Given the following exponential function, identify whether the change represents growth or decay, and
determine the percentage rate of increase or decrease. y=3400(1.97)^x

Answers

Answer 1

Answer: 97% growth rate.

Step-by-step explanation:

Hi, to answer this question we have to analyze exponential function:

A = P (1 + r) t  

Where:

p = initial value

r = growth or decay rate (decimal form)

t= number of time intervals

A = value after t intervals

Replacing with the values given:

y=3400(1.97)^x

Where the term 1.97 = 1 + r

Solving for r:

1.97-1 = r

0.97 =r

Since the rate is positive, it is a  growth rate.

To determine the percentage we have to multiply it by 100

0.97 x 100 = 97%

Feel free to ask for more if needed or if you did not understand something.


Related Questions

Which statements are true about the locations of points A and B? Select all that apply.
1 Point A is at (0, –2).
2 Point A is at (0, –4).
3 Point A is at (–4, 0).
4 Point B is at (–4, –3).
5 Point B is at (–8, –6).
6 Point B is at (–8, –7).

Answers

Answer:

the answers would be 2 and 6

Step-by-step explanation:when plotting points on a graph to wright where the point is you would use (x,y) x being the horizontal line on the graph and y being the vertical. In this case point A is located at (0,-4) because it is ) on the x-axis and -4 on the y-axis. point B is located at (-8,-7) because it is -8 on the x-axis and -7 on the y-axis.


One side of a rectangle is three times the other. Find the longer side if the perimeter is
29

Answers

Answer:

Answer: 10.875

Step-by-step explanation:

Let the short side be x.

Then the long side is 3x.

There are two opposite sides of each length, so the perimeter is

3x + 3x + x + x = 8x

The perimeter is 29, so we get the equation

8x = 29

Solve for x by dividing both sides by 8.

x = 29/8

x = 3.625

The longer side is 3x.

3x = 3(3.625) = 10.875

Answer: 10.875

Answer:

Answer:10.875

Step-by-step explanation:

Let the short side be x.

Then the long side is 3x.

There are two opposite sides of each length, so the perimeter is

3x + 3x + x + x = 8x

The perimeter is 29, so we get the equation

8x = 29

Solve for x by dividing both sides by 8.

x = 29/8

x = 3.625

The longer side is 3x.

3x = 3(3.625) = 10.875

Answer: 10.875

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-7-4x=18

What does x stand for?

PLEASE!!

Answers

-25/4 please brainliest
X=-25/4
This is what x equals


Mrs. Henson's rectangular afghan is 2 feet
longer than it is wide. If the afghan has an
area of 24 square feet, what is its width?
(Remember, the area of a rectangle is its
length times its width.)

Answers

Answer:

The width is 4

Step-by-step explanation:

If the length is 6 feet, minus 2 will be 4. Six times 4 is 24, which is the area of the afghan rug. We are multiplying 6 and 4 because it is length times width in rectangle area.

Mrs. Henson's rectangular afghan width will be 4 feet

Area of a rectangle

It is the product of its length and width

How to solve this problem?

Let, x be width of rectangular afghanGiven,

Length of afghan is 2 feet more than its width

∴ l = x+2

Area of rectangular afghan = 24 square feet

Now,

Area of rectangular afghan = lw

[tex]24=x(x+2)\\24=x^{2} +2x\\x^{2} +2x-24=0\\x^{2} -4x+6x-24=0\\(x-4)(x+6)=0\\x=4 or -6[/tex]

Since width can not be in negative

[tex]x=4feet[/tex]

So the width of rectangular afghan will be 4 feet

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Of the 24,400 working hours logged at a beauty salon last year, Beatrice worked 976 hours. What percentage of the total hours did Beatrice work?

Answers

Answer: 4% (or 4.1% when rounded to the nearest tenth or 4.08 % when rounded to the nearest hundredth)

Step-by-step explanation:

First, you would need to put it into a fraction.

You have [tex]\frac{996}{24400}[/tex].

When you divided it, you would get:

0.04081....

Then you have to multiply times 100 to get it into percent form. This gives you:

4.081%

Then, round as you please!

This is your answer!

Which is a solution of x^2- x - 3/4= 0?
-1/4
1/2
3/2
3/4

Answers

Answer:

its B

Step-by-step explanation:

4. If a student is chosen at random from
those who participated in the survey,
what is the probability that the student
participates in school sports, given that
the student is a male?
Answer choices:
0.379
0.476
0.524
0.621

Answers

Answer:

0.524

Step-by-step explanation:

Final answer:

To find the probability that a student participates in school sports given that the student is a male, we use conditional probability. The probability is approximately 0.624.

Explanation:

To find the probability that a student participates in school sports given that the student is a male, we need to use conditional probability. Conditional probability is calculated by dividing the probability of two events happening together by the probability of the given condition.

