Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.

Y= 30(1.003)^x

Answers

Answer 1

For the given exponential function, the change represents a growth  and the percentage rate is 0.3%.

Exponential Function

The formula for the exponential function is:

[tex]y(t)=y(0)*(1+R)^t[/tex], where:

y(t)= final value

yo=initial value

R=rate

t= time

When 1+R  > 1, the equation represents growth, while 1+R < 1 the equation represents decay.

The question gives:  [tex]y=30*(1.003)^x[/tex].

When you compare [tex]y=30*(1.003)^x[/tex]with [tex]y(t)=y(0)*(1+R)^t[/tex], it is possible to see:

1. 1+R=1.003, so >1 . Therefore, the change represents growth.

2. 1+R=1.003 , therefore,

                           1.003=1+R

                          R=1.003-1

                          R=0.003

                          then,

                       

                         %R=0.003*100=0.3%

                         

Read more about the exponential function here:

https://brainly.com/question/8935549


Related Questions

ILL GIVE 40 POINTS!!

Which of the following numbers can be expressed as a decimal that terminates?

seven over four, five over nine, three over eight, two over three

seven over four and three over eight
five over nine and two over three
seven over four and five over nine
three over eight and two over three

Answers

Answer:

1.First = Seven over four and three over eight

because The denominators of 9 and 3 were not divisible by any of the tenths, hundredths, thousandths, etc.

Step-by-step explanation:

A terminating decimal, true to its name, is a decimal that has an end. For example, 1 / 4 can be expressed as a terminating decimal: It is 0.25. In contrast, 1 / 3 cannot be expressed as a terminating decimal, because it is a recurring decimal, one that goes on forever. In other words, as a decimal 1/3 is 0.33333…..

Answer:

Seven over Four is one of the best answers

Please someone I need a clear answer for this question

Answers

Answer:

I think it is a function

Step-by-step explanation:

Answer:

It is NOT a function.

Each input is paired with EXACTLY ONE output.

what is combined sewer overflow​

Answers

Answer:

A combined sewer is a sewage collection system of pipes and tunnels designed to simultaneously collect surface runoff and sewage water in a shared system.

If two parallel lines are cut by a transversal, which angle pairs are NOT congruent?

Group of answer choices

alternate interior angles

alternate exterior angles

corresponding angles

consecutive (same side) angles

Answers

Answer:

corresponding angles

Hope this helps

Answer:

[tex] \bold \red{correct \: answer}[/tex]

consecutive (same side )angles

Step-by-step explanation:

alternative exterior and interior angles and corresponding angles are equal and congruent.

Susan joined a video rental club. She paid an initiation fee of $12.75, and it cost
$0.75 per video that she rented. One month, Susan paid a total $105.75 to rent
(v) videos. Write an equation that represents this situation.

Answers

Answer:

(v)= 0.75+12.75

Step-by-step explanation:

if the cost to rent a video game is 0.75 then you put the .75 after the (v) because each video costs 0.75 to rent, then it says she paid another cost to an initiation fee, so you then add that cost onto the rent fee.

help me answer this i need it

Answers

Answer:

0.25 cm

Step-by-step explanation:

24÷0.60 = 40

doneeee..

Shannon burns 46 calories each hour while sleeping. When she plays basketball, she burns 11 times as many calories as she does when sleeping. She burns twice as many calories each hour when she runs than when she plays basketball. How many calories does Shannon burn when she runs for 1 hour? Enter the correct number in the box.

Answers

Answer: 1012 calories

Step-by-step explanation:

Shannon burns 46 calories each hour while sleeping.

When she plays basketball, she burns 11 times as many calories as she does when sleeping. The amount of calories burnt when she plays basketball will be:

= 11 × 46

= 506 calories

She burns twice as many calories each hour when she runs than when she plays basketball. The amount of calories burnt when she runs will be:

= 2 × 506 calories

= 1012 calories

The amount of calories that Shannon burn when she runs for 1 hour will be 1012 calories

Which equation has a constant of proportionality equal to 3
A) y=8/5x
B) y=1/3x
C) y=1/4x
D) y=18/6x

Answers

Answer:

I think it would be b

Step-by-step explanation:

the answer is b I think

who can help with my math homework?? PLEASE

Answers

Answer:

What type of math is it

Step-by-step explanation:

Helpppp please homework for Geometry

Answers

Answer:

2,304

Step-by-step explanation:

Formula:
LxWxH

18x16x8

2,304

“The 8th term of the sequence 781250, 156250, 31250…….is 10”

True or false ? HELPP PLS ITS DUE IN 27 MINS

Answers

This will take roughly 3 minutes,

First i'm assuming this is an arithmetic sequence since using the recurring formula;

156250=781250+d

where d is the common difference

d=-625000

Using the implicit relation we can then say;

u(N)=u⁰+nd

where are looking for u⁷ since our first term is u⁰, second is ....8th is u⁷

u(7)=781250-6250000

u(7)=-5868170

No it's not 10 if this is arithmetic sequence.

