In 2014 the population of 1500 quail decreases at an annual rate of 3%. In writing an exponential function to model the quail population, using f(t)=a(b)^t what is the value of a and b?

Answers

Answer 1

Answer:

a = 1500

b = 0.97

Step-by-step explanation:

Let's define 2014 as our t = 0.

Then t = 1 will be 2015, and so on.

We know that in 2014 the population was 1500.

It decreases at an annual rate of 3% or 0.03 in decimal form.

Then in 2015, the population was: 1500 - 1500*0.03 = 1500*(0.97)

In 2016, the population was: 1500*(0.97) - 1500*(0.97)*0.03 = 1500*(0.97)^2

We already can see the pattern.

t years after 2014, the population will be:

f(t) = 1500*(0.97)^t

Now, answering the question:

using f(t)=a(b)^t what is the value of a and b?

a = 1500

b = 0.97


Related Questions

If 2n - 7 = 5, what is the value of n?
*
A) 1
B) 6
C) -1
D) 12

Answers

The value of [tex]n[/tex] is 6.

First, you must add 7 on both sides.

[tex]2n=12[/tex]

Then, you must divide both sides by 2.

[tex]n=6[/tex]

In which place is 4 located in 3,477,609

Answers

Answer:

hundred thousands place

Step-by-step explanation:

Are they equal or diffrent angles

Answers

equal because the parallel lines :)

Find C, the total of the payments, and the monthly payment. Choose the correct answers. 2yc Interest(n) = m(n+1)

Joe Summers buys a gas grill and accessories. The cost, including tax, amounts to $850.00. Joe finances the grill over 12 months after making a $150 down payment. The true annual Interest rate is 14%. What are Joe's monthly payments (principal plus Interest)?

To the nearest penny, c = $ Total of payments = amount financed + c = $ Total of payments = number of payments = monthly payment = $​

Answers

Answer:

"$66.5

Step-by-step explanation:

The cost, including tax, amounts to $850.00.

Down payment =$150

Amount after paying down payment = $850-$150=$700

Interest rate = 14 %

So, interest on $700 =

So, c = $98

Total payment = amount financed + c  = 700+98=$798

Now Joe finances the grill over 12 months

So, no. of payments = 12

Now Monthly payment = Total of payments ÷ number of payments

                                      =798 ÷ 12

                                      =$66.5

Hence Joe's monthly payments (principal plus interest) is $ 66.5" i quoted so give the other person brainliest!

Step-by-step explanation:

a postal carrier can deliver to 130 houses in a 2.5 hour period. At this rate how many hours will it take to deliver to 312 houses?​

Answers

Answer:

6 hours

Step-by-step explanation:

If you take 130/2.5 you get 52 then you take 312/52 the answer comes out to exactly 6 hours.

Please help and leave a small explanation!

Answers

The answer is C because A and X are in the same place.
C because the angles match up together. Triangle ABC congruent to triangle XYZ. angle A = angle X, angle B is congruent to Y, angle C is congruent to Z. They match up. The vertex’s (B &Y are congruent) because they are both vertex’s. I hope this makes sense.

PLZ HELP!!! Will mark BRAINLIEST 41. In isosceles AABC, C is the vertex angle. If A = 3x - 6 and C = 2x, find the measure of B explain
a. 24
c. 48
b. 46
d. 66

Answers

Answer:

sorrry if wrong i thinks its A

Step-by-step explanation:

sorry i cant explain i can only help with first half

The serving size for toddlers daily vitamin C is 3/4 cup of orange juice if there are 21/4 cup of orange juice how many servings of vitamin C are there for a toddler

Answers

Answer:

3

Step-by-step explanation:

First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip)  9/4 x  4/3=36/12.  THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.

Is this rational or irrational I really need help ASAP! Will mark brainlist.
I need help with just the middle one.

Answers

Answer:

Rational

Step-by-step explanation:

Laura took a test and got 45 questions right which is a grade of 75%. How many questions were there in all?

Answers

Answer:

60 questions in total

Step-by-step explanation:

75% of 60 is 45

hope this helps :3

if it did pls mark brainliest

2 x 6 x 5 = 5 x 6x2
Commutative Property
Identity Property
Associative Property
Distributive Property

Answers

Answer:

commutative property

Step-by-step explanation:

the symbols didnt change, only the placement of the numbers. Commutative property is when the order of the numbers change and thats it.

Answer:

I would say the answer is commutative.

Step-by-step explanation:

I know that distributive property have parenthesis and the commutative property doesn't.

What is the equation of the line? Identify the values of A, B, and C in the
standard form of the equation.

