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

A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.
Provide your answer below:

Answers

Answer:

12

Step-by-step explanation:

Pythogorean Theorem:

a squared + b squared = c squared

9 squared or 81 + ? squared = 15 squared or 225

Inverse Pythagorean Theorem:

c squared - a squared = b squared

225 - 81 = 144

sqrt (144) = 12

12 = b

Hope this helps! Good luck!

The term "jet stream" is often used by weather forecasters to describe
A: The cloud-like condensation trails that are sometimes seen behind jet aircraft.
B: Warm pacific winds associated with volcanic activity in the western pacific which carry heat to the north pole
C: Solar winds that bring high energy particles to the upper atmosphere, providing heat which sets off convection cycles disturbing weather in the tropical latitudes
D: The west to east winds that circle the globe, often just below the poles in latitude and just beneath the stratosphere in elevation

Answers

Answer:

daddy chill what does the man say?

Step-by-step explanation:

???

D; it’s the big winds that circle around the globe

I WILL MARK BRAINLIST

Answers

Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It translates 5 up and 3 left

store A Sells a set for $26 and offers a 15% discount

Answers

Answer:

Step-by-step explanation:

20% of $1200 is $240

(0.2∗1200)=$240

Now subtract that number from 1200

1200−240=$960

try this example

Answer:

$22.10

Step-by-step explanation:

First you would multiply 26 by .15, which represents 15%, or 15/100. After you multiply, you will get 3.9. 3.9 represents the discount of the price. Since it is a discount, you suntract 3.9 from 26, and you get 22.1.

Choose the function that shows the correct transformation of the quadratic function shifted elght units to the right and
one unit down.
f(x) = ( x - 3)^2+1
f(x) = ( x - 8)^2 - 1
f(x) = ( x + 8)^2+1
f(x) = ( x + 8)^2-1

Answers

Answer:

f(x)=(x-8)^2 -1

What is the coefficient in the expression 3-15r?

Answers

Answer:

15

Step-by-step explanation:

Coefficient means the number in front of the variable (like r) or term (a letter).

In your expression 3-15r, 15 is the coefficient.

I hope this helps.

Is Oregon a swing or a safe state?

Answers

Answer:

Oregon is a safe state

Step-by-step explanation:

this election it is also democratic

Use: Ck
n!
k! (n-k)!
to solve the combination.
During a lunch seminar chocolate,
caramel, and strawberry toppings
were available. How many two-topping
sundaes are possible?

Answers

Answer:

3

Step-by-step explanation:

Chocolate-caramel

Carmel- strawberry

Chocolate-strawberry

That’s 3 ways.

Hannah invested $820 in an account paying an interest rate of 1.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 16 years?

Answers

Answer:

$1,093.67 = $1,100 rounded to th next $100

Step-by-step explanation:

Final investment value

$1,093.67

Total interest earned

$273.67

Initial balance

$820.00

Total monthly deposits

$0.00

Effective Annual Rate (APY)

1.816%

The formula used in the compound interest calculator is A = P(1+r/n)^(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

Answer:

1100

Step-by-step explanation:

which of the following statements is true?

A: 1.7 less than 1 1/2

B: 3/4 less than pr equal to 7/8

C: -1 1/2 less than -1.5

D:0.01 greater than 0.q​

Answers

Answer:

the answer will be A 1.7 less than 1 1/2

help!! math question!

-4[tex]\frac{2}{5}[/tex] ÷ ( -5)

Answers

Answer:

is 22 over 25 and in decimal will be 0.88

Your answer would be -22
——
25

the length of a rectangle is 7m more than twice the width, and the area of the rectangle is 99m to the second power. find the dimensions of the rectangle.​

Answers

Answer:

The area of a rectangle is 99 m^2 , and the length of the rectangle is 7 m more than double the width

Step-by-step explanation:

help and u get the brain thing

Answers

Answer:

16%

Step-by-step explanation:

............16%...........

7 is ten times the value of _?

Answers

Answer:

0.7

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

is you multiply 0.7 by ten you get 7

Sasha traveled 200 miles in 4.5 hours at this rate how many miles can you travel in 10 hours round your final answer to the nearest mile

Answers

Answer:

844miles

Step-by-step explanation:

its 844 miles

Can someone factor f(x)= 2x^4 -12x^3 +6x +20x and please show steps thank you

Answers

Answer:

I dont think the way you wrote it was right.

