Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease y=330(1.06)^x

Answers

Answer 1
Answer: Exponential growth. The growth rate is 6%

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

Explanation:

The general form of an exponential function is

y = a*b^x

where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.

We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.

Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%

This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.


Related Questions

What is the root when talking about a quadratic equation

Answers

The root is the x intercepts or the zeros of the problem

If I were to graph

(x-5)(x+4)=0

We need a number for x which makes this equation 0

The numbers are 5 or -4

These are the x intercepts of the parabola or roots

Answer:

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.

Step-by-step explanation:

Derrick started a new job at McDonald's. He makes $10 per hour. Which
equation models his total weekly earnings y, in terms of the number of
hours he works x? *

Answers

Answer:

10x=y.

Step-by-step explanation:

10 represents the amount he earns an hour. X represents the number of hours so 10x. 10 times the amount of hours equals y (total amount of money)

Answer:

y = 10x

Step-by-step explanation:

The total earnings, y, is equal to the hourly rate, 10, times x, the hours worked.

y equals 10 times x, or, in equation form, y = 10x.

I hope this helps ^^

A relation R={(4,3)(5,4)(6,5)}then write its inverse

Answers

Answer:

R'={(3,4)(4,5)(5,6)}

Step-by-step explanation:

R={(4,3)(5,4)(6,5)}

R'={(3,4)(4,5)(5,6)}

which of the following is true about the expression √3*√12

Answers

A is true about the expression

A graph shows time (weeks) labeled 2 to 8 on the horizontal axis and height (inches) on the vertical axis. A line of orange dots increases from 0 to 9 weeks starting at 2 on the vertical axis. The graph shows the recorded heights of a plant in a soil experiment. Which statements describe the plant height function? Check all that apply. The function is linear. The function is quadratic. The height increases at a constant rate of change. The ratio of height and number of weeks is constant. There is no relationship between height and number of weeks.

Answers

Answer:

A.) The function is linear.

C.) The height increases at a constant rate of change.E

Step-by-step explanation:

Edge 2022

The function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Based on the description, it seems that the function is linear because the graph shows a line of dots that increases at a constant rate from 0 to 9 weeks.

Therefore, the following statements apply:

The function is linear.

The height increases at a constant rate of change.

Linear functions are those functions whose graph goes in a straight line. This function has one independent variable and one dependent variable.

The height increases at a constant rate of change. We can see as the time is increasing the height is increasing. We can determine this by slope of graph.

Hence, the function is linear and the height increases at a constant rate of change are the correct statements of the given graph.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ3

Within the gulf war did javen work at sonic?

Answers

Answer:

yes for 2 hours then died

Step-by-step explanation:

LOLLLL LOOK HERE PIC

What is the area in square centimeters of the trapezoid below​

Answers

Answer:

39.6 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is given as:

Area of a Trapezoid = 1/2(a + b) h

Where, from the question:

a = 8.9 cm

b = 5.5 cm

h = 5.5cm

Hence,

1/2 (8.9cm + 5.5cm) × 5.5cm

= 1/2 × 14.4 cm × 5.5 cm

= 39.6 cm²

Area of the Trapezoid = 39.6 cm²

Find the Area of the Trapezoid.

Answers

Answer:

18 ft^2

Step-by-step explanation:

What is the missing number? 17- =8​

Answers

Step-by-step explanation:

17-9=8 so your welcome byee

Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars?

Answers

Answer:

average temperatures on mars, then you get the hottest temperatures...

Step-by-step explanation:

The sum of two numbers is 52 and the difference is 16. What are the numbers?

Answers

Answer:

18

Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52

Step-by-step explanation:

[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]

Sixth grade is going on a field trip to Disney World. Tickets will cost each student $75.36. Parent tickets will cost $82.79 each. What will the total cost be for 36 students and 45 parents

Answers

Answer:

$ 6,438.51

Step-by-step explanation:

75.36 X 36 = 2,712.96

82.79 X 45 = 3,725.55

2,712.96 + 3,725.55 = 6,438.51

HELP! Jameson works as a cashier in a music store. A customer wants to pay
for a CD that is on sale for 15% off the regular price of $18,00
15% off
Rock 'N' Roll
greatest HITS
The cash register is broken, and Jameson must calculate the price of the
CD using only a calculator
a. What is the sale price of the CD? Show or explain how you got your
answer
b. Jameson needs to add 6%
sales tax to the sale price of the CD. What
should Jameson charge the customer for the CD, including tax? Show
or explain how you got your answer.
c. The customer told Jameson that he could get the same answer and
save time by just taking 9% off the regular price of the CD, because
15% -6% is 9%. Is the customer right? Explain your reasoning.

LOOK AT PIC FOR HELP!
thanks

Answers

Answer:

A=15.30, b=16.22, c=no. 9% of 18 doesn’t equal 16.22

Step-by-step explanation:

Jason has a bag of 30 pencils. Each pencil is 18 centimeters long. What is the combined length of the pencils in meters?

Answers

I think it’s 540 meters

In ΔWXY, the measure of ∠Y=90°, WY = 8, YX = 15, and XW = 17. What ratio represents the tangent of ∠X?

Answers

Answer:

8/17

Step-by-step explanation:

I lhes New Roman
16px
1.5pt • BI U SA A
X X2
6-1 Area Word Problems
Pizza Palace's largest pizza box has side lengths of 18 inches. A customer wants to special order a pizza
with an area of 300 square inches. Will the pizza fit in one of Pizza Palace's pizza boxes?