The equation of line is
____

Answers

Answer:

-1

Step-by-step explanation:

Simplify 12^2 . 12^3

Answers

if you're multiplying then the answer is 12^5

when multiplying you add exponents

Give me the answers for a free brainly

Answers

Cockkkkkkkkkkkkkkkkkkkkkkkkkkkk

Assume a significance level of α=0.05 and use the given information to complete parts​ (a) and​ (b) below.
Original​ claim: Less than 51​% of adults would erase all of their personal information online if they could. The hypothesis test results in a​ P-value of 0.0148
a. State a conclusion about the null hypothesis.​ (Reject Upper H0 or fail to reject Upper H0
Choose the correct answer below.
A.Reject Upper H0 because the​ P-value is less than or equal to to α.
B. Reject Upper H0 because the​ P-value is greater than α.
C. Fail to reject Upper H0 because the​ P-value is greater than α.
D. Fail to reject Upper H0 because the​ P-value is less than or equal to α.
b. Without using technical​ terms, state a final conclusion that addresses the original claim. Which of the following is the correct​ conclusion?
A. The percentage of adults that would erase all of their personal information online if they could is less than or equal to 51​%.
B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51​%.
C. The percentage of adults that would erase all of their personal information online if they could is more than 51​%.
D. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51​%.

Answers

Answer:

A.Reject Upper H0 because the​ P-value is less than or equal to to α.

B.There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is more than 51​%.

Step-by-step explanation:

Given the claim :

Less than 51% will erase their personal information :

We take this as the null ;

H0 < 0.51 ;

Alternative hypothesis which is the opposite of the Null

H1 > 0.51

P value = 0.0148

α = 0.05

At α = 0.05 ; if p value is less than α ; reject the the Null

If p value is greater than Null ; then we fail to reject the Null

Pvalue < α

The P value is less than 0.05; then we reject the Null

B.) There is significance evidence to support the Alternative hypothesis claim, that the percentage of adult that would erase all their personal information online if they could is more Than 51%


2(5x−2)− 2x -2 =34
Solve for x

Answers

X equals five my guy

Please Help Me Thanks!​

Answers

Answer:

No solution

Step-by-step explanation:

add 3 both side

\sqrt{x-4}=-2

bob needs to mix 2 cups of orange juice concentrate with 3.5 cups of water to make orange juice. bob has 6 cups of concentrate. how much orange juice can he make? please explain​

Answers

Answer:

10.5

Step-by-step explanation:

First, divide 6 by 2. You get 3, right? So now you know that you multiply by three to get the answer. 3.5 * 3 will equal 10.5

If 2 cups of orange juice concentrate and 3.5 cups of water are needed to make a glass of orange juice, then 6 cups of orange juice concentrate will make 3 cups. This is because 6/2 is 3.

However, this answer is only correct if you also have the necessary amount of water. (2 x 3 is 6, so you will need to multiply 3.5 x 3 to determine how much water you'll need: 3.5 x 3 = 10.5).

Thus, given that you have the necessary amount of water, you will be able to make 3 cups of orange juice with 6 cups of concentrate.

Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain or show your reasoning.

Answers

Answer:

20 feet

Step-by-step explanation:

The horse is running 4 feet per second faster than horse B so you multiply that 5 times because it's after 5 seconds

Hope this helps!

Tom is the custodian at the local highschool. He has a circular key ring with 9 keys on it. How many different arrangements of those keys can Tom make on his key ring?

Answers

tom will have his key 10

Answer:

40,320.. took the test on USA test prep

Step-by-step explanation:

1936 —The electric guitar debuts.
1946 —Muddy Waters cuts the first records of Chicago's electric blues and Carl Hogan plays a powerful guitar riff on Louis Jordan's Ain't That Just Like a Woman.
1948—Columbia Records introduces the long playing (LP) vinyl record.
1949—Fats Domino cuts a new kind of boogie, The Fat Man.
1951—Cleveland disc jockey Alan Freed coins the term rock and roll.
1955—Elvis Presley’s Heartbreak Hotel makes him the first rock star.
1958—Billboard magazine begins their Hot 100 chart listing popular songs.
1959—The National Academy of Recording Arts and Sciences presents the first Grammy Award.
1959—Berry Gordy Jr. founds Motown Records. In the 1960s Motown stars include the Supremes, Stevie Wonder, and Marvin Gaye.
1961—Country Singer Patsy Cline becomes a mainstream pop music hit.
1964—The Beatles song I Want to Hold Your Hand is a sensation igniting the British invasion.
1969—The Woodstock Music and Art Fair, featuring such artists as Janis Joplin, Jimi Hendrix, the Who, and Joan Baez, is attended by hundreds of thousands of fans.
1975—CBGB (Country Bluegrass & Blues) club in New York showcases punk rock.
1977—The movie Saturday Night Fever popularizes disco music.
1978—Hip Hop, a blend of rock, jazz, and soul, is born in the South Bronx, characterized with African drumming.
1981—MTV music television debuts with nonstop music videos.
1983—Compact discs begin to replace vinyl records.
1984—Cyndi Lauper's Girls Just Wanna Have Fun moves up the charts. In his early teens, Ricky Martin begins his five-year stint with Menudo. Madonna releases her debut album; the single Holiday becomes a hit.
1985—Michael Jackson releases Thriller and the video becomes a classic.
1989—Britney Spears makes her musical television debut as an 8-year-old child on Star Search.
1990—Grunge rock rises in Seattle, featuring bands such as Nirvana and Pearl Jam.

