The population of a city this year is 200,000. The population is expected to increase by 2.5% per year over the next 10 years. Which exponential equation models this situation?​

Answers

Answer 1

Answer:

[tex]A = 200,000(1+.025) ^{t}[/tex]

[tex]A = 200,000(1+.025) ^{10}[/tex]

Step-by-step explanation:


Related Questions

Plz get me the correct answer or u will be reported. 15 points for correct answer. Thx.

Answers

Answer:

D

Step-by-step explanation:

correct answer, thanks for 15 pts

Answer:

Option D is correct

Step-by-step explanation:

Hope it is helpful....

8. Discount: An auto dealer paid $8730 for a
large order of special parts. This was not the
original price. The amount paid reflects a 3%
discount off the original price because the
dealer paid cash. What was the original price
of the parts?

Answers

Answer: 5,987

Step-by-step explanation:

find the exact value cos5pi/6

Answers

Answer:

[tex] - \frac{ \sqrt{3} }{2} [/tex]

Step-by-step explanation:

Unit circle

A polygraph (lie detector) is an instrument used to determine if an individual is telling the truth. These tests are considered to be 90% reliable. In other words, if an individual lies, there is a 0.90 probability that the test will detect a lie. Let there also be a 0.045 probability that the test erroneously detects a lie even when the individual is actually telling the truth. Consider the null hypothesis, "the individual is telling the truth," to answer the following questions
a. What is the probability of a Type I error? (Round your answer to 3 decimal places.)
b. What is the probability of a Type II error? (Round your answer to 2 decimal places.

Answers

Answer:

A) P(Type I error) = 0.045

B) P(Type II) error = 0.1

Step-by-step explanation:

We are told that the reliability of the test is 90% reliable.

Also, we are told that the probability that the test erroneously detects a lie even when the individual is actually telling the truth is 0.045.

Thus;

A) To calculate the probability of type I error:

From statistics, in this question we can say that the probability of a type I error is the probability that the test will erroneously detect a lie even though the individual is actually telling the truth. Thus;

Probability of (type I error) = P(rejecting true null) = 0.045

B) For probability of type II error, it is defined as the error where we accept a null hypothesis that is false. We can say that it produces a false negative and the formula is;

P(Type II) error = 1 - reliability

Reliability in the question is 0.90

Thus;

P(Type II) error = 1 - 0.9

P(Type II) error = 0.1

If JKL - PNM. then M = L and the sides NP and
KJ are proportional.
True
Or
False???

Answers

Answer:

True

Step-by-step explanation:

In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.

The answer is True because JKL and PNM are proportional. If they are proportional, JK is proportional to PN, NM is proportional to NM and JL is proportional to PM.

Solve this equation log3X + log3(x-6) = log3 7

Answers

Hello!

log₃(x) + log₃(x - 6) = log₃(7) <=>

<=> log₃(x * (x - 6)) = log₃(7) <=>

<=> log₃(x² - 6x) = log₃(7) <=>

<=> x² - 6x = 7 <=>

<=> x² - 6x - 7 = 0 <=>

<=> x² + x - 7x - 7 = 0 <=>

<=> x * (x + 1) - 7 * (x + 1) = 0 <=>

<=> (x + 1) * (x - 7) = 0 <=>

<=> x + 1 = 0 and x - 7 = 0 <=>

<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>

<=> x = 7

Good luck! :)

Least to greatest 22,755 20,564 2,3805

Answers

Least to greatest: 20,564 22,755 2,3805

Given the following angles, what ray is the common side of CFD and ZDFE?

Answers

Answer:

B. Ray FD

Step-by-step explanation:

A common side of two angles is the side shared by the two angles. It is part of the sides that forms both angles.

The common side of <CFD and <DFE is therefore ray FD. Ray FD is part of the sides that forms <CFD and also <DFE.

Answer:

B. Ray FD

Step-by-step explanation:

A common side of two angles is the side shared by the two angles. It is part of the sides that forms both angles.

The common side of <CFD and <DFE is therefore ray FD. Ray FD is part of the sides that forms <CFD and also <DFE.

(6^2)^4 simplify the expression

Answers

Answer:

36

Step-by-step explanation:

(6^2)^4

(6)^2+4

6^6

36

simplify the expression : (6²)⁴= (36)⁴= 1679616

Or

[tex]{6}^{2 \times 8} = 1679616[/tex]

Write – 90 5/8 as a decimal number.

Answers

Answer:

-90.625

Step-by-step explanation:

Answer:

[tex]-90~5/8\\[/tex]

[tex]Decimal=-90.625[/tex]

-------------------------------

~HOPE IT HELP....~

~HAVE A GREAT DAY!!~

Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50 each, and kiwis are $0.30 each. How many did she buy if she bought 9 more pears than pineapples and 2 fewer kiwis than pears?

