If the rate of inflation is 4.1% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. p(t)=2500(1.041) Find the current price of the item and the price 8 years from today. Round your answers to the nearest dollar as necessary.​

Answers

Answer 1

Answer:

Given function:

p(t) = 2500(1.041)^t

Current price is:

p(0) = 2500(1.041)^0 = $2500

Price after 8 years:

p(8) = 2500(1.041)^8 = $3448 (rounded)

Related Questions

Which statement is true? A The greatest common factor of 10 and 14 is 5. B The greatest common factor of 10 and 15 is 5. C The greatest common factor of 13 and 21 is 3. D The greatest common factor of 14 and 21 is 3.​

Answers

A - the greatest common factors is 5


Write an equation of the line in slope-intercept form given the following
information: slope: 3, through (2,5). *

Answers

Answer:

slope(m) =3

given point (X1,y1 ) )=(2,5)

equation of line=y-y1= m(x-x1)

y-5=3(x+2)

3x-y+11=0

Answer:

y=3x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-5=3(x-2)

y=3x-6+5

y=3x-1

7. If m∠AEB = 75°, then m∠AED =
8. If m∠1 = 35°, then m∠4 =

Answers

Answer:

7. If m∠AEB = 75°, then m∠AED = 105.

8. If m∠1 = 35°, then m∠4 = 35.

Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth.
n = 2165; p = 0.63

A. σ = 22.46
B. σ = 25.73
C. σ = 20.05
D. σ = 26.58

Answers

C is the answer to your question

PSYCHOLOGY!!! Which theory claims that individuals label emotions based on how they are interpreted?
A.
Cannon-bard theory
B.
James-Lange theory
C.
relative deprivation principle
D.
Schachter's two factor theory

Answers

Schachter's two-factor theory claims that individual labels emotions based on how they are interpreted.

What is Schachter's two-factor theory?

The Schacter two-factor theory states that emotion is the product of the interplay of two variables:

Physiological excitation and Cognition.

This theory suggests that physiological excitation is cognitively understood and interpreted within the setting of each encounter, resulting in the emotional experience.

The relationship between bodily arousal and how we cognitively perceive that arousal is the subject of the two-factor theory of emotion.

To put it another way, merely feeling arousal is insufficient; we must also recognize the arousal in order to interpret and experience the emotion.

Learn more about Schachter's two factor theory here:

https://brainly.com/question/7118820

Answer:

James-Lange theory

Step-by-step explanation:

HELP!!!!The area of a sector is 120pi with a radius of 20. What is the measure of that central angle?
A. 22
B. 108
C. 216
D. 11

Answers

Answer:

Step-by-step explanation:

22

can someone help plz?

Answers

Answer:

The answer is: Yes

Step-by-step explanation:

1. Substitute the 2's for the x's.

2. Substitute the 3's for the y's

3. You get 4-9= -5

4. Do the same for the second problem.

5. 8-12= -4

6. Both problems are correct once the substitutions are made, therefore the answer is "Yes".

Answer:

REASONS TO KEEP OUR PROMISES

1. Introduction

Promises are valuable because they allow us to receive assurances that others will act in

certain ways and give these assurances ourselves. Assurances are worthwhile because they

can give us peace of mind, we can use them to establish and stabilize private schemes of

cooperation and, anyway, we often have good reason to want people to do (or not do) certain

things. The obligation to keep a promise derives in some way from the value that assurances

provide.1

Accounts of our fiduciary obligations divide over the role they assign to social practices.

David Hume and John Rawls argue that promising creates in others the relevant assurances

only if there exists a social practice of promising in which most everyone knows that people

generally fulfill their promises. These philosophers think that our fiduciary obligations

depend essentially on an institution of promising, but they disagree about why we have an

obligation not to violate its rules. Hume seems to think that promise-breaking is wrong in

virtue of impartial disapproval towards acts that undermine the practice of promising while

Rawls argues that it is wrong to break a promise because doing so exploits a just institution of promising from which we have voluntarily benefited.2

In contrast to these practice views,

Thomas Scanlon maintains that our obligation to keep a promise does not necessarily depend

on any social convention; instead, he argues that we ought to keep our promises because we

have a duty not to frustrate certain expectations that our promising can induce in others.3

These three views are often presented as competing accounts of the most fundamental

reason why we should keep our promises. I believe that none of them, however, can explain

our fiduciary obligations in all (or most) cases that involve binding promises. Scanlon’s

expectation view is subject to a fatal circularity in paradigm cases in which our only reason

to keep a promise is an awareness that, having made a promise, we are obligated to keep it.

Hume’s view cannot explain why we ought to keep a promise the breaking of which is

unlikely to undermine the institution of promising. And Rawls’ view (along with Hume’s)

cannot explain why it is wrong to break promises that are made when no social practice of

promising exists. Moreover, neither practice views nor expectation views alone can fully

explain the wrongs involved in breaking promises that both invoke the rules of a social

practice of promising and lead others to form certain expectations about our actions. This

suggests that there is no single, fundamental reason why we should keep our promises.

