A species of fish was added to a lake. The population size Pt of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t) = 1000+(12e^−0.34t)where t is the number of years from the time the species was added to the lake.
Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary.

Answers

Answer 1

Answer:

1,012 ; 1,001

Step-by-step explanation:

Given the population function :

P(t) = 1000+(12e^−0.34t)

where t is the number of years from the time the species was added to the lake.

Initial population size of the species ; that is the population at year 0

At time, t = 0

P(0) = 1000+(12e^−0.34(0))

= 1000 + (12e^0)

= 1000 + 12(1)

= 1012

Initial population = 1,012

Population after 9 years :

P(9) = 1000+(12e^−0.34(9))

= 1000 + (12e^-3. 06)

= 1000 + (12×0.0468876)

= 1000 + ( 0.5626523)

= 1000.5626

= 1001 ( nearest whole number)


Related Questions

Wnite in scientific notation: 254.000​

Answers

answer:

254x10^3

reasoning:

to do scientific notation, you multiply the main number by 10 and ^ the number of zeroes

helpp! subtract

8/9-1/3​

Answers

Answer:

=5/9 or 0.5

Step-by-step explanation:

Answer:

0.55

Step-by-step explanation:

8/9-1/3

8*1/9*1 - 1*3/3*3

8/9 - 3/9

8-3/9

5/9

0.55

Write the equation of the line through the given point. Use slope-intercept form.
3
(-4,6); perpendicular to y = -
2x+3
Write an equation for the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation)

Answers

Answer:

2y=x+16

Step-by-step explanation:

condition for a perpendicular line to the previous line is that the gradient M1=-1/M2. looking at the question above the equation of the line given y=-2x+3 that is the first M1=-2. so to get the gradient M2 of the line perpendicular, then M2=-1/-2=1/2. so M2=1/2. so the equation of the new line is y=1/2x+C. so we can find C. since the line passes through (-4,6). when x=-4, y=6, 6=1/2(-4)+C..C=6+2=8. so the equation of the new line y=1/2x+8 we can multiply via 2. so we have 2y=x+16

the equation is 2y=x+16

What is the distance between (2,-1) and (2,5) rounded to the nearest 10th

Answers

Answer:

            5.0

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(2-2)^2+(5+1)^2}=\sqrt{0^2+5^2}=\sqrt{25}=5[/tex]

2. Solve for b: c=a/b

Answers

Answer:

b=a/c

Step-by-step explanation:

PLEASE HELP WILL MARK AS BRAINLIEST

Answers

Answer:

[tex]\boxed{\bold{\huge{\boxed{Area\ of\ Trapezium = 150\ cm\²}}}}[/tex]

Step-by-step explanation:

Using Pythagorean Theorem first to find EC

[tex]\sf CB^2 = EB^2+EC^2\\Where \ CB = 13 \ and \ EB = 5 \\13^2 = 5^2 + EC^2 \\169 - 25 = EC^2 \\EC^2 = 144\\Taking \ sqrt \ on \ both \ sides\\EC = 12 \ cm[/tex]

Given that:

AE = EC

AE = 12 cm

Now,

AB = AE + EB

AB = 12 + 5

AB = 17 cm

ABCD is a trapezoid / trapezium

So,

Area of Trapezium = [tex]\sf \frac{AB+DC}{2} (EC)[/tex]

Where AB = 17 , DC = 8 and EC = 12

Area of Trapezium = [tex]\sf \frac{17+8}{2} ( 12)[/tex]

Area of Trapezium = (25)(6)

Area of Trapezium = 150 cm²

Find the distance and midpoint for the points (7, 10) and (1,2).​

Answers

d=sqrt (7-1)^2 + (10-2)^2
= sqrt 36+64
=sqrt 100
=10

Midpoint= (7+1)/2 , (10+2)/2
= (4, 6)

Hope this can help.

during the week. Jimmy spent $45 eating out, gain $55 mowing lawns and spent $15 on gas. What was Jimmy’s change in dollars at the end of the week?

Answers

Answer:

5

Step-by-step explanation:

Let's look at the question.

Spent- He spent 45 dollars eating out.

He spent an additional 15 dollars on gas

Earned- He earned 55 dollars from mowing lawns

Earned is going to be a positive value.

Spent is going to be a negative value.

The situations don't matter in the context of the question. They are just asking how much he got charged.

The amount charged is always positive. You can never have a negative charged amount of money. That would mean the bank owed you money, which would never happen.

Let's substitute the values into an equation.

