Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(0.97)^x
what is the % increase

Answers

Answer 1

Answer:

Step-by-step explanation:

As the number under the exponent is less than 1, this is a decay function.

y decreases by (1 - 0.97)100 = 3% for each unit increase in x

so the increase would be -3%


Related Questions

Each day, a restaurant serves x meals that consist of 1/4 of a chicken each. It also makes soup
using 1/2 of a chicken each day. The chef expresses the number of chickens she uses each day
1/4x+1/2. How many chickens does she use in three days?

Answers

Answer:

2 1/4

Step-by-step explanation:

Ivy bought a bike for $67.82. The sales tax was $4.79. How much money did Ivy spend on the bike before taxes?

Answers

Answer: $63.03

Step-by-step explanation:

$67.82 - $4.79 = 63.03

A. Determine the value of each function
1. For p(x)=-2x + 5, determine:
a. p(5)
b. p(0)
c. p(-1/2)

Answers

Answer:

a= -5

b=5

c=6

substitue each value as x

Would love it if your able to help me :)

Answers

Answer:

x = 2.83163

Step-by-step explanation:

Have a nice day!

and if you have questions on how I found it please ask.

Find the missing measurements

Answers

Answer:

O = 16.7 degrees

A = 73.3 degrees

Step-by-step explanation:

used a triangle calculator

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15
8
B
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1) Find the missing side length.
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A) 14
B) 16
18
D) 20
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Answers

Answer:

The answer would be 19

Step-by-step explanation:

Using pythagoras theorem

15+6= 21

a^2+b^2= c^2

In this scenario,

c^2-a^2= b^2

Meaning it would be 21^2+8^2

= 377

Square root of 377 would be 19.416

?= 19.416

The missing side length of the right angle triangle is 20

How to solve missing sides using Pythagoras theorem

Pythagoras theorem States that the square of the longest side of a triangle is equal to the sum of the square of the opposite side and no square of the adjacent side.

The diagram is a right angle triangle with sides AB, BC and CA.

The longest side is BC

BC² = AB² + CA²

(15 + 6)² = x² + 8²

21² = x² + 8²

21² - 8² = x²

441 - 64 = x²

377 = x²

find the square root of both sides

x = √377

x = 19.41648783894759891856148511263886343

Approximately to the nearest whole number

= 20

Learn more about Pythagoras theorem:

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Find the sum or difference. Enter the answer as a fraction, using the slash ()
as the fraction bar.

2/15+5/15

Answers

Answer:

7/15

Step-by-step explanation:

2/15 + 5/15 = 7/15

Hoped this helped.

A motorboat is capable of traveling at a speed of 14 miles per hour in still water. On a particular day, it took 15 minutes longer to travel a distance of 12 miles
upstream than it took to travel the same distance downstream. What was the rate of current in the stream on that day?

Answers

By solving a system of equations we will find that the rate of current in the stream is S = 2 mi/h.

When the motorboat travels downstream, the total velocity will be the velocity of the motorboat in still water plus the velocity of the stream, while if the motorboat travels upstream, we have the velocity of the stream subtracted.

So upstream the speed is:

(14 mi/h - S)

Downstream the speed is:

(14 mi/h + S)

Where S is the rate of current in the stream.

We know that downstream it takes 15 minutes more to travel 12 miles, then we can write the system of equations:

(14 mi/h + S)*T = 12 mi

(14 mi/h - S)*(T - 15 min) = 12 mi

To solve this, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = (12 mi)/(14 mi/h + S)

Replacing that in the other equation we will get:

(14 mi/h - S)*((12 mi)/(14 mi/h + S) - 15 min) = 12 mi

Now we can solve this for S. Now we can multiply both sides by (14 mi/h + S).

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 15 min) = 12 mi*(14 mi/h + S)

Also notice that the speeds are in hours, so we can rewrite:

- 15 min = -0.25 h

(14 mi/h - S)*12 mi  - (14 mi/h + S)*(14 mi/h - S)*(- 0.25 h) = 12 mi*(14 mi/h + S)

168 mi^2/h - 12mi*S  + 49mi^2/h + 0.25h*S^2 = 168mi^2/h + 12mi*S

- 12mi*S  + 49mi^2/h - 0.25h*S^2 = 12mi*S

-24mi*S -  0.25h*S^2  + 49mi^2/h = 0

This is a quadratic equation, the solutions are:

[tex]S = \frac{24mi \pm \sqrt{(-24mi)^2 - 4*(49mi^2/h)*(-0.25h)} }{2*-0.25h} \\\\S = \frac{24mi \pm 25 mi }{-0.5h}[/tex]

We only take the positive solution, so we get:

S = (24 mi - 25 mi)/(-0.5 mi) = 2 mi/h

The rate of current in the stream is 2 mi/h.

