Identify the initial amount a and the growth or decay factor b in the exponential function.

y = 0.01025x


A. a = 100, b = 1.025

B. a = 1, b = 0.01025

C. a = x, b = y

D. a = 0.01025, b = 1

Answers

Answer 1

Answer:

D. [tex]a = 0.01025[/tex], [tex]b = 1[/tex]

Step-by-step explanation:

Mathematically speaking, an exponential function is a trascendental function of the form:

[tex]y = a^{b\cdot x}[/tex] (1)

Where:

[tex]a[/tex] - Initial amount.

[tex]b[/tex] - Growth factor.

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

Let [tex]y = 0.01025^{x}[/tex], by direct comparison we find that values for initial amount and growth factor are, respectively:

[tex]a = 0.01025[/tex], [tex]b = 1[/tex]

Therefore, correct answer is D.


Related Questions

answered
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE

Answers

The First equation and the Third Equation

are equivalent to 6x - 24.

1) 6 ( x - 4 )

3)3 ( 2x - 8 )

Answer:

first one and third one. hope u get it right!

Step-by-step explanation:

6(x-4)

distribute (6*x and 6*4) then it equals 6x - 24

2(3x - 24) = 6x - 48

3(2x - 8) = 6x - 24

3(3x - 21) = 9x - 63

Can someone help with this math problem? 3 (x+6) = 27

Answers

Answer:

x = 3

Step-by-step explanation:

Use distributive property: a(b +c) =(a*b) + (a*c)

3(x + 6) = 27

3*x + 3*6 = 27

3x + 18  = 27 {Subtract 18 from both sides}

3x + 18 -18 = 27 - 18

         3x    = 9  {Divide both sides by 3}

        3x/3 = 9/3

x = 3

Find the annual interest rate. i=$160, P=2000, t=8 months

Answers

Answer:

0.12 or 12%

Step-by-step explanation:

I=Prt

r= I/(Pt)

r = 160/(2000 x 8/12)

r = 160/(4000/3)

r = 3/25

r = 0.12

write the numeral that means the same as "three hundred fifty-two billion, six hundred thirty- five million"

Answers

Answer:

352,635,000

Step-by-step explanation:

Add 84.0393 and 231.6581 and round the sum to the nearest hundredths and thousandths​

Answers

315.70 rounded to nearest hundredth
315.697 rounded to nearest thousand
The sum is: 315.6974

what is 0.24% as a decimal

Answers

Answer:

.0024

Step-by-step explanation:

Hey There!

So when converting a percentage to a decimal all we have to do is move the decimal place over to the left 2 times

so it would be .0024

hope this helps ~ MarkAnswers

Answer:

0.0024

Step-by-step explanation:

0.24% = 0.0024 in decimal form. Percent means 'per 100'. So, 0.24% means 0.24 per 100 or simply 0.24/100.

i hope this helps!! brainliest?


Mrs. Hart asked her class "How many groups of 2/3 are in 7?" Hanna answered "There are 5 and 1/2 groups of 2/3 in 7" Do you agree or disagree with
Hanna? Be sure to explain your answer

Answers

Answer:

ok thx for my points back

Step-by-step explanation:

PLEASE HELP ME I’LL MARK YOU AS BRAINLIEST


The number of copies of a book sold the year it was released was 600,000. Each year after that, the number of copies sold decreased by half.


Write an equation representing the number of copies, c, sold y years after the book was released.

Answers

Answer:

[tex]c \div \frac{1}{2}y = x \\[/tex]

y = 1

Step-by-step explanation:

600,000 ÷ 1/2 = 300,000

c = 600,000

y = 1/2

x = 300,000

Answer:

600000(.5)^y

Step-by-step explanation:

A partir del 1.° de diciembre, un camión de helados visita la calle de Sara cada 3 días y la calle de Ema cada 5 días. ¿Cuáles son los primeros 2 días que el camión visita ambas calles el mismo día?

Answers

Answer:

Los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.

Step-by-step explanation:

Los múltiplos de un número son todos los posibles resultados de multiplicar ese número por todos y cada uno de los números naturales.

Es decir, los múltiplos de un número natural son los números naturales que resultan de multiplicar ese número por otros números naturales.

El conjunto de los múltiplos de un número determinado (salvo el cero) es infinito, pues existen infinitos naturales para multiplicar.

Para determinar cuáles son los primeros 2 días que el camión visita ambas calles el mismo día, debes encontrar los múltiplos de 3 y 5:

múltiplos de 3: 3; 6; 9; 12; 15; 18; 21; 24; 27; 30

múltiplos de 5: 5; 10; 15; 20; 25; 30; 35; 40; 45; 50

Podes observar que los 2 primeros números comunes o que coinciden entre los múltiplos de 3 y 5 son 15 y 30. Esto quiere decir que los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.

find the volume of the square pyramid, given its slant height​

Answers

Answer:

Step-by-step explanation:

base length b = 32 cm

slant height L = 30 cm

 

height h = √(L²-(½b)²)

= √(30²-0.25·32²)

≅ 25.3771550809 cm

 

volume V = (⅓)b²h

= (⅓)32²·25.38

≅ 8662.07 cm³

Help me!?!
I’ll give you 5 stars?!