If this sequence is geometric then,

r=156250/781250

r=1/5

So we're diving by 5

we can use the implicit relation which states:

u(n)=u⁰r^n

u(7)=781250×1/5^7

u(7)=10

THIS IS A GEOMETRIC SEQUENCE AND THE 8TH TERM IS 10 SO THIS THIS TRUE HURYY

One of the legs of a right triangle measures 13 cm and its hypotenuse measures 18 cm. Find the measure of the other leg

Answers

Answer: sqrt(155)

Step-by-step explanation:

consider the following diagram

Answers

there is no diagram, you need to insert a picture with your question so people can help you

Tasha believes that she can rewrite the difference 120 − 84 as a product of the GCF of the two numbers and another difference. Is she correct? Complete the explanation. She is not correct. The GCF of 120 and 84 is 12 . So 120 − 84 can be written as 12 × 10 − × , which is × (10 − ) or × = .

Answers

Step-by-step explanation:

GCF is greatest common factor. It is also termed as HCF.

Firstly we write the factors of 120 and 84

120 = 2×2×3×5×2

84 = 2×2×3×7

HCF of 120 and 84 = 12

ATQ,

Tasha believes that she can rewrite the difference 120 − 84 as a product of the GCF of the two numbers and another difference. Let's try to write like this.

120-84 = (12×10-12×7)  [using the distributive property]

= 12(10-7)

It means that the difference 120 − 84 as a product of the GCF (i.e. 12) of the two numbers and another difference (i.e. 10-7). Hence, she is correct.

Please help me find the slope and y-intercept of this equation. And please tell me if it is proportional or not. THANK YOU!

Answers

Answer:

m = -3/4, b = 8, proportional, negative slope

Step-by-step explanation:

Pls helpppp on this question

Answers

Answer: Part A - C, Part B - 12 pieces

Step-by-step explanation:

Part A:

We know that 1/4 of Meredith's sub is bigger than 1/4 of Jim's sub, so we can set up an inequality.

Let Meredith's sub size = m; Jim's = j

Therefore, 1/4*m > 1/4*j

We can multiply both sides by 4:

m > j

Thus, the correct answer is C

Part B:

Since he had 1/4 of it left, that means he at 1 - 1/4 of it = 3/4 of his sub.

We can calculate the value of 3/4 * 16 = 12 pieces

What is the image (-2,-3) after a reflection over the line y = x

Answers

(-3,2) bc that is the reflection of the two number all you do is baically flip the numbers

hopefully this helps :)

Segment AB is tangent to C. Find AB.

what does AB =
Round to the nearest tenth as needed

Answers

Hope it’s helps you!!
Good luck! ♡

A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.

If the park is shown as a square on the map, each side of which is one foot long, how long is each side of the square park?
If a straight path in the park is 900 feet long, how long would the path be when represented on the map?

Answers

Answer:

4 1/2 percent inch at the other side

17 is a prime number. What can you conclude from this?
AIt can be divided evenly by 2 incorrect answer
BIt can't be used as the denominator of a fraction incorrect answer
CIt can't be multiplied by any other number incorrect answer
DIts only factors are 1 and itself incorrect answer

Answers

Answer: Choice D

Its only factors are 1 and itself

Explanation:

There's not much more to mention since choice D perfectly describes what it means to be prime.

The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, ...

There are infinitely many prime numbers.

The answer is D. 17 is a prime number. Its only factors are 1 and itself

Kelly buys 3.5 gallons of gas.the gas cost $3.74 per gallon. Kelly wants to find the total cost of the gas. What is the total cost of the gas Kelly buys? HELP ME PLS GUYS AND FAST!!!

Answers

Answer:

$13.09

Step-by-step explanation:

     If Kelly buys 3.5 gallons of gas, we can multiple each gallon by the price of the gas since the cost is given to us price per gallon.