Answers

Answer:

No,the pizza will not fit in the box

Step-by-step explanation:

Since the diameter of the pizza is 19.6 inches which is greater that the side length of the box, the pizza is longer than the side lengths of the box

to get the diameter of the pizza,Since the pizza is circular in shapeArea of a circle = π r²where r is the radius and the area is 300 inch²

300 = 3.142 × r²

[tex] {r}^{2} \: = \: \frac{300}{3.142} \\ {r}^{2} = 95.48 \\ r \: = \sqrt{95.48} \\ r \: = \: 9.8 \: inches[/tex]But diameter is two times the radius So.....diameter = 2r Diameter of the pizza = 2 × 9.8Diameter of the pizza = 19.6 inches

Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%​

Answers

Answer:

I think its B

Step-by-step explanation:

please helpppppppp , thank you!

Answers

Answer:

1/2 is likely but I'd rather go with 2

Cual es la potencia de base 3 que corresponde al producto 3 elevado a 3,3elevao a menos 2y 9 elevado a menos

Answers

Hehe r shahwbe ruehebrusiwb radiate r turbo ruw

Which expression is equivalent to x with the power of 2 +2x+2?

Answers

Answer:

The answer is the fourth one

Step-by-step explanation:

The correct answer is the third option as in the screenshot I have attached.

To keep her grades up madeline must earn more than 80 points on her science fair project. Let p represent the number of points she could earn.

Answers

Answer:

[tex]p > 80[/tex]

Step-by-step explanation:

Given

Points = More than 80

Required [Missing from the question]

Represent as an inequality

Let p represents the number of points.

More than means greater than i.e. >

Hence, more than 80 is represented as;

[tex]p > 80[/tex]

WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)

Answers

Answer:

2(n+1)+2

You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.

19 1/2 is 3/4 of what number?

Answers

Answer:

19.5 = 0.75x

x = 26

I hope this finds you well and have a great day.

1. A coin is tossed once, what is the probability of getting a head​

Answers

Answer:

The answer is...1/2

Step-by-step explanation:

1- head

1-tail

To get head-1/2

Answer:

the answer is 1/2

Step-by-step explanation:

you have 2 sides each side a 50% chance

Solve for the values of x and y:

y = 3x - 5 ........(i) and y = -x + 7 ........(ii)

Answers

Answer:

x= 3, y= 4

Step-by-step explanation:

y= 3x -5 -----(i)

y= -x +7 -----(ii)

Substitute (i) into (ii):

3x -5= -x +7

3x +x= 7 +5

4x= 12

x= 12 ÷4 (÷4 on both sides)

x= 3

Substitute x= 3 into (ii):

y= -3 +7

y= 4

uadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side PQ.
Found your answer to the nearest tenth if necessary.

Answers

58/17 =3.411 26.5x3.411=90.39 so round to 90.4

2. Antonio dispone de un capital de $9,000.00


en una cuenta al 4% de interés anual y o


sabiendo que el capital acumulado al cab


one de un capital de $9,000.00 dólares, del que una parte la deposita


enta al 4% de interés anual y otra al 5% anual. Calcula ambas partes


que el capital acumulado al cabo de un año es de $9,400.00 dólares.

Answers

Answer:

La respuesta al ejercicio es:

$4,000.00 al 5% anual.$5,000.00 al 4% anual.

Step-by-step explanation:

Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:

x = monto de dinero al 5% anual.y = monto de dinero al 4% anual.

Y el siguiente sistema de ecuaciones:

x + y = 9000x * 5% + y * 4% = 400

En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:

   2. x * 0.05 + y * 0.04 = 400

Lo cual también se puede representar como:

   2. 0.05x + 0.04y = 400

Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:

x + y = 9000y = 9000 - x

Y la reemplazaré en la segunda ecuación:

0.05x + 0.04y = 4000.05x + 0.04 (9000 - x) = 400

Ahora operamos:

0.05x + 360 - 0.04x = 400

Restamos las variables x:

0.01x + 360 = 400

Y despejamos el valor real de x:

0.01x = 400 - 360x = 40 / 0.01x = 4000

Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:

x + y = 90004000 + y = 9000y = 9000 - 4000y = 5000

Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.

Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.

When does the ball reach its maximum height?

What is the maximum height of the ball?

Answers

Answer:

Maximum height of the ball = 100 m

Time to reach the maximum height = 2.5 seconds

Step-by-step explanation:

Function that models the height h(t) of the ball and time 't',

h(t) = -16t² + 80t

Convert this equation into vertex form,

h(t) = -16(t²- 5t)

     = -16[t² - 2(2.5t) + (2.5)² - (2.5)²]

     = -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²

     = -16(t - 2.5)² + 16(6.25)

     = -16(t - 2.5)² + 100

By comparing this equation with,

g(t) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the given parabola will be → (2.5, 100)

Therefore, maximum height of the ball = 100 m

Time taken by the ball to reach the maximum height = 2.5 seconds

Consider this right triangle determine whether each equation is correct. Select yes or no for each equation

Answers

Answer:

where is the question?

Step-by-step explanation:

I don't see anything If he then " consider this right triangle determine whether each equation is correct select yes or no for each equation"

What is the difference between the number of solutions for a two-step equation and for a two-step inequality

Answers

Answer:

A two-step equation is something like:

A*X + B = C

In this case, like in a linear equation, we have only one solution that can be found as:

A*X = C - B

X = (C - B)/A

In the case of a two-step inequality, we have something like:

A*X + B > C

Solving this we get;

A*X >  C - B

X > (C - B)/A

In this case, any value of X that is larger than  (C - B)/A is a solution, so in this case, we have infinite solutions.

That is the difference between the number of solutions for each case, in a two-step equation we have only one, while in the case of the inequality we have infinite.

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