Answers

Answer:

i think its b 68 because if you add al the sides that what i got

Step-by-step explanation:

18 + 18 + 10 + 10 + 6 + 6=  = 68

Answer:

1080 or 68

Step-by-step explanation: 10*18*6=1080

10+10+18+18+6+6=68

Find the domain for the rational function f(x) = x-5/2x-3

Answers

Answer:

you have not gave full question what is f (x) given in question.

Molly and her friends just dined at a restaurant and left a tip of $12.07, which was equal to exactly 19% of the total bill. What was the total bill in dollars? Round your answer to two decimal places. plz helppp

Answers

Answer:

not sure but i think its 2.29

Step-by-step explanation:

the picture says it all i need a answer quick!!!!!

Answers

Answer:

the answer is going to be 42 [tex]in^{2}[/tex]

Step-by-step explanation:

12 x 13 divided by 2 = 78

6 x 6 = 36

78 - 36 = 42

Find the value of X
2x+40 100

Answers

x= 30.....................

Answer:

x=30

Step-by-step explanation:

how:

so your equation right now is 2x+40=100, so figure this equation out you have to do the opposite so it will be

100-40=60

60/2=30

which makes x=30

hope that helps

please mark as brainliest if correct

thank you

19NBoli

:)

Ms. White is going to the grocery store to buy peamut butter for $3.50 a jar. She's going to the store with
$35 but needs to save $15 for tomorrow.

Answers

Answer:

5. your question wasnt finished so there was not answer.

Step-by-step explanation:

Im guessing your question was how many jars can she by?

If so then

35 - 15 is 20

20 divided by 3.50 is 5.714

So she only has enough money left to buy 5 whole jars

1 fourth to the 3rd power as a fraction

Answers

Answer:

1/64

Step-by-step explanation:

(1/4)³

1³/4³ = 1/64

Which term matches the definition? one that can be answered with
data and for which it is anticipated that the data collected to answer the
question will vary.
A. symetrical graphs
B. skewed right
C. skewed left
D. statistical question

Answers

D) statistical question

Use the distributive property to rewrite expression
6. 4(x + 9) =

Answers

Answer:

4x+36

Step-by-step explanation:

All you have to do is multiply the 4 by the numbers inside the parentheses.

4 times x is 4x

4 times 9 is 36

You can't find the answer since you don't know what x is.

I hope this helps, and have a great day! :)

solve the inequality for n.
14 < n - 3​

Answers

Answer:

n > 17

Step-by-step explanation:

Add 3 on both side: n - 3 + 3 > 14 + 3

--> n > 17.

If it is helpful, plz give me Brainliest.

Answer:

n>17

Step-by-step explanation:

14<n-3

move the terms

-n<-3-14

calculate

-n<-17

change the signs and you get n>17

PLS HELP WILL GIVE BRAINLIEST AND 20 POINTS TY!

Answers

Answer: It is B)

Step-by-step explanation: It was 8.66 something and that rounded to the nearest tenth is 8.7

Answer:

B. 8.7

Step-by-step explanation:

the closest one is but the actual number is 8.6 repeating so 8.7 is correct

Pls help I need it today!!!! 80 points!!!!! Part 1: Looking at the data plots, which test do you think the students scored better on? Do you think
has more variation than the other or is the variation about the same for both tests? Use complete se
answer and explain your reasoning.
Part 2: Calculate the mean (rounded to the nearest whole number) and mean absolute deviation for t
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete ser
answer and explain your reasoning.
MacBook Air

Answers

Where are the data points?

How do you evaluate fuctions?

Answers

Step-by-step explanation: To evaluate functions substitute the given number or expression function's variable.

The sides of the base of a right square pyramid and its slant height are tripled. What is the surface area of the larger pyramid divided by the surface area of the smaller pyramid? A. 3 B. 6 C. 9 D. 12

Answers

Answer:

Step-by-step explanation:

If the base length and slant height are multiplied by 3, the surface area is multiplied by 3² = 9

(X+5)+(x-5)=56 what does x=?

Answers

Answer:

x=28

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+5+x−5=56

x+5+x+−5=56

(x+x)+(5+−5)=56(Combine Like Terms)

2x=56

2x=56

Step 2: Divide both sides by 2.

2x/2=56/2

x=28

plz give me brainiest

pls helpppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

I THINK THE ANSWER IS...

people need to stay and tend their crops.

HOPE IT HELPS

Answer:

I think its either A or C but I'm going to go with A

Step-by-step explanation:

Hope this helps (:

$1800 at 2% for 10 years

Answers

Answer:

$2194

Step-by-step explanation:

If this does not help you im sorry! :(

hope this helps u

Answer:

1836

Formula: P(1+r)^t

Steps- 1800$( 1 + .02)^10

instead of doing 2% we move the decimal two places to the left and get .02

From here you can just add it and get 1836$

I noticed you didn't put the annual interest rate, so I assumed it would be annually.

Solve for A

-2a -12 < -8

How do I do this step by step?

Answers

first you add 12 to the other side and once you have that divide both sides by -2 and since what we’re dividing by is negative the inequality switches so the answer is a > -2

can someone please help factoring i don’t think i did it right

Answers

Answer:

Step-by-step explanation

we are taking the same quiz do you know mr.brewer

Given that (-1,3) is on the graph of f(x), find the
corresponding point for the function
f(x - 1).

Answers

I tried helping but I cant figure it out let me see..

Answer: 0,3

Step-by-step explanation:

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