Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=570(0.98)^x

Answers

Answer 1

Answer:

decay2% decrease

Step-by-step explanation:

The growth factor is the base of the exponent: 0.98. Its relation to the rate of change is ...

  growth factor = 1 + rate of change

  0.98 = 1 + (-0.02)

So, the rate of change is -0.02 = -2%. Since the rate of change is a 2% decrease, it represents decay.


Related Questions

5) Determine o conjunto solução da equação: x² + 12x - 189 = 01 ponto{ - 21, 9}{ 21, -9 }{ 21 }{ - 9 }​

Answers

Answer:

x = 9 or x = -21

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + 12 x - 189 = 0

The left hand side factors into a product with two terms:

(x - 9) (x + 21) = 0

Split into two equations:

x - 9 = 0 or x + 21 = 0

Add 9 to both sides:

x = 9 or x + 21 = 0

Subtract 21 from both sides:

Answer: x = 9 or x = -21

Is 63 greater than 48.1 or less than

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)​

Answers

Answer:

63 is greater than 48.1 ...

63 > 48.1

Step-by-step explanation:

63 is greater than 48 remember. So you need to remove the [.1] and focus on the 63 and 48.

Hope it helps!!Please mark me as the brainliest!!!

Thanks!!!!

:)
Answer: 63 is greater than 48.1

Explanation:

63.0 > 48.1

Even though .0 < .1 but 63 > 48

So therefore, 63 > 48.1

The graph below represents which of the following functions?

Answers

Answer:I believe the answer is C

Step-by-step explanation:

The y-intercept is 2

Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday. What fraction of the fliers did she give out on Wednesday? Use a diagonal fraction bar in your answer. Explain how you found the answer

Answers

Answer:

0.66

Step-by-step explanation:

Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday.

Total fliers shared= 85+66+99

Total fliers shared= 250 fliers

Fraction of the fliers she gave out on Wednesday= fliers on Wednesday/total fliers

=99/150

= 33/50

= 3.3/5

= 0.66

Answer:

0.66

Step-by-step explanation:

2. Find the solution to the following system of eguations using the addition method
4x - 5y = 13

X + 5y = -3

Answers

Answer: (2, -1)

Explanation: Since one equation has a -5y and the other equation

has a +5y, when we add the equations together, the y's will cancel out.

So we have 5x = 10 and x = 2.

To find y, plug 2 back in for x in either of the two original equations.

I have chosen to plug 2 into the second equation to get (2) + 5y = -3.

Solving from here, y = -1.

So our final answer is the ordered pair (2, -1).

Now, check your answer.

206 MAI
ALEKS Probabilities of draws with replacement
Toples
? SAMPLE QUESTION
A fair die is rolled 6 times. What is the probability of having no 4 and no 5 among
places.
(If necessary, consult a list of formulas.)
3

Answers

Step-by-step explanation:

Two of the sides are 4 and 5.  The other four sides are 1, 2, 3, and 6.

The probability of rolling a number other than 4 or 5 on any roll is 4/6, or 2/3.

The probability of rolling no 4s or 5s six times is:

P = (2/3)⁶

P ≈ 0.088

1. Write the ratio 2/3 to 8 as a fraction in simplest form.

Answers

Answer:

2/3 +8/3=10/3

Step-by-step explanation:

here is a histogram of the yearly number of unprovoked attacks by alligators. what is the overall distributions

Answers

Answer:

Hello your question has some missing parts attached is the missing part

answer : slightly skewed to the right ( B )

Step-by-step explanation:

From the attached histogram related to the question above, it can be seen that the the right tail is longer than the left tail and this can help us draw the conclusion that the overall shape of the distribution is slightly skewed to the right

Determine the level of measurement of the variable.Livability rankings for cities Choose the correct level of measurement.A. Ratio.B. Ordinal.C. Nominal.D. Interval.

Answers

Answer:

B. Ordinal

Step-by-step explanation:

The level of measurement used for a variable in statistical analysis determines what summary statistics and analysis are possible. In statistical analysis, we have three types of level of measurement.

Nominal , Ordinal  , Interval/ Ratio

The nominal is the most basic level of measurement. It is the  qualitative level of measurement such as color or number.  Data in Nominal scale of measurement are  stored as a word or  as numerical code.

Ordinal level of measurement  are variables based on ranks or hierarchy. Ordinal level of measurement posses a sequential step-wise order but the intervals between the variables are not  equal. They are usually expressed in frequencies.

Therefore, the level of measurement of variable that determines the livability rankings for cities based on their ranks or hierarchy is Ordinal.

The interval/ratio level of measurement  is the highest  level of measurement where  data are  being measured and ordered in a sequential process.