Step-by-step explanation:

Answer:

f(x) = 2x(x - 5)(x -2)(x + 1)

Step-by-step explanation:

Given

f(x)= 2x^4 -12x^3 +6x^2 +20x

Factoring in steps

f(x)= 2x^4 -12x^3 +6x^2 +20x =2x(x^3 - 6x^2 + 3x + 10) =2x(x^3 - x^2 - 2x - 5x^2 + 5x + 10)2x(x - 5)( x^2 - x - 2) = 2x(x - 5)(x -2)(x + 1)

In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.

Answers

Answer: 0.48 .

Step-by-step explanation:

The sample proportion is a ratio of number of successes in a sample to the sample size.

Let p be the proportion of voters actually voted for the Republican presidential candidate.

Given:   In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate.

Sample proportion: [tex]\hat{p}=\dfrac{48}{100}=0.48[/tex]

Hence, the sample proportion is 0.48 .

What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, .
ΟΟΟΟ
-6
-4
4
6

Answers

The sequence you add 6 each time so I say 6

Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?

Answers

5,300. 6.5. 6 is how you get the answer


Please answer this question! as fast as possible please anyone help

Answers

the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be

y=3x+-3

Jack spent $6.34 on haircut. $35.70 on groceries and $18.77 on a cake. How
much money has he left, if he had $88.76 to start with?

Answers

$88.76 - $6.34 - $35.70 -$18.77 = $27.95

12x64, 7th grade math

Answers

Answer:

768

Step-by-step explanation:

Answer:768

Step-by-step explanation:

Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

Answers

Complete question is;

Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.

Answer:

Deposits are; +21.68, +42.09, and +65.44.

Withdrawals are; -4.64, -23.11, and -9.78

Step-by-step explanation:

We are told that the deposits are;

$21.68, $42.09, and $65.44.

Now, she withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.

We are told to write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.

A rational number is a number that can be expressed as the ratio of two integers. In this question, by inspection, all the given values for deposits and withdrawals can be expressed as the ratio of 2 integers.

Thus;

Deposits are; +21.68, +42.09, and +65.44.

Withdrawals are; -4.64, -23.11, and -9.78

If a data set is negatively skewed, which would be the best measure of spread? Select one:

Interquartile Range

Standard Deviation

Range​

Answers

Answer:

Not real sure, but it should be Standard Deviation, if a data set is negatively skewed it would need a good measure for data spread.

The residual for a predicted relative abundance when the rainfall was 3 inches is 1.25. What is the actual relative abundance when the rainfall was 3 inches

Answers

Answer:

The actual relative abundance will be "7.59".

Step-by-step explanation:

The residual on something like a curve anywhere at a point becomes expressed as the maximum at either the position between some of the real y-value as well as the expected y-value. Consequently, the difference regarding true relative abundance as well as expected relative abundance seems to be 1.25 whether we presume that the x-variable represents rainfall, as well as they-variable, represents the relative abundance of locusts.

The predicted relative abundance for 3 inches rainfall will be:

= [tex]6.7 - (0.12\times 3)[/tex]

= [tex]6.34[/tex]

The residual will be:

= [tex]actual - predicted \ relative \ abundance[/tex]

= [tex]1.25[/tex]

Now,

The actual relative abundance will be:

= [tex]1.25 + predicted \ relative \ abundance[/tex]

= [tex]1.25 + 6.34[/tex]

= [tex]7.59[/tex]

Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.

PLLLLLLLLLLLLLLLZZZZZZ HELP IVE BEEN STUCK ON THIS ONE

Answers

Answer:

yeet device and hope it breaks.

Step-by-step explanation:

Take a picture and say it died

Which interval for the graphed function has a local minimum of 0?

Answers

Answer: your answer would be   [2, 4]

Step-by-step explanation:

tell me if im wrong please

What is the answer here

Answers

Answer is B. 6a/b^7

If correct make brainliest?

f(x) = 3 (x-3)
D:
R:

Answers

i have d anqhsisgdigiis

Which graph represents the function f(x)=4/x
?

Answers

Answer:

graph shown below

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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