The variable C will stand for amount charged.

C = -45 + 55 - 15

Combine the negative values to get -60

Add -60 to 55.

You will get -5, which then you will have to take the absolute value of.

The absolute value will be the charge in dollars at the end of the week.

Jimmy’s change in dollars at the end of the week will be - 5 dollars.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Jimmy spent $45 eating out, gain $55 mowing lawns and spent $15 on gas.

Now,

Let the total amount Jimmy have = x

Since, Jimmy spent $45 eating out, gain $55 mowing lawns and spent $15 on gas.

Hence, After spent $45 on eating, we get;

The left amount = x - $45

And, After spent $55 on mowing lawns, we get;

The left amount = x - 45 + 55

                         = x + 10

And, After spent $15 on gas.

The left amount = x + 10 - 15

                         = x - 5

Thus, At the end of the week, he ended up with 5 dollars less than he started, so the change is -5 dollars.

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Question 6 (1 point) If the area of a square is 121 square inches, what is the perimeter of the square? inches​

Answers

Answer:

  44 inches

Step-by-step explanation:

The side length is the square root of the area:

  A = s^2

  121 in^2 = s^2

  √(121 in^2) = s = 11 in

The perimeter of a square is 4 times the side length (since all four sides are the same length).

  P = 4s = 4(11 in) = 44 in

The perimeter of the square is 44 inches.

Question Given:

The area of a square is 121 square inches, what is the perimeter of the square? inches

Answer:

The perimeter = 44 inches

Explanation:

Area = 121 inches²

.°. Length of a side = √(121 inches²) = 11 inches

Now,

Perimeter of the square =

Length of a side×4

= 11 inches × 4

= 44 inches.

▬▬▬▬▬▬▬▬▬▬▬▬

Classify the equation, 7x + 2 = 7x - 3, as having one solution, no solution, or infinitely many solutions.
The equation has

Answers

Answer:

No solution

Step-by-step explanation:

To solve this, we subtract 7x from both sides to get 2=-3. Since 2 does not equal to negative 3, there is no solution.

Simplify: 6 ÷ 3 + 32 · 4 − 2

Answers

Answer:

Use PEMDAS.

Parentheses: none.

Exponents: none.

MD, from left to right

6/3 = 2

2 + 32 x 4 - 2

32 x 4 = 128

2 + 128 - 2

2 + 128 = 130

130 - 2 = 128

PLEASE MARK BRAINLIEST SO EVERYONE CAN SEE

Answer:

36

Step-by-step explanation:

An electric company calculates a person's monthly bill from the number of
kilowatt-hours (kWh), x, used,
x 200
The function b(ar) = {
0.102,
0.15(x - 200) +20, < > 200
determines the
bill
How much is the bill for a person who uses 600 kWh in a month?
A. $70
ООО
B, $60
C. $40
D. $80

Answers

Answer:

$80

Step-by-step explanation:

If a person's monthly bill from the number of  kilowatt-hours (kWh), x is modeled by the equation b = 0.15(x - 200) +20, to know the bill for a person who uses 600 kWh in a month, we will substitute x = 600 into the modeled equation as shown;

[tex]b(x) = 0.15(x - 200) +20\\\\b(600) = 0.15(600 - 200) +20\\\\b(600 )= 0.15(400) +20\\\\b(600 )= 15/100*(400) +20\\\\b(600 )= (15*4)+20\\\\b(600 )= 60+20\\\\b(600 )= 80[/tex]

Hence the bill for a person who uses 600 kWh in a month is $80

Can someone pls answer these two math questions?​

Answers

That’s harddddd lol

The temperature in Minneapolis, Minnesota, at 4 P.M. was 15°F. By midnight, the temperature had deceased by 18°. What was the temperature in Minneapolis at midnight?

Answers

Answer:

23F

Step-by-step explanation:

Given the check digit is 3, find the missing X for the master card number 5164 2X13 2705 0183

Answers

Answer:

9

Step-by-step explanation:

So there's 3 1's, 2 2's, 2 3's, 1 4, 2 5's, a 6, a 7, an 8, 2 0's, and no 9's.  

Which of the following
is equivalent to 3/7 ?
Select your answer(s) below

Answers

Answer:

there is no choices but i can tell you some

as a decimal 0.429

6/14

12/28

multiply it by two every time

Step-by-step explanation:

Is –6 × 8 positive or negative?

Answers

Answer:

Negative

Step-by-step explanation:

- x + = negative

+ x - = negative

- x - = positive

+ x + = positive

It is negative, because positive times negative=negative.