Help me please thank you

Answers

Answer:

y = 120º

Step-by-step explanation:

180 - (33 + 87) = 60

x = 60

180 - 60 = 120

y = 120º

or y = 33 + 87, because the outer angle of one angle equals the other two inner angles.

Answer: 120°

Step-by-step explanation:

If you add up all the triangles angles, it always is 180. So, when you add 33+87, you get 120. This means that x=60 because 120+60 =180.

Then, you also know that x and y together, make a 180° also because it is a straight line. So, y is equal to 120° because 60+120 = 180°.

Hope this helps! :)

angel buys a 12-pack of granola bars for $9. What is the unit price?

Answers

Each granola bar cost $1.33 repeating.

Answer:

If 12 granola bars are nine dollars,

(12/9)

We divide the amount by the price!

Twelve divided by nine is about $1.33.

The image is rounded to the nearest thousandth

What is the factored from of the polynomial. x^2 + 9x + 20

Answers

Answer:

Step-by-step explanation:

Hello, the sum of the roots is -9=-4-5 and the product is 20=(-4)*(-5) so we can write

[tex]x^2+9x+20=(x+4)(x+5)[/tex]

thanks

Answer:

( x + 4 ) ( x + 5 )

Step-by-step explanation:

For this polynomial, we will factor the coefficient of the x^2 term and the constant.

The coefficient of x^2 is 1, which just factors to 1.

The constant 20 factors into 2 * 2 * 5.

Note, that our middle term coefficient is 9 and thus we want a pairing of 1 with either 2, 4, or 5 to make 9.   4 + 5 = 9, so we will choose that.

Using the standard binomials, we will factor the polynomial:

( x^2 + 9x + 20 )

= ( x + 4 ) ( x + 5)

We can check by performing foil:

= ( x + 4 ) ( x + 5 )

= ( x * x + x * 5) + ( 4 * x + 4 * 5)

= ( x^2 + 5x ) + ( 4x + 20 )

= ( x^2 + 9x + 20 )

Thus, we have successfully factored our polynomial.

Cheers.

Simplify the expression 5^3•5^-5

Answers

Answer:

5^8

Step-by-step explanation:

[tex]5^3\times\:5^5\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times\:a^c=a^{b+c}\\5^3\times\:5^5=5^{3+5}\\\\=5^8=390625[/tex]

The solution of the expression will be 5⁻².

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 5³ x 5⁻⁵. The expression will be solved as below,

E = 5³ x 5⁻⁵

E = 5³⁻⁵

E = 5⁻²

Hence, the expression will be E = 5⁻².

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10 pts
Point K (-2,-3) is translated (x + 5, y-7). What are the coordinates K?

Answers

The answer is (3,-10)

Answer: (3,-10)

Step-by-step explanation:

Using the translated rule that x is increase by 5 and y  is decreased by 7 put it into the equation and solve for  the coordinates of k.

(-2 +5 ) = 3

(-3 -7) = -10

So now the coordinates will be (3,-10)

The grade received on a certain teacher's 100-point test varies in direct proportion to the amount of time a student spends preparing for the test. If a student receives 72 points on a test for which she spent 3 hours preparing, what score would she receive on the next test if she spent 4 hours preparing?

Answers

Answer:

The teacher woll award the student 96 points for studying for 4 hours

Step-by-step explanation:

The student receives 72 point for preparing a test as long as 3 hours.

If she prepares for another test for 4 hours.

3 hours= 72 points

4 hours=( 72*4)/3

4 hours=72/3 *4

4 hours = 24*4

4 hours= 96 points

The teacher woll award the student 96 points for studying for 4 hours

Data was collected for 221 randomly selected 10 minute intervals. For each ten-minute interval, the number of people entering the atrium of a large mall were recorded. The data is summarized in the table below. Number of Guests Frequency 100 – 119 45 120 – 139 76 140 – 159 56 160 – 179 17 180 – 199 27 What is the class width for this GFDT?

Answers

Answer:

20

Step-by-step explanation:

From the above question, we were given the following information:

Number of Guests = Frequency

100 – 119 = 45

120 – 139 = 76

140 – 159 = 56

160 – 179 = 17

180 – 199 = 27

Class width can be defined as :

The difference between the upper limits of two consecutive classes, or the difference between the lower limits of two consecutive classes.