If you want to learn more, you can read:

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YALL PLS HELP ILL GIVE BRAINLIST I HAVE MATH IN 20 MIN PLS HELP

Answers

Answer:

so from one wheel side to the other is 27 inches it makes 15 rotations which means we would do 15 * 27 which is 405in

Step-by-step explanation:

Please help please please help me please help please please

Answers

Answer:

y - 6 = -3 ( x - 7)

Step-by-step explanation:

Use one of the points.

m is the slope

☆Answer : (X1, Y1) = (7, 6) (X2, Y2) = (11, -6)m = -3

Y - Y1 = m(X - X1)

y - 6 = -3(x - 7)

y - 6 = -3x + 21

y - 6 + 3x - 21 = 0

y - 27 + 3x = 0

3x + y - 27 = 0


Find the 13th term of the arithmetic sequence – 5x + 7, -11x + 5, -17x + 3

Answers

Answer:

maybe 13

Step-by-step explanation:

Six players compete in a tournament. Each player plays exactly two
games against every other player. In each game, the winning player
earns 2 points and the losing player earns 0 points. If the game results in
a draw (tie), each player earns 1 point. What is the minimum possible
number of points that a player needs to earn in order to guarantee that
he/she will be champion (i.e he/she has more points than every other
player)?

Answers

Step-by-step explanation:

6 players.

every player plays 2 games against every other player.

so, for each player there are 5 "other players" and everybody plays therefore 10 games.

the maximum number of points to get is 10×2 = 20 points.

the question is now not what is the minimum number of points a champion can have.

the question is rather what is the minimum number of points to guarantee the win of the championship no matter how the others played.

so, the study case scenario for the winner is to have only one real competitor for the title.

both players win every game against the other 4 players.

that is already 2×4×2 = 16 points.

and now it all depends on the 2 games against each other. to be sure, the winner needs at least 1 win and 1 tie in these 2 games. that are 3 more points.

so, to be absolutely sure, the champion needs to have at least 16+3 = 19 points.

The minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Every player plays 2 games against every other player.

Then there will be 5 players left who will 10 games

So, the maximum number of points = 10*2 = 20

winning player earns 2 points

as, both players win every game against 4 players.

which gives = 2×4×2 = 16 points.

Now, in remaining two game the  winner needs at least 1 win and 1 tie

which needs 3 more points.

Hence, the minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.

Learn more about unitary method here:

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#SPJ4

Which of the accounts below are considered accrued expenses?

Answers

Answer:

Accrued expenses are those liabilities that have built up over time and are due to be paid. Accrued expenses are considered to be current liabilities because the payment is usually due within one year of the date of the transaction. Accounts payable are current liabilities that will be paid in the near future.

Answer:

Wages expense, Interest expense

Step-by-step explanation:

a fingernail grows about 0.1 millimeter eachday how much does a fingernail grow in 90 days

Answers

Answer:

9 mm

Step-by-step explanation:

90*0.1=9

pretty sure it’s .9 mm

Just number three pls give right answer and will give brainless

Answers

Answer:

i think 34

Step-by-step explanation:

because thats the answer i got on calculator

an elevator descends 26 feet in 6s

Answers

Answer:

Starting position of mine shaft is = 10m above ground

but,

it moves in opposite direction so it travels the distance (-350 m ) below the ground.

Total distance covered by mine shaft = 10m - (-350m)

= 10 + 350

= 360m

Now, taken to cover a distance of 6m by it = 1 minute

Time taken to cover a distance of 1m by it = \frac{1}{6\ }\min

Therefore, tie taken to a cover a distance of 360m = \frac{1}{6}\times\ 360\ =\ 60\ \min\ \

60 minutes = 1 hour

thus, in one hour the mine shraft reaches = 350 below the ground

Step-by-step explanation:

This is the architectural plan for a fenced-in garden.
The shaded region represents an area for trees.
How long is the fence around the edge of the garden?
(Do not include the edge around the tree region.)

Answers

The fence around the edge of the garden is 17.86 m long.

The fence around the edge of the garden is the perimeter of the quarter circle. That is the length of the arc plus the two radii.

Since the radius is 5 units long, its length r = 5 m.

The length of the arc L = rθ where r = radius of quarter circle = 5 m and θ = angle subtended by the arc in radians = π/2 (90°)

So, the length of the fence L' = L + r + r

L' = L + 2r

L' = rθ + 2r

L' = r(θ + 2)

Substituting the values of the varaibles into the equation, we have

L' = r(θ + 2)

L' = 5 m(π/2 + 2)

L' = 5 m(1.571 + 2)

L' = 5 m × 3.571

L' = 17.855 m

L' ≅ 17.86 m

So, the fence around the edge of the garden is 17.86 m long.