Answers

Answer:

Number of pineapples= 10

number of pears = 19

number of kiwis = 10 -2 = 8

Step-by-step explanation:

Cost of a pear = $ 0.50

Cost of a pineapple = $ 1.5

cost of a kiwi = $ 0.3

Let the pineapples = p

Number of pears = 9 + p

Number of kiwis = p - 2

The cost is

0.15 p + 0.5 (9 + p) + 0.3 (p - 2) = 13.50

0.15 p + 4.5 + 0.5p + 0.3 p - 0.6 = 13.50

0.95 p = 9.6

p = 10

 

Answer: There is 3 pineapples, 12 pears and 10 kiwis

Hope this help :)

Given the following formula, solve for r.

Answers

It’s c, a and d just don’t make any sense at all

A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random sample of 12 sample specimens has a mean compressive strength of psi. Round your answers to 1 decimal place. (a) Calculate the 95% two-sided confidence interval on the true mean compressive strength of concrete. Enter your answer; 95% confidence interval, lower bound Enter your answer; 95% confidence interval, upper bound (b) Calculate the 99% two-sided confidence interval on the true mean compressive strength of concrete.

Answers

Answer:

95%: (3278.354 ; 3270.083)

99% : (3221.646 ; 3278.354)

Step-by-step explanation:

Given :

Sample size, n = 12

Mean, xbar = 3250

Sample standard deviation = √1000

The 95% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.05, df=12-1 = 11 ;

Tcritical at 95% = 2.20

Hence,

Margin of Error = (2.20 * √1000/√12) = 20.083

Confidence interval : 3250 ± 20.083

Lower boundary = 3250 - 20.083 = 3229.917

Upper boundary = 3250 + 20.083 = 3270.083

2.)

The 99% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.01, df=12-1 = 11 ;

Tcritical at 99% = 3.106

Hence,

Margin of Error = (3.106 * √1000/√12) = 28.354

Confidence interval : 3250 ± 28.354

Lower boundary = 3250 - 28.354 = 3221.646

Upper boundary = 3250 + 28.354 = 3278.354

please help i guess on a

Answers

Answer:

A = (2, 2)

B = (3, -1)

C = (-1, 0)

Step-by-step explanation:

To translate a point, you have to translate each individual point. At the bottom it shows <-2,3>, therefore you have to translate x 2 units to the left (because it's negative meaning the number is going away from 0, and 3 units to the right because 3 is a positive number.)

First Point A:

x: 4 - 2 = 2; y: -1 + 3 = 2

Second Point B:

x: 5 - 2 = 3; y: -4 + 3 = -1

Lastly, Point C:

x: 1 - 2 = -1, y: -3 + 3 = 0

I hope this helps!

Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?

Answers

Answer:

n = 4 is 10

hope it helps and have a good day

Simplify by expressing fractional exponents instead of radicals.

Answers

8(x^2y^4)^1/2 I think this is the answer

Can I get the answer for those

Answers

Answer:

1) 5.64

2) 17.321

1) [tex]\frac{21}{28}[/tex]

2) [tex]\frac{16}{34}[/tex]

3) [tex]\frac{28}{35}[/tex]

4) [tex]\frac{32}{24}[/tex]

Step-by-step explanation:

SOH - CAH - TOA

Sin = [tex]\frac{O}{H}[/tex]   Cos = [tex]\frac{A}{H}[/tex]  Tan = [tex]\frac{O}{A}[/tex]      

O = opposite, A = adjacent, H = hypotenuse

First two,  use Pythagorean Theorem

If you want to calculate the angle on the last 4, use inverse of function and put in the ratio.

For example :

1) Tan Z = [tex]\frac{21}{28}[/tex]

   [tex]Tan^{-1}[/tex] ( [tex]\frac{21}{28}[/tex])

Z = 36.9°

In triangle ABC , segment AB is congruent to segment CB . Which angles are congruent?​

Answers

Answer:

angles A and C are congruent

What is an amount between $2 and $10?

Answers

Answer:

6

Step-by-step explanation:


An initial deposit of $212 is placed in
a bank account and left to grow, with
interest compounded continuously.
what will it be after 6 years?
Round your answer to the nearest dollar.

Answers

Answer:

$224.932

Step-by-step explanation:

Note: The question is not complete

say the rate is 10%

Given data

Initial depostite= $212

TIme= 6years

rate= 10%

the expression for the compound interest is given as

A=P(1+r)^t

substitute

A=212(1+0.1)^6

A=212(1.01)^6

A=212*1.061

A= $224.932

Hence the final amount at the rate of 10% is $224.932

IM BEING TIMED PLEASE ANSWER ASAPPPPPP

solve this please:
1y2 + 3y − 6 + 4y − 7 + 2y2 + 3y2 − 8 + 5y

Answers

Answer:

just combine like terms, its that simple.

Step-by-step explanation:

Identify the transformation that occurs to create the graph of g(x). g(x)=f(x)-7

Answers

Answer:

g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

Step-by-step explanation:

We are given that

[tex]g(x)=f(x)-7[/tex]

We have to identify  the transformation that occurs to create the graph of g(x).