The class width for this GFDT : 139 - 119

= 20

Write a real world situation the would represent -5 + -2 +3 = -4

Answers

Molly is in debt and owes the bank 5$, molly then buys a ice cream cone for 2$ with her credit card so now she is 7$ in debt aka she has -7 dollars in the bank. Molly then gives the bank 3$ in cash but she still owes the bank 4 dollars

A child walks due east on the deck of a ship at 3 miles perhour.
The ship is moving north at a speed of 16 miles per hour.
Find the speed and direction of the child relative to thesurface of the water.
Speed = mph
The angle of the direction from the north = (radians)

Answers

Answer:

16.28 mph ; 79.38°

Step-by-step explanation:

Given the following :

Speed of child due east = 3mph

Speed of ship due North = 16mph

Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus

Relative Speed = Sqrt(3² + 16²)

Relative Speed = sqrt(9 + 256)

= sqrt(265)

= 16.2788 mph

= 16.28 mph

From trigonometry ;

Tanθ = opposite / Adjacent

Tanθ = (16 / 3)

Tanθ = 5.333

θ = tan^-1(5.333)

θ = 79.379°

θ = 79.38°

Change 64 hours to minutes

Answers

Answer:

3840 minutes

Step-by-step explanation:

60x64= 3840

can i have the brainliest, please????

Answer:3840 minutes

Step-by-step explanation:

there is 60 min in an 1 hr so there for you can multiple 64x60 which equals 3840

mean of 7
observations was calculated as 40. It was detected on rechecking that the value 63 was
wrongly copied as 36. Find the correct mean?​

Answers

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Because 63 is a multiple of 7

So.... 63/7

=9

So this shows us 9 is the mean

HOPE IT HELPS YOU!

PLEASE MARK ME AS BRAIN LIST IF MY ANSWER IS HELP FUL

To which set of numbers does -15 belong to? Select all apply.

Answers

Answer:

Integer

Step-by-step explanation:

On every number line we have both negative and positive numbers. So negative 15 is an integer

Is 93.43 an integer or not

Answers

Answer:

The answer is no

Sam had 225 dollars to spend on 8 books. After buying them he had 17 dollars. How much did each book cost?

Answers

Answer:

Each book costs 26 dollars

Step-by-step explanation:

Let b be the price of each book

8*b +17 = 225

Subtract 17 from each side

8b+17-17 = 225-17

8b =208

Divide by 8

8b/8 = 208/8

b =26

Each book costs 26 dollars

Work your brain today y'all!!
I had $3.00.
My Mom gave me $10.00.
My Dad Gave me $30.00.
My Aunt & Uncle gave me $100.00.
I had another $7.00.
How much did I have?
Right answer will get deleted.
I won against: I stole this post or sure the answer...

Answers

Answer:

We need to add to the $3.00 we have at the start, what they gave him:

He started with $3.00 and received $10.00:

3.00 + 10.00 = $13.00

Then (when having $13.00) received $30.00:

13.00 + 30.00 = $43.00

Then (when having $43.00) received $100.00:

43.00 + 100.00 = $143.00

Then (when having $143.00) he had another $7.00:

143.00 + 7.00 = $150.00

The answer is $150

I initially had $3

My mom gave me $10

= $10+$3

= $13

My dad gave me $30, my aunt and uncle also gave me $100

= $100+$13+$30

= $143

I had another $7

= $7 + $143

= $150

This makes it a total of $150

Hence the amount i have is $150

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( -7v 4 - 5v ) - ( -5v 3 - 2v ) + ( -7v - 6v 4 - 4v 3 ) simplified

Answers

Answer:

-13v^4 + v^3 - 10v (if simplified)

Step-by-step explanation:

combine like terms

(-7v^4 - 5v) - (-5v^3 - 2v)+ ( - 7v - 6v^4 - 4v^3)

-7v^4 + -6v^4 = -13v^4

-5v^3 + -4v^3 = v^3 (the five becomes positive because of the negative sign infront of the parenthesis) Example: -(-5v^3) = +5v^3

-13v^4 + v^3 -5v -(-2v) -7v (now we have the -2 left alone in the parenthesis which means it becomes positive too) Example: -(-2v) = +2v

-5v +2v - 7v = -3v -7v = -10v

Answer: -13v^4 + v^3 - 10v

Find the direction cosines and direction angles of the vector. (Give the direction angles correct to the nearest degree.) 5, 1, 4

Answers

Answer:

The direction cosines are:

[tex]\frac{5}{\sqrt{42} }[/tex], [tex]\frac{1}{\sqrt{42} }[/tex]  and  [tex]\frac{4}{\sqrt{42} }[/tex]  with respect to the x, y and z axes respectively.

The direction angles are:

40°,  81° and  52° with respect to the x, y and z axes respectively.

Step-by-step explanation:

For a given vector a = ai + aj + ak, its direction cosines are the cosines of the angles which it makes with the x, y and z axes.