Learn more about length of a fence here:

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someone please please help me

Answers

Answer:

11

Step-by-step explanation:

Mathematics questions are in the image, just answer them and no work included! i'll give brainlist to the most helpful answer!

Answers

1. 4

2. 6

3. 10

4. 30

5. 48

6. 55

7. 68

8. 148

9. 102

10. 38

Would appreciate brainly <3

pls help :) not understanding this thank you!!!

Answers

Answer: equals Z

Step-by-step explanation:

simple you do y divided by mass energy

. To do the ham số y = 3x - 3

Answers

Step-by-step explanation:

subject arts and architecture what primary

Use synthetic division to find the result when 3x^4 – 16x^3 + 29x^2 - 17x - 2 is divided by x – 2​

Answers

Answer:

2

Step-by-step explanation:

) 11. Last week, Raj camned $58. He spent $12 and saved the rest Nlichael earned 583 and Saved $20. Who saved the greater percent of his earnings​

Answers

Raj earned $58 and spent $ 12 so he saved( 58-12)= 45$ where Nicheal saved $20 so Raj saved more

I know that x + 2 is a factor of P(x) = 2x^{3} + 5x^{2} + 5x + 6, but I just don't know how to do the second half

Answers

Answer:

explain it again

Step-by-step explanation:

i don't understand

What is the slope of the line that passes through the points (−4,−1) and (18,−2) ?
A. − 3/14
B. 1 /14
C. 22
D. − 1/22

Answers

Answer:

D

Step-by-step explaination:

Can anyone help me answer this

Answers

Answer:

(-4;5)

Step-by-step explanation:

Replace x and y by each of the possible solution until the equation is true. here it is true for (-4 ; 5), because:

3 * (-4) - 2 * 5 = -12 - 10 = -22

A bag contains 8 white marbles, 4 green marbles and 3 blue marbles. 2 marbles are selected at random without replacement, find the probability both green

Answers

The probability of getting green is 4/15

For a certain company, the cost function for producing x items is C(x)=30x+150 and the revenue function for selling x items is R(x)=−0.5(x−90)2+4,050. The maximum capacity of the company is 130 items.
The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost function C(x) (how much it spends). In economic models, one typically assumes that a company wants to maximize its profit, or at least make a profit!



Answers to some of the questions are given below so that you can check your work.



Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .

Hint: Profit = Revenue - Cost as we examined in Discussion 3.

What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?

The company can choose to produce either 60 or 70 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 60 items =
Number


Profit when producing 70 items =
Number


Can you explain, from our model, why the company makes less profit when producing 10 more units?

Answers

Profit, revenue and cost are related, and can be calculated from one another.

The profit function is [tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]The domain of the profit function is x > 0The profit when producing 60 items is 1650The profit when producing 70 items is 1600

The cost function is given as:

[tex]\mathbf{C(x) =30x + 150}[/tex]

The revenue function is given as:

[tex]\mathbf{R(x) =-0.5(x -90)^2 + 4050}[/tex]

(a) Calculate the profit function

This is calculated using:

[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]

So, we have:

[tex]\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}[/tex]

Evaluate like terms

[tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]

(b) The domain of the profit function

When profit is 0 or less, then it becomes no profit.

Hence, the domain of the profit function is x > 0

(c) The profit for 60 and 70 items

Substitute 60 and 70 for x in P(x)

[tex]\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}[/tex]

[tex]\mathbf{P(60) =1650}[/tex]

The profit when producing 60 items is 1650

[tex]\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}[/tex]

[tex]\mathbf{P(70) = 1500}[/tex]

The profit when producing 70 items is 1600

(d) Why producing 10 more units less profit

When a function reaches the optimal value, the value of the function begins to reduce.

This means that, producing 10 more units takes the profit function beyond its maximum point.

Read more about profit, cost and revenue at:

https://brainly.com/question/11384352

Ivy bought a bike for $67.82. The sales tax was $4.79. How much money did Ivy spend on the bike before taxes?

Answers

Answer:

Step-by-step explanation:

$63.03 money

A red die and a blue die are thrown. What is the probability that the red die comes up 5 or the sum on the two dice is less than four (or both)

Answers

Answer:

vA woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)A woman wants to measure the height of a nearby building. She places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building's shadow is 184 ft, and the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot. (The figure is not drawn to scale.)

Step-by-step explanation:

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