Can someone help me with this? During a certain period of time about 2000 penguins had an annual growth rate of 19% why will the population of penguins be after 5 years? This is exponential growth and decay

Answers

Answer 1

Answer:

Future amount of penguin = 4,772.70

Step-by-step explanation:

Given:

Current amount of penguin = 2,000

Growth rate r = 19% = 0.19

Number of year n = 5

Find:

Future amount of penguin

Computation:

Future amount of penguin = Current amount of penguin[1+r]ⁿ

Future amount of penguin = 2000[1+0.19]⁵

Future amount of penguin = 4,772.70


Related Questions

There are 6 ouces of dough and 4 ounces of suase for each person at a party including yourself once you have a total of guest you buy exactly the needed amount of all ingredientsthe dough and sause weigh 130 ounces all together how many ounces of dough did you buy and how many ouces of suase did you buy and how may guests are coming to the party?

Answers

Answer:

Number of guests = 13

Sauce = 52 ounces

Dough = 78 ounces

Step-by-step explanation:

you are having a pizza making party. You will need 6 ounces of dough and 4 ounces of sauce for each person at the party (including myself the host) Once you have a total count of guests you have exactly the amount needed for ingredients. the dough and sauce that I have is 130 ounces all together. How many ounces of dough did I buy? Explain How many ounces of sauce did I buy? Explain How many guests are coming to the party? Explain

Dough = 6 ounces

Suase = 4 ounces

Dough + sauce = 6 + 4 = 10

Let x = total number of guests

Dough ingredients + sauce ingredients = 130

10x = 130

Divide both sides by 10

x = 130/10

= 13

x = 13

Number of guests = 13

Total ounces of dough = 6 ounces × 13 guests

= 78 ounces of dough

Total ounces of sauce = 