After arguing for these claims, I go on to sketch an alternative account according to

which a family of fiduciary principles, including ones similar to those suggested by Hume,

Rawls and Scanlon, explains why we ought to keep our promises. A principle is a fiduciary

principle if it explains why one or more promises are binding. On this view, no single fiduciary principle explains why all binding promises generate obligations and often one or

more fiduciary principle will apply in a given case, possibly over-determining why we should

keep that promise. For example, principles of the sort proposed by Rawls and Scanlon would

each give us sufficient reason to keep a promise that invokes the rules of a just institution of

promising and also arouses certain expectations in others. A pluralist account of this sort, I

argue, provides a better framework for understanding the nature of our fiduciary obligations.

Researchers were interested in looking at air quality in different regions of the United States. The following dot plot represents the number of days in a certain month that the air quality was unhealthy for eighteen cities in the Midwest.
10
Days
Which of the following box plots represents the same data displayed on the dot plot above?

Answers

Answer:

b

Step-by-step explanation:

you have to find the mean of the equation

Please help with my ACT PRep

Answers

Answer:

it's D because in a graph y=3/4x-2 is not possible

Can someone plz help me with this one problem plz I really need this to be correct!!!

Answers

Answer:

The answers would be 5.42 and 5.1.

Step-by-step explanation:

The diagram shows 5.39, so those answers would be more than the diagram shows.

Trevor built 8 birdcages to sell at the Connellsville Craft Show. He hopes to earn $112. Trevor will write an equation for p, the price in dollars he will charge for each birdcage.

A. Write an equation for the scenario.





B. What value of p makes the equation true? Explain how you found your answer.








C. Suppose Trevor decided he wants to earn $270 with the 8 birdcages. Write an
equation he could use to find p, the price in dollars he should charge for each birdcage. Tell how much Trevor should charge now, and explain why your answer is correct.

Answers

Answer:

a, 112/8

b, $14, found it by dividing

c, 270/8. Now he should charge $33.75. This is correct because 33.75*8=270

Step-by-step explanation:

what is the probability of having a standard deck of 52 cards, while having a 3 card hand and getting dealt a jack and a king.​

Answers

Answer:

The deck of 52 playing cards is broadly classified into 2 which are further divided into 2 divisions.

Red(26 cards) and Black(26 cards).

The red cards are further divided into diamonds♦️ (13 cards) and hearts♥️ (13 cards).

The black cards are further divided into clubs♣️(13 cards) and spades♠️(13 cards).

In each division of 13 cards classified above, there are/is-

3 face cards- King, Queen, Jack

One ace card

9 number cards(numbered from 2–10)

So, there are twelve face cards in a deck.

When three cards are picked, you may pick any three face cards out of the 12 face cards.

P(getting 3 face cards)=

No. of favourable face cards/ Total cards I.e,

12C3/52C3. By solving it we get 22/22100

=0.00995

Step-by-step explanation:

PLEASE HELP 20 POINTS!

Answers

Answer:

20/132

Step-by-step explanation:

There is a 5/12 chance of event A happening, Event B has a 4/11 chance happening so you multiply the chances together and get  20/132

Find the value of this expression if x = -9.
X-7
x +7

Answers

Answer:

8

Step-by-step explanation:

numerator = -9-7 = -16

denominator = -9+7 = -2

[tex]\frac{num}{deno} = \frac{-16}{-2} = 8[/tex]

Helppppp
needdddd it​

Answers

Answer:

angle don+angle gil=90°

don+ 74°=90°

don=90°-74°

don=16°

angle e + angle a=180°

128°+angle a=180°

angle a=180°-128°

angle a=52°

Answer:

1. 16°

2. 52°

Step-by-step explanation:

So!! Complementary angles add up to 90 degrees, and supplementary angles add up to 180 degrees. With this, it should be really easy. To find the measure of angle DON:

m∠DON + m∠OIL = 90°

m∠DON + 74°=90°

m∠DON=16°

For the measure of angle A:

m∠A+m∠E=180°

m∠A+128°=180°

m∠A=52°

Hope this helped!

The first two angles in a triangle are 70 degrees and 50 degrees. What does the third angle have to be?

60 degrees
90 degrees
30 degrees
120 degrees

Answers

Answer:

60 degrees

Step-by-step explanation:

Triangles always equal to = 180 degrees

with that being said 70 + 50 = 120

You can subtract 120 from 180

120 - 180 = 60 degrees

Your answer is A. 60 degrees

The answer is 60 degrees

what's 28.782 to the nearest degree?

Answers

Answer:

I really dont know so u do it

Step-by-step explanation:

Answer:  It's 29 degrees.