Let's denote the event of a student participating in school sports as A and the event of a student being a male as B.

The probability of a student participating in school sports and being a male is given as 0.409. The probability of a student being a male is given as 0.654. Therefore, the conditional probability of a student participating in school sports given that the student is a male can be calculated as:

P(A|B) = P(A and B) / P(B)

P(A|B) = 0.409 / 0.654 ≈ 0.624

So, the probability that a student participating in the survey participates in school sports, given that the student is a male, is approximately 0.624.

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(07.01)Amanda created a table to help her represent the sample space of spinning a spinner and flipping a coin
Result of spin
Result of coin tossRed Green
Yellow Blue
Heads
Red, heads Green, heads Yellow, heads Blue, heads
Tails
Red, tails Green, tails Yellow, tails Blue tails
What is the probability that the result of the spin is blue and the coin lands heads up?
2
8
3
8
1
8
4
8

Answers

Answer:

1/8

Step-by-step explanation:

i got it right

Help! I need help please!

Answers

Answer:

[tex] \sin A = \frac{3}{5} [/tex]

Consider the equation, 3x+4y=12.
Write the equation in slope-intercept form.
Identify the y-intercept.

Identify the slope.

Answers

The equation in slope-intercept form is y = -3x/4 + 3.

The y-intercept is 3.

The slope is -3/4.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m is the slope or rate of change.x and y are the points.b is the y-intercept or initial value.

Based on the information provided about this line, a linear equation that models it is given by;

y = mx + b

3x + 4y = 12

By making y the subject of formula, we have the following:

4y = -3x + 12

4y/4 = -3x/4 + 12/4

y = -3x/4 + 3

Therefore, the y-intercept is 3 and the slope is -3/4.

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the probabiltiy for snow today is 0.6 the probabiltiy foe anow tomorrrw of 0.4. the pr ability for snow both days is 0.1. fins the probability that it will snow at least one if the two days

Answers

Answer:

Step-by-step explanation:

1%

Answer:

1% I think. I used a calculator but sometime my calculator doesn’t work.

John was given a math equation. He completed it in 5 seconds. Is his answer correct? If it is, show how he got the answer. Show your work. See picture down below.

Answers

Answer:

His work is correct, easiest question in the world!LOL

Step-by-step explanation:

1+1= 2

his answer is correct because;
1 bag in addition to 1 bag is 2 bags

Quinn mailed four postcards that each cost $0.25, five letters that each cost $0.44, two large envelopes that each cost $0.80, and one small package for $5.10. Which cost on the list of mailing fees on Quinn’s receipt would skew the mean?

the cost of a postcard
the cost of a letter
the cost of a large envelope
the cost of the small package

Answers

Answer:

the cost of the small package

Step-by-step explanation:

I hope this is correct. I'm sorry if it's not...

What is the slope of the line through (-1, 4) and (1, -2)?

Answers

Answer:

slope = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (1, - 2)

m = [tex]\frac{-2-4}{1+1}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

Answer

Slope = -3

Step-by-step explanation:

do you need an explanation

can someone help me really please​

Answers

Answer:

A) .1

B) .5

C) .7

D) .7

E) 1.2

F) 1.9

G) 3.2

H) 3.6

I) 4.4

Step-by-step explanation:

There are 10 dashes between each number so when you reach a whole number and have to go beyond that point, just count the dashes which will give you your whole number, if you have one, and your decimal.

The sum of three numbers is -39.22. One of the numbers is 22.8. The other two numbers are equal to each other. What is the value of the other two numbers?

Answers

Answer:

The value of the other two numbers is 31.01

Step-by-step explanation:

Let the two numbers equal to each other be x

One of the numbers is 22.8

The sum of three numbers is -39.22.

So, x+x+22.8=-39.22

2x+22.8=-39.22

2x=-39.22-22.8

2x=-62.02

[tex]x=\frac{-62.02}{2}[/tex]

x=-31.01

Hence the value of the other two numbers is 31.01

which box plot represents a data set with a lower quartile or 24 and an upper quartile of 42

Answers

The one on the bottom right corner, where the rectangle in the center has one side of it at 24 and the other at 42

The box plot that represents a data set with a lower quartile of 24 and an upper quartile of 42 from the given option is D(The bottom option on the right end).

What are quartiles?

When we get data that can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each group approximately possessing 25% of the data.

The lower quartile, also called the first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.Similarly, the second quartile (also called median) is approximately in mid of the data.The third quartile (also called the upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in the assumption that data were arranged increasingly from left to right

Since we need to find the box plot that has a lower quartile of 24 and an upper quartile of 42, therefore, we need to find a box plot whose rectangle starts at 24 and ends at 42, from left to right.

Hence, the box plot that represents a data set with a lower quartile of 24 and an upper quartile of 42 from the given option is D(The bottom option on the right end).

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Which number is an irrational number?