Answers

Answer:

yes

Step-by-step explanation:

An EWMA control chart uses λ = 0.5. What is the value of L such that the control limits of this EWMA control chart in the steady state have the same width with a 3σ X_bar control chart?

Answers

Answer:

5.199

Step-by-step explanation:

From the  information provided;

We know that λ = 0.5.

However, the control limits for a steady-state EMWA control chart is:

[tex]\mu_o \pm L \sigma \sqrt{\dfrac{\lambda }{(2-\lambda )n}}[/tex]

where;

[tex]UCL = \mu_o + L \sigma \sqrt{\dfrac{\lambda }{(2-\lambda )n}}[/tex]

[tex]LCL = \mu_o- L \sigma \sqrt{\dfrac{\lambda }{(2-\lambda )n}}[/tex]

Given that the data is chosen from an individual sample;

Then; we can express the width as:

[tex]L \sigma \sqrt{\dfrac{\lambda}{(2-\lambda)}}= 3 \sigma[/tex]

[tex]L \sqrt{\dfrac{\lambda}{(2-\lambda)}}= 3[/tex]

[tex]L \sqrt{\dfrac{0.5}{(2-0.5)}}= 3[/tex]

[tex]L \sqrt{\dfrac{0.5}{(1.5)}}= 3[/tex]

[tex]L \sqrt{0.333}= 3[/tex]

[tex]L\times 0.577= 3[/tex]

[tex]L=\dfrac{ 3 }{0.577}[/tex]

L = 5.199

1 is 25% of what number?​

Answers

Answer:

25% of 4 is 1.

Step-by-step explanation:

100% of 4 is 4, therefore 25 percent of 4 equals 1.

the largest orange in a bag has the circumference of 9 5/8 inches. The smallest orange has a circumference
of 7 13/16 inches. Write the difference of the circumferences of the smallest orange and the largest orange

Answers

Answer:

1.81 inches

Step-by-step explanation:

Given that,

The circumference of the largest orange in a bag is [tex]9\dfrac{5}{8}\ \text{inches}[/tex] and that of smallest orange is [tex]7\dfrac{13}{16}\ \text{inches}[/tex].

Difference = largest orange - smallest orange

= [tex]9\dfrac{5}{8}-7\dfrac{13}{16}\\\\=\dfrac{77}{8}-\dfrac{125}{16}\\\\=\dfrac{29}{16}\\\\=1.81\ \text{inches}[/tex]

So,  difference of the circumferences of the smallest orange and the largest orange is 1.81 inches

A class has 10 boys and 15 girls. What is the ratio of boys to girls

Answers

10:15

10 to 15

10/15

Hope this helps

1. Choose the correct symbol to compare. 8/10
3/4
<
>
=

Answers

Answer:

I think 8/10 is greater?

Answer:

8/10 > 3/4

Step-by-step explanation:

8/10 = .80

3/4 = .75

.80 is greater :)

PLEASE PLEASE PLEASE HELP I really don’t understand this.

Answers

Answer:

The second option is the answer.

Step-by-step explanation:

Do f(x) first, and then plug that into g(x).

[tex]f(x)=\sqrt{x+3}[/tex]

[tex](g o f)(x) = \frac{\sqrt{x+3}^{2}+2 }{\sqrt{x+3}}=\frac{x+5}{\sqrt{x+3}}[/tex]

8 divided by 3/5=
I need HELP!!!!

Answers

Answer:

.53333

Step-by-step explanation:

Answer:

13 1/3

Step-by-step explanation:

8 ÷ 3/5

~Turn 8 into a fraction

8/1 ÷ 3/5

~Copy Dot Flip

8/1 * 5/3

~Multiply

40/3

~Simplify

13 1/3

Best of Luck!

thats the horizontal distance between (-7,-4) (12,-4)

Answers

The answer is 20.6 hope this helps

determine the area of a circle whose circumference is 70​

Answers

389.93 I think is the area
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