Equations of Exponential Functions

Given the following equation of an exponential function
R = 10.5(0.535)t
determine the base, b, of the exponential model. Is the base a growth or decay factor?

a. b is 0.535; It is a growth factor.
b. b is 0.535; It is a decay factor.
c. b is 10.5; It is a growth factor.
d. b is 10.5; It is a decay factor.

Please select the best answer from choices provided

Answers

Answer 1

Answer:

B. B is 0.535; It is a decay factor.

Step-by-step explanation:

I calculated it logically

Answer 2

Answer:

B. b is 0.535; It is a decay factor.


Related Questions

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 11 inches, and the length of the base is 6 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.

Answers

The perimeter of the considered isosceles triangle is  28.8 in. approx.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Considering the attached image below, which has same isosceles triangle with same measurements, we see that:

|AC| = |AB| (because perpendicular dropped leaves two congruent triangles in ABC, as ADC and ADB)

similarly, we have:

|BD| = |DC|

But |BC| = 6 =  |BD| + |DC|,

Thus, 6 = |BD| + |DC| = |BD| + |BD| =2|BD|

|BD| = 6/2 = 3 inches = |DC|

From Pythagoras theorem for triangle ADB, we get:

[tex]|AB|^2 = |AD|^2 + |BD|^2\\|AB|^2 = 11^2 + 3^2 = 121 + 9 = 130\\|AB| = \sqrt{130} \approx 11.4 \: \rm in. = |AC|[/tex]

(positive square root since |AB| is length, which is a non-negative measure).

Thus, we get:

Perimeter of the rectangle = |AB| + |BC| + |AC| ≈ 11.4 + 6 + 11.4 = 28.8 in.

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

Compare numbers to their opposites based on their positions on a number line. Choose ALL true statements based on these comparisons.
A) −(−7) = 7
B) Zero is its own opposite.
C) −(−10) = −10
D) −14 and 4 are equally distant from 0.
E) −12 and 12 are equally distant from 0.

Answers

Answer:

A, B, E

Step-by-step explanation:

I'm not too sure about B, but A and E are definitely true

Hey can I have some help on this I can only give you 10 points though

Answers

I got D $60.00

I got D $60.00 which should be right.



Find all solutions of

Answers

Answer: [tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex], [tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]

Step-by-step explanation:

Given

[tex]\sin x-\sqrt{1-3\sin^2x}=0[/tex]

Take the square root term to the right-hand side

[tex]\Rightarrow \sin x=\sqrt{1-3\sin^2x}\\\text{Squaring both sides}\\\Rightarrow \sin^2x=1-3\sin^2x\\\Rightarrow 4\sin^2x=1\\\\\Rightarrow \sin^2x=\dfrac{1}{4}\\\\\Rightarrow \sin x=\pm\frac{1}{2}[/tex]

for

[tex]\sin x=\dfrac{1}{2}[/tex]

[tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex]

for

[tex]\sin x=\dfrac{-1}{2}[/tex]

[tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]

Edgar accumulated $1,000 in credit card debt. If the interest is 10% per year and he does not make any payments for 4 years, how much will he owe on this debt in 4 years by compounding continuously?

Provide your answer below:

A= $ __

Answers

ANSWER: 400
10% of 1000 is 100 x 4 = 400

Can anyone help me with this plz

Answers

Answer:

B.

Step-by-step explanation:

So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.

Now we can look at the sides.

The ratio for 27:18 = 3:2

The ratio for 36:24 = 3:2

They check out.

That means that the answer is B. SAS

Andre drank 1.5 liters of water he brought. If he drank 80% of his entire hike, how much did he drink?

(please do explanation)

Answers

Answer:

He drank 1.2 liters

Step-by-step explanation:

1.5 X 0.8 (80%) = 1.2

Also the dude below also took my points when i asked a question :)

can someone please help me with this. whoever answers first will be the brainleyist

Answers

Answer:

Step-by-step explanation:

6(5+x) = 30 + 6x

1. Distribute the 6 to both the 5 and the x.

7x5x3 = 105

1. Just multiply them together.

28 - 3(2+4)/9 = 26

1. PEMDAS

2. Add inside the parenthesis: 28 - 3 x 6 / 9

3. Multiply: 28 - 18 / 9

4. Divide: 28 - 2

5. Subtract: 26

8.
Does a triangle with these side lengths exist?20, 10,9
Da) Yes
I b) No

Answers

Answer:

yes

Step-by-step explanation:

Please help last math question please plz 50 pts

Answers

answer : well first count how many squares is shaded

Answer:

33

Step-by-step explanation:

because there are 66 squares and 1/2 is shaded so 33

mark me brainliest mark me brainliest

Find the median of the following data set. 1 1/4,5/8 ,3/5 ,1/2 ,1 1/2, 1 3/4
1. 7/8
2. 15/16
3. 5/6

Answers

Answer:

1. 7/8

Step-by-step explanation:

You pay ​$5500 for a municipal bond. When it matures after 20 ​years, you receive ​11,900$. What % is your total return?