3.5 gallons * $3.74 = $13.09

evaluate 4x ÷ y when x = 4 and y = -2​

Answers

Answer:

8

Step-by-step explanation:

4x=16

-16/-2

8

Brainliest Please!

Answer: -8

(I saw an answer that said 8 but it’s -8)

Step-by-step explanation: x=4 y= -2

4(4) / -2

16/ -2

-8

120 as a product of prime

Answers

Answer:

Your answer is:

The Prime: 2 x 2 x 2 x 3 x 5

Exponential: 2^3 x 3^1 x 5^1

CSV: 2, 2, 2, 3, 5

Step-by-step explanation:

Hope this helped : )

K = (x:x is a day of the week starting with the letter "T")​ please answer the question fast

Answers

Answer:

I think

K = {Tuesday and Thursday}

Brainliest please

is the cost of 1 dozen of pens is rupees 100 find the cost of 10 pens .
i need hurry
step by step
process by process
who will tell correct answer i will make him/her as a brainlists ​

Answers

Answer:

Rs. 83.33

Step-by-step explanation:

cost of a pen = Total cost / total quantity

= 100/10

= Rs. 8.33/pen

Total cost for 10 pens = Cost per pen x quantity

= Rs.8.33 x 10

= Rs. 83.33 Ans

Please can someone help me with this!

1. Identify the slope of the graph linear function.

2. Find the zero of the linear function.
A- (-3,0)
B-none
C-(0,-3)

Answers

Answer: 1) Zero

2) B. None

Step-by-step explanation: The slope of any horizontal or vertical straight line is always going to be zero because it stays constant.

There are no zeros of the linear function because it does not cross the x-axis.

What is the equation of the line that passes through the point (-3, 4) and has a
slope of 2/3?

Answers

Answer:

y=2/3x+6

Step-by-step explanation:

The equation of a line is y=mx+b

We can plug in our givens

4=2/3*-3+b

4=-2+b

6=b

y-intercept is going to be 6

So, y=2/3x+6

Heather and Amanda each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same storm. Heather spent $50 on 2 rose bushes and 3 geraniums. Amanda spent $186 on y rose bushes and 12 geraniums. What is the cost of one bush and one geranium?

Answers

Answer:

one Bush costs $19 and one geranium costs $6

Step-by-step explanation:

Let the cost of one Bush be x

Let the cost of one geranium be y

If Heather spent $50 on 2 rose bushes and 3 geraniums, then the equation that represent the statement is:

2x+3y = 50….... 1

If amanda spent $186 on 6 rose bushes and 12 geraniums, then the equation representation will be:

6x+12y = 186…......2

Solve equations 1 and 2 simultaneously

2x+3y = 56..... 1 × 3

6x+12y = 186 ..... 2 × 1

.......…............

6x+9y = 168

6x+12y = 186

Subtract

9y - 12y = 168-186

-3y = -18

y = -18/-3

y = 6

Substitute y = 6 into equation 1:

2x+3y = 56

2x+3(6) = 56

2x+18 = 56

2x = 56-18

2x = 38

x = 38/2

x = 19

Hence one Bush costs $19 and one geranium costs $6

NB: note that the y rose bushes in the question was corrected and 6 rose bushes was used instead in the equation.

plz help! what is the end of behavior of f(x)?

Answers

Answer:

B

Step-by-step explanation:

The end behavior of a function is how the graph behaves as it approaches negative and positive infinity.

Let's take a look at each end.

As x approaches negative infinity:

As x approaches the left towards negative infinity, we can see that the graph is shooting straight upwards.

Therefore, as [tex]x\rightarrow-\infty[/tex], our function f(x) is increasing and increasing up towards positive infinity.

Therefore, the end behavior at the left will be:

[tex]\text{As } x\rightarrow-\infty, f(x)\rightarrow\infty[/tex]

As x approaches (positive) infinity:

As x approaches the right towards positive infinity, we can see the that graph is also shooting straight upwards.

Therefore, the end behavior will be exactly the same. As x approaches positive infinity, f(x) also approaches positive infinity.

Therefore, the end behavior at the right will be:

[tex]\text{As } x\rightarrow \infty, f(x)\rightarrow \infty[/tex]

Therefore, our answer is B.

solve for x and y 7x + 5y = 12 and 7y - 2x = 11​

Answers

your answer is 3/2=1.5

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