If a makes angles α, β, and γ (which are the direction angles) with the x, y and z axes respectively, then its direction cosines are: cos α, cos β and cos γ in the x, y and z axes respectively.

Where;

cos α = [tex]\frac{a . i}{|a| . |i|}[/tex]               ---------------------(i)

cos β = [tex]\frac{a.j}{|a||j|}[/tex]               ---------------------(ii)

cos γ = [tex]\frac{a.k}{|a|.|k|}[/tex]             ----------------------(iii)

And from these we can get the direction angles as follows;

α =  cos⁻¹ ( [tex]\frac{a . i}{|a| . |i|}[/tex] )

β = cos⁻¹ ( [tex]\frac{a.j}{|a||j|}[/tex] )

γ = cos⁻¹ ( [tex]\frac{a.k}{|a|.|k|}[/tex] )

Now to the question:

Let the given vector be

a = 5i + j + 4k

a . i =  (5i + j + 4k) . (i)

a . i = 5         [a.i is just the x component of the vector]

a . j = 1            [the y component of the vector]

a . k = 4          [the z component of the vector]

Also

|a|. |i| = |a|. |j| = |a|. |k| = |a|           [since |i| = |j| = |k| = 1]

|a| = [tex]\sqrt{5^2 + 1^2 + 4^2}[/tex]

|a| = [tex]\sqrt{25 + 1 + 16}[/tex]

|a| = [tex]\sqrt{42}[/tex]

Now substitute these values into equations (i) - (iii) to get the direction cosines. i.e

cos α = [tex]\frac{5}{\sqrt{42} }[/tex]

cos β =  [tex]\frac{1}{\sqrt{42} }[/tex]              

cos γ =  [tex]\frac{4}{\sqrt{42} }[/tex]

From the value, now find the direction angles as follows;

α =  cos⁻¹ ( [tex]\frac{a . i}{|a| . |i|}[/tex] )

α =  cos⁻¹ ( [tex]\frac{5}{\sqrt{42} }[/tex] )

α =  cos⁻¹ ([tex]\frac{5}{6.481}[/tex] )

α =  cos⁻¹ (0.7715)

α = 39.51

α = 40°

β = cos⁻¹ ( [tex]\frac{a.j}{|a||j|}[/tex] )

β = cos⁻¹ ( [tex]\frac{1}{\sqrt{42} }[/tex] )

β = cos⁻¹ ( [tex]\frac{1}{6.481 }[/tex] )

β = cos⁻¹ ( 0.1543 )

β = 81.12

β = 81°

γ = cos⁻¹ ( [tex]\frac{a.k}{|a|.|k|}[/tex] )

γ = cos⁻¹ ([tex]\frac{4}{\sqrt{42} }[/tex])

γ = cos⁻¹ ([tex]\frac{4}{6.481}[/tex])

γ = cos⁻¹ (0.6172)

γ = 51.89

γ = 52°

Conclusion:

The direction cosines are:

[tex]\frac{5}{\sqrt{42} }[/tex], [tex]\frac{1}{\sqrt{42} }[/tex]  and  [tex]\frac{4}{\sqrt{42} }[/tex]  with respect to the x, y and z axes respectively.

The direction angles are:

40°,  81° and  52° with respect to the x, y and z axes respectively.

The ______ can be used to determine whether the graph a relation is a function.​

Answers

Answer:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Step-by-step explanation:

Raphael's neighborhood kid's pool is shaped like a square with an area of 120 ft2. What is the approximate side length of the pool?

Answers

Answer:

10.95 or 11 if rounded up

Step-by-step explanation:

The side length of a pool shaped like a square with an area 120ft² is

S = [tex]\sqrt{120}= 10.954[/tex]

Side of a square:

Given,

Raphael's neighborhood kid's pool is shaped like a square.Area of the pool = 120 ft²

 Let side of the pool = S

      Area of the pool = S² = 120

      Hence, the side of the pool = S = [tex]\sqrt{120}= 10.954[/tex] ft

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Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary of $775 per week. How much did she earn last week if she sold $4,300 in electronics merchandise? Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

  $1108.25

Step-by-step explanation:

Danielle's commission on $4300 in sales is ...

  0.0775 × $4300 = $333.25

That, added to her base salary, gave her weekly earnings of ...

  $333.25 +775 = $1108.25 . . . . Danielle's pay last week

Find the slope of the line that passes through each pair of points. Express as a fraction in simplest form.
(-9,-11), (6,3)

Answers

6/8 skkssbjsjdsdhdhbddbd dhhdhshshs

Answer:

14/15

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

   = ( 3 - -11)/( 6 - -9)

    = ( 3+11)/( 6+9)

    = 14/15

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