Answers

don’t click the link

help it’s due today and i haven’t done it since wensday

Answers

Answer:

135

Step-by-step explanation:

:)

Answer:

When you convert them both you get 135

Solve each of the following equations. Show its solution set on a number line. Check your
answers.
5x =3

Answers

Answer:

3/5

Step-by-step explanation:

It should look like this...

x=3/5

(5*(3/5))=3

5*3 = 15

15/5=3

answer answer answer answer answer

Every month $50 is withdrawn from Tom’s savings account to pay for his gym membership he has enough savings to withdraw no more than $200 for how many months can Tom pay for his gym membership.

Answers

Answer:

4 months.

Step-by-step explanation:

Please help ill give u brainlest 30 points !!

Paige had a lemonade stand. She sold s small cups of lemonade for $1 each, m medium cups for $3 each, and l large cups for $5 each. At the end of the day, she had sold 6 medium cups, 9 large cups, and 12 small cups of lemonade.

Which expressions show how much money Paige made selling lemonade? Select all that apply.

A. 12s + 9m + 6l

B. 1s + 3m + 5l

C. $75

D. $93

Answers

Answer:

B

Hope this helps!

75 POINTS!!! PLEASE ANSWERl
The average size of a pair of women's shoes sold at a shoe store is size 8, with a standard deviation of 1.5
sizes. If the sizes are normally distributed, what is the percentile rank of at least a size 9. Go to z-table.com

Answers

Answer:

75%

Step-by-step explanation:

Find z-score:

z = (9 - 8)/1.5 ≈ 0.67

Get the rank from the z-table:

0.7486 ≈ 75%

a biking track has a length of 2376 feet. how long is this in miles

Answers

Answer:0.45 miles

Step-by-step explanation:

Conversion

The answer is .45 miles.
1 foot is 0.000189394 mile. That is just the conversion rate. To find how many miles 2,376 feet is, multiply 0.000189394 by 2,376. We get .45 which is the answer. :)

PLS BELP I DONT HAVE MUCH TIME!!!

Answers

Answer:

I'd say A or D but I have a feeling it's A

Hi everyone! I got another problem I need help on over probability. No links or you will be reported!!!

Please help me solve this. Where I'm going wrong and an explanation would be very helpful as well.

problem: The data in the following table shows the outcomes of guilty and not-gulity pleas in 1055 criminal court cases.

Sent to prison:
Guilty plea: 399
Not-gulity plea: 59

Not sent to prison:

Guilty plea: 567
Not-gulity plea: 29

A. What is the probability that a randomly selected defendant either pled guilty or was not sent to prison? (round to three decimal places as needed.)

Answers

Answer:

0.944

Step-by-step explanation:

First of all, are you sure the datas are alright? We have a count of 1054 defendants while adding up all these numbers.

Assuming the datas are true, out of the 1054 defendants:

- 399 are sent to prison and guilty

- 567+29 = 596 aren't sent to prison.

Since we are looking for the probability that a randomly selected defendant either pled guilty or was not sent in prison, it means we have

[tex] \frac{399+596}{1054} = \frac{995}{1054} = 0.944[/tex]

(rounded to three decimal places).

a(n)=6+(n-1)(-2) what its the fourth sixth and thirteenth terms

Answers

Answer:

4th term = 0

6th term = -4

13th term = -18

Step-by-step explanation:

a(n) = 6 + -2(n-1)

a(4) = 6 + (-2)(3) which is 6-6

a(6) = 6 + (-2)(5) which is 6-10

a(13) = 6 + (-2)(12) which is 6-24

y= -4(x+5)^2+4[tex]y=-4(x+5)^2+4[/tex]

Answers

9514 1404 393

Answer:

  x = -6 or -4

Step-by-step explanation:

Maybe you want to know the x-intercepts. They are found by ...

  0 = (x +5)² -1 . . . . . divide by -4

  1 = (x +5)² . . . . . . . add 1

  ±√1 = x +5 . . . . . . square root

  -5 ± 1 = x . . . . . . subtract 5

  x = -6 or -4

__

The vertex is (-5, 4). The parabola opens downward, so the vertex is a maximum. The range of the function is (-∞, 4]. The vertical scale factor is -4, so the graph will appear narrower than that of the parent function.

Please help me!

Please!

Answers

Answer:

27

Step-by-step explanation:

9/1/3=9*3=27

Answer:

D. 27

Step-by-step explanation:

This is a simple division

[tex]9[/tex] ÷ [tex]\frac{1}{3}[/tex] =

[tex]\frac{9}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex] =

Cross multiply

[tex]1[/tex] × [tex]1 = 1[/tex]

[tex]9[/tex] × [tex]3 = 27[/tex]

Set it up

[tex]\frac{27}{1}[/tex]

Then, the model represents 27

what is 900,000*9,000

Answers

Answer:

8,100,000,000

Step-by-step explanation:

I used a calculator lol

A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedroom units within a half-mile of campus and the rents paid. The sample mean is $550 and the sample standard deviation is $60.05. Provide a 95% confidence interval estimate of the mean rent per month for the population of one-bedroom units within a half-mile of campus. Assume that population is normally distributed.

Answers

Answer:

(507.05, 592.95)

Step-by-step explanation:

Given data:

sample mean = $550, sample standard deviation S = $60.05

95% confidence interval , n = 10

For 95% confidence interval for the mean

mean ± M.E.

where M.E. is margin of error = [tex]t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }[/tex]

Substituting the values in above equation

[tex]=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }[/tex]

= 2.62×18.99

=42.955

= 550±42.95

=(507.05, 592.95)

Only answer if you’re sure :) id like the full equation! Will give Brainly

Answers

Answer:

[tex]y = \frac{3}{2} x - \frac{7}{2} [/tex]

Step-by-step explanation:

3x-2y=7

-3x -3x

-2y=-3x+7

-1 -1

2y=3x-7

2 2

y= 3/2x-7/2

Seven less than the product of 24 and Jose’s savings
Use the variable j to represent Jose’s savings

Answers

Answer:

[tex]24j -7[/tex]

Step-by-step explanation:

Given

[tex]Savings \to[/tex] j

Required

Express 7 less than 24 * j

First, we have:

[tex]24 * j = 24j[/tex]

7 less is then expressed as:

[tex]24j -7[/tex]

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

B) One solution

Step-by-step explanation:

Clearly, the two linear equations graphed have one point of intersection, which means one solution.

Answer:

B

Step-by-step explanation:

the solution is the intersection of the two lines

cuanto es 36x1000 por fa

Answers

Answer:

[tex]36 * 1000 = 36000[/tex]

Step-by-step explanation:

Have a nice day!

¡Que tenga un lindo día!

Answer:36000

Step-by-step explanatio:ESPERO TE AYUDE

Can anyone of u pls help me???

Answers

4

- + 2 = x = 10

5

this is how i see it..... 4 5ths plus 2 equals 10

Other Questions
Which two shapes have perimeters of 18 feet but have different areas?(1 point)A rectangle with a length of 9 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.A rectangle with a length of 5 ft. and a width of 3 ft. and a square with a side length of 4 ft.A rectangle with a length of 7 ft. and a width of 2 ft. and a rectangle with a length of 6 ft. and a width of 3 ft.A rectangle with a length of 8 ft. and a width of 2 ft. and a square with a side length of 4 ft. Who is Ackerman? A. Levi B. Petra C. Erwin Pacification was the policy by which the United States and South Vietnamese officials worked to protect villagers by creating specific civilian areas that were guarded by troops.Please select the best answer from the choices providedTF Use the table to find the relationship between the two quantities. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 13, 26, 39, 52. What relationship between the quantities is shown in the table? The relationship between quantities is +12. The relationship between quantities is 13. The relationship between quantities is 24. The relationship between quantities is +36. Graph ATUV with vertices T(-3, 2), UC-1, 0), and (4,-2) and its image after the glide reflection. Find the volume of this triangular prism.Be sure to include the correct unit in your answer. 2. What are the constituents of thehydrosphere? 7. Since the allele for color blindness is located on the X chromosome, colorblindness1 cannot be inherited2 occurs only in adults3 is sex-linked4 none of the above(HELP ME PLEASEEE!) Anyone?? Help PLEASE!! Will give brainliest!! The second image is the pictures and the first is the graph. HELP!!! this passage mostly about define gravitational field intensity? Write a storyline in work environment that apples (3) employability skills to be a productive and positive employee. Which side lengths form a right triangle? no links pls its very unhelpful How many feet of fencing is needed to enclose a rectangular garden with a 9 foot long side and a 15 foot long diagonal Writers create blank by leading the reader to expect something to happen Which sentence has the quotation marks placed correctly ? 1.) Mother ," I cut my finger , said Jane. 2.) "Mother, I cut my finger," said Jane. 3.) Mother, I cut my finger, "said Jane." 4.) "Mother, I cut my finger, said Jane." 83. A student estimated the height of a tree as 47feet. If the actual height is 53 feet, what is thepercent error rounded to the nearest percent?(Hint: Compare the estimated height to the actualheight.)Poviow (SARZAPage 8 Help ASAP brainliest if right! No links Solve for v.9,45 6,1v = 2,8v + 13,98