To identify  the transformation that occurs to create the graph of g(x)

We will subtract the 7 from f(x).

Let f(x) be any function

[tex]g(x)=f(x)-k[/tex]

It means g(x) obtained by  shift the function f(x) down  k units by subtracting k units from f(x).

Therefore, g(x) is obtained by shift the function f(x) down 7 units by subtracting 7 units from f(x).

At the Fidelity Credit Union, a mean of 5.8 customers arrive hourly at the drive-through window. What is the probability that, in any hour, more than 5 customers will arrive

Answers

Answer:

0.5217

Step-by-step explanation:

P(more than 5 customer arrive):

P(X>=6)=1-P(X<=5)=  1-∑x=0x e-λ*λx/x!= 0.5217

Determine the intercepts of the line
Y ——-,——-
X——-,——-

Answers

Answer:

(-8,0), (0,-6)

Step-by-step explanation:

Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $296. Otherwise, you have to pay your friend $17.
What is the expected value of your bet?

Answers

Answer:

False because $296=$296

i need helpp !!!!!!!!!!!

Answers

Answer:

In descending order, 1, 4, 3

Use the given information to answer the questions and interpret key features. Use any method of graphing or solving. Round to one decimal place, if necessary.

The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x) -.25x^2 + 3.42, where x is the number of feet away from the golf club (along the ground) the ball is.

The ball starts ____ feet above the ground.

The ball reaches a maximum height of _____ feet at a horizontal distance of ____ feet away from the golf club 19 it was hit with

The ball returns to the ground at about ____ feet away. ​

Answers

B. Gurl that’s way too long for anyone to do

RESOLVER LOS SIGUIENTES SISTEMAS DE ECUACIONES APLICANDO EL METODO DE SUSTITUCION
2x +3y = 2
-6x + 12y = 1

Answers

Answer:

x = 1/2; y = 1/3

Step-by-step explanation:

2x + 3y = 2     Eq. 1

-6x + 12y = 1     Eq. 2

Eq. 1

2x + 3y = 2

2x = -3y + 2

x = -3/2 y + 1

Eq. 2

-6x + 12y = 1

De Eq. 1 sabemos que x = -3/2 y + 1

-6x + 12y = 1

-6(-3/2 y + 1) + 12y = 1

9y - 6 + 12y = 1

21y - 6 = 1

21y = 7

y = 7/21

y = 1/3

Eq. 1

2x + 3y = 2

2x + 3(1/3) = 2

2x + 1 = 2

2x = 1

x = 1/2

Respuesta: x = 1/2; y = 1/3

Fill in the blanks with the correct verbs given below.

(croak, is ,brush, writes plays, chirp, combines, mows, are look , keeps rises ,has,

reflects leaves, walks, is)

1. Marry ......... to office every morning .Walking is good exercise.

2. We........ our teeth after dinner. It ..........them clean.

3. Salim......... for school everyday at 7:00 a.m.

4. The sun ..........at 5:00 a.m. these days. The days are getting longer.

5. The tiger ......an endangered animal. There are only 1410 tigers left.

6. Vikram Seth......... poetry, fiction and travelogues.

7. Sania Mirza......... tennis. She plays both singles and doubles.

8. Frogs....... ...and birds...........

9. Please ..........for my red shirt. I cannot find it.

10. The gardener ........ the loan once a week.

11. The moon ........the light of the sun.

12. The times of India......... a national newspaper.

13. The UN headquarters...... in Geneva.

14. Maya ........... a pet dog .Its name is Lily.

15. This book....... projects and activities.​

Answers

Answer:

Fill in the blanks with the correct verbs given below.

(croak, is ,brush, writes plays, chirp, combines, mows, are look , keeps rises ,has,

reflects leaves, walks, is)

1. Marry ...keeps rises...... to office every morning .Walking is good exercise.

2. We...brush..... our teeth after dinner. It .....makes.....them clean.

3. Salim....wakes..... for school everyday at 7:00 a.m.

4. The sun ...rises.......at 5:00 a.m. these days. The days are getting longer.

5. The tiger chirp......an endangered animal. There are only 1410 tigers left.

6. Vikram Seth.....combines........ poetry, fiction and travelogues.

7. Sania Mirza....plays..... tennis. She plays both singles and doubles.

8. Frogs....croak... ...and birds.....chirp......

9. Please ....look......for my red shirt. I cannot find it.

10. The gardener .....mows....... the loan once a week.

11. The moon ...keep rises.....the light of the sun.

12. The times of India......writes....... a national newspaper.

13. The UN headquarters.....is..... in Geneva.

14. Maya ...has........ a pet dog .Its name is Lily.

15. This book....writes..... projects and activities

Which statements below represent the situation? Select three options.

Answers

Answer:

where is the statement

Step-by-step explanation:

its incomplete po

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