Answers

Answer:

0.6

Step-by-step explanation:

A jar contains 11 brown and 18 blue marbles. A marble is drawn at random. What is the probability that the marble is not blue?

A. 18⁄29

B. 1⁄11

C. 11⁄18

D. 1⁄18

E.11⁄29

Answers

Answer:

E

Step-by-step explanation:

Which graph best represents the cost to mail a package based on weight categories?
Plz help

Answers

Answer:

IV

Step-by-step explanation:

Since the cost is the same for weights in one interval, it will form a step function

The figure below has one base
and eight lateral faces. Find its surface
area to the nearest whole number.

Answers

Answer: B

Total surface area = 320 m^2

Step-by-step explanation:

The figure is a combination of a cuboid and pyramid.

The Surface Area of a Pyramid When all side faces are the same:

[Base Area] + 1/2 × Perimeter × [Slant Length]

Let us use pythagorean theorem to calculate the slant length

Slant length = root(6^2 + 4^2)

Slant length = 7.2 m

Base area = 8 × 8 = 64 m^2

Perimeter = 8+8+8+8 = 32 m

Surface area of the pyramid will be

= 64 + ( 1/2 × 32 ) × 7.2

= 64 + 16 × 7.2

= 64 + 115.4

= 179.4 m^2

The surface area of the cuboid will be

LB + LH + BH = 8×8 + 8×5 + 8×5

= 64 + 40 + 40

= 144 m^2

Total surface area = 179.4 + 144

Total surface area = 323.4 m^2

= 320 m^2 to the nearest whole number.

Monica needs soup. The store has a special 5 cans for $10.00. If she buys just one can of soup, the cost is $2.20. Which is the better deal?
explanation pls!

Answers

The best one is the 5 for 10 because if she gets one can of soup and you multiply it by 5 you get 11. That means that the 5 for 10 is cheaper. Hope this helped!
The 5 cans for 10 dollars is the best deal,because if you multiply $2.20 by 5 you will get $11.00 which is one more dollar than what you would paid for 5 cans for $10.00

Rewrite the equation by completing the square.
x² + 4x = 0​

Answers

Answer:

(x+2)^2 = 4

Step-by-step explanation:

x² + 4x = 0​

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2+4x+4 = 0+4

(x+4/2)^2 = 4

(x+2)^2 = 4

Select three expressions that are equivalent to 2x(4x+8y) Please include explanation.
Will choose brainliest

Answers

Answer:

Its f,e,c

Step-by-step explanation:

Its correct because when u solve one side is 8x and the other is 16y

A punch bowl has a capacity of
8 quarts. How many cups can the
punch bowl hold?
A 16 cups
B 24 cups
C 32 cups
D 48 cups​

Answers

Answer:

The answer is C

Step-by-step explanation:

There are 32 oz in a quart, 8 oz in a cup, and therefore 4 cups

in a quart. 4 cups(quart) X 8 quarts (Punch bowl)= 32  cups

Answer-C 32 cups


You should know 4 cups are in one quart so if you multiply 4 times 8 you get 32 so you know 32 cups is the answer

Hope that helps

What is the value of the expression 6x (2.2+12.8)-4

Answers

The answer is =90x-4

h(t) = (t + 3) ^ 2 + 5

Answers

Answer:

If you are looking for the vertex then the answer is (-3, 5)

Step-by-step explanation:

Hope this works

The answer is in the picture

Can someone please help me with this question??

Answers

Answer:

0.01 or 1%

Step-by-step explanation:

Find the original value of the stock by adding the amount lost to the end value.

$67.32 + $0.68 = $68.00

You would then divide the end value by the original value.

$67.32 / $68.00 = 0.99

To find what percentage the stock declined by, you would subtract.

1.00 - 0.99 = 0.01

To convert 0.01 to a percentage, you would multiply it · 100 to get 1%.

Enter the trigonometric equation you would use to solve for x in the following right triangle. Do not solve the equation.



Answers

Answer:

Step-by-step explanation:

You need to use the Tangent

tan = opposite / adjacent

Rearrange formula to solve for opposite.

opposite = tan(angle) x adjacent

Which graph represents the equation y = --3x – 1?

Answers

Answer:

Step-by-step explanation:

Final answer:

The equation y = -3x - 1 represents a straight line with a slope of -3 and y-intercept of -1. The graph will be a line falling to the right and crossing the y-axis at -1.

Explanation:

The question asks which graph represents the equation y = -3x - 1. This is a linear equation, where the coefficient of 'x', -3 here, gives us the slope of the line, and the constant, -1 here, gives us the y-intercept. A slope of -3 means for each step of 1 increase in x, the value of y decreases by 3. The y-intercept is the point where the line intersects with the y-axis, in this case at y = -1.

A graph representing this equation will be a straight line with a slope of -3 (indicating the line falls as we move along the positive x-axis) and will cut the y-axis at y = -1.

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