Here is a list of numbers.
-8, -5, -3,-2,0,2,4,9

(a) Write down two numbers from the list that have a difference of 10.

Answers

Answer: 2 and -8

Explanation:

2 -(-8) = 2 + 8 = 10

So the difference from 2 to -8 is 10

Answer:

2, -8

|2| = 2, |-8| = 8 (absolute value)

2+8=10

Mary has three baking pans. Each pan is 8"×8"×3" which expression will give her the total volume of the pans?

Answers

Answer:

(8^2*3)*3 is the correct answer

next time you ask a question put the answer choices in your question

Lilly bought 4 pairs of jeans at a cost of $39 each how much did she give the clerk write a multiplication problem and then find the answers​

Answers

Answer:

It's simple. 4x39=156

Step-by-step explanation:

add 39 4 times. 39+39+39+39=156

what is a common multiple for 4,8,10​

Answers

A common multiple is 2

Multiples of 4, 8, 10

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

8 = 8, 16, 24, 32, 40

10 = 10, 20, 30, 40

A common multiple = 40

James wrote a number in which the digit 6 represents 6 hundredths. If he wants the value of the digit 6 in his next number to be 10 times smaller, where should he place the decimal point?

Answers

Answer:

Step-by-step explanation:

He would put it in the thousandths digit.

0.06 = 6 hundredths

0.006 =  6 thousandths

round 799to the nearest ten

Answers

Answer:

800

Step-by-step explanation:

the tenth is the second 9 and the 9 before it makes it round up

Thus, the second 9 rounds up also

Therefore, it changes the 7 to a 8 and the 9s are now 0s

hope it helps :)

A nurse mixes 40 cc of 60% saline solution with a 30% solution to produce a 35% salone solution How much of the 30% solution should he use?

Answers

He should use 100 cc

simplify each expression​

Answers

Answer: Answer

Step-by-step explanation:

1. -83

2. 40

3. -38

4.  0

Please check my math!

Answer:

1 answer is39

2 answer is71

3 answer is38

4 answer is20/7

Step-by-step explanation:

Hope it is helpful for you

if it is please follow me and

mark me as brainest

Aaliyah bought 23 chicken wings for $39.10. If Aaliyah spent $32.30, how many chicken wings did she buy?​

Answers

Answer:

19 chicken wings

Step-by-step explanation:

For $39.10=23 chicken wings

For $1=23/39.10 chicken wings

For $32.30=23/39.10 x 32.30= 19 chicken wings

The person that answer is right

Is 63 ÷ –7 positive or negative?

Answers

Answer:

Negative

Step-by-step explanation:

Answer:

Negative

Step-by-step explanation:

A positive divided by a negative is a negative.

An angle measures 50° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

20° and 70°

Step-by-step explanation:

Complementary angles sum up to 90°.

The angle = x

Its complement = x + 50

x + x + 50 = 90

2x = 40

x° = 20°

20+50=70

Answer: 70°  and 20°

Step-by-step explanation:

Complementary angles add up to 90 degrees  and we now that one angles measure is 50 degrees less than the other. So we can represent it by the expression   x = y -50    where x  and y are the two angles. We don't the value of y so it will be just y .

Now we know that if we add them,they will equation 90 degrees so we can represent it by the equation,

y + y-50 = 90  Now solve for y

2y - 50 = 90  

      +50  +50

2y = 140

y = 70  

Now we know one angles is 70 degrees and the other is 50  less than it so the other angle will be   70 - 50 = 20  

Sienna is measuring a rectangular canvas on which she wants to paint. One side of the canvas is 11.4 inches long, and the shorter side is 8.3 inches. What is the area of the canvas, rounded to the correct amount of significant digits

Answers

Answer:

(95)

Hope I helped you

The area of the canvas if, One side of the canvas is 11.4 inches long, and the shorter side is 8.3 inches is 94.62 inches².

What is rectangle?

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.

Given:

One side of the canvas is 11.4 inches long,

the shorter side is 8.3 inches,

Calculate the area of the canvas as shown below,

Area of the canvas = Length of the longer side × length of the shorter side,

Area of the canvas = 11.4 × 8.3

Area of the canvas = 94.62 inches².

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Expand:
x(2x-5)
2x(3x+4)
6x(x-2y)

Answers

2x^2-5x6x^2+8x6x^2-12xysorry i dont have square syombol so, forthat i have used exp.syombol
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