Please help ill give brainliest and more points
Kushbu decides to order a combination platter at her favorite restaurant. The platter comes with a choice of 2 entrees and 3 sides.

If there are 8 entrees and 6 sides available, how many different meal combinations could she order?

Enter your answer as an integer, like this: 42

Answers

Answer:

5

Step-by-step explanation:

Answer:

560

Step-by-step explanation:

To find the total combination you have to multiply the combination of entrees by the combination of sides. You have to use the nCr equation to find these separate equations. n is the number of items in the total of the set and r is the number of items you want to choose from the set.

nCr(8,2) = 28
nCr(6,3) = 20

28 * 20 = 560

find the ratio (fraction) for Tan H.. I need it fast

Answers

Given:

In right triangle [tex]GHI,m\angle I=90^\circ,GH=7.5,HI=7.2,GI=2.1[/tex].

To find:

The ratio (fraction) for Tan H.

Solution:

In a right triangle,

[tex]Tan\theta=\dfrac{Perpendicular}{Base}[/tex]

In [tex]\Delta GHI[/tex].

[tex]Tan H=\dfrac{GI}{HI}[/tex]

[tex]Tan H=\dfrac{2.1}{7.2}[/tex]

It can be written as

[tex]Tan H=\dfrac{21}{72}[/tex]

[tex]Tan H=\dfrac{7}{24}[/tex]

Therefore, the fraction for Tan H is [tex]\dfrac{2.1}{7.2}[/tex] or it can be written as [tex]\dfrac{7}{24}[/tex].

hey so can anyone explain this to me i just want to make sure I did it right thanks;)

Answers

Answer:

tan P=8/15

tan Q=15/8

Step-by-step explanation:

tan P=opposite/adjacent, where 8 is the opposite, while 15 is the adjacent.

tanQ=opposite/adjacent, where 15 is the opposite, while 8 is the adjacent.

Hey need more help with this test dont answer if you dont know

Answers

No,
Option b is the correct answer

Please help with this its confusing somehow :(​

Answers

Answer: C.

Step-by-step explanation: divide -27 by 3

If p=4 and q=6, evaluate the following expression:66/p+3q​

Answers

Answer:

3

Step-by-step explanation:

Since p = 4 and q = 6

Then:

66 / 4 + (3 x 6)

66 / 4 + 18

66 / 22

3

Answer: 3

Plug in p and q into the equation.

66/ (4) + 3(6)
66/ 4 + 18
66/ 22
3

PLEASEE HELPPP! IT DUE TONIGHT!!!

Answers

Answer:

Step-by-step explanation:

Answer:

11 +5x=y

y-11-5x=0

Step-by-step explanation:

help ASAP plzzzzzzzzzzzzzz

Answers

Answer:

e = 16

Step-by-step explanation:

-5e-4e = -144

-9e = -144

e = 16

find total surface area WILL FIVE BRAINLIEST

Answers

317.06646122227 in^2

log (z ^ 3)/(x ^ 4 * y ^ 5) with steps please

Answers

Answer:

Step-by-step explanation:

Which of the following numbers are irrational?

Answers

Answer:

c.

hope it helps :)

Step-by-step explanation:

Answer:

B. Pi

Step-by-step explanation:

Pi is an irrational number---you can't write it down as a non-infinite decimal. This means you need an approximate value for Pi. The simplest approximation for Pi is just 3.

The school that Molly goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 10 adult tickets and 10 student tickets for a total of $260. The school took in $94 on the second day by selling 5 adult tickets and 2 student tickets. Write and solve a system of linear equations to find the price of an adult ticket and the price of a student ticket.

Answers

Answer:

Student ticket: $12, Adult ticket: $14

Equations: 260=10x+10y, 94=2x+5y

Step-by-step explanation:

Set adult tickets as y

Set student tickets as x

First day: Total made is 260 so set that equal to 10x + 10y

--> 260=10x+10y

Second day: Total made is 94 so set that equal to 2x + 5y

--> 94=2x+5y

I find it easier to have simplified terms so simplify (divide by 2) the first equation to get: 130=5x+5y

All you have to do now is solve for the two variables.

94=2x+5y - (130=5x+5y) --> x=12, y=14

An airplane traveled at a speed of 600 miles per hour for 90 minutes. How far did the airplane travel? PLEASE HELP

A. 54,000 miles
B. 12,000 miles
C. 900 miles
D. 600 miles
E. 450 miles ​

Answers

Answer:

C 900 miles

Step-by-step explanation:

Since its traveling 600 miles per hour that would be equal to 300 miles per 30 minutes (half hour) and 600+300=900 making it C.

900 if it traveled 600 per hour and 90 mins is 1 hour and 30 mins then we already know that he traveled more than 600 and now we already know that 30 is half of an hour so we also do that to 600 and get 300 so 600+300 is 900
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