1

Cos(180) = - 1

b) Tìm ba cách viết số hữu tỉ -11/25 dưới dạng tổng của hai số hữu tỉ dương.

Answers

Bạn ơi tổng hai số hữu tỉ dương làm sao bằng âm được ạ? Bạn xem lại đề có sai không ạ ^^

A car is purchased for $21,500. After each year, the resale value decreases by 25%. What will the resale value be after 5 years?

Answers

Answer:

$5,102.05

Step-by-step explanation:

Present value of the car = $21,500

Present percentage value = 100% = 1

Percentage of Depreciation per year = 25% = 0.25

Years of depreciation = 5 years

The value of the car after 5 years = Present value of the car (Present percentage value - Percentage of Depreciation per year)^Years of depreciation

= 21,500(1 - 0.25)^5

= 21,500(0.75)^5

= 21,500(0.2373046875)

= 5,102.05078125

Approximately,

The value of the car after 5 years = $5,102.05

indio, california is located at an elevation that is below sea level. which is a possible elevation for indio, california?pls help besties!!

Answers

Answer:

Let me look some things up.

Step-by-step explanation:

Then I will get back to you

Which Venn Diagram is NOT correct?

Answers

i need ur help to escape the police men because the only reason i stole his pickles was because i was going through this thing where all i wanted to do was eat PICKLES and my mom wouldn’t buy any. ANSWER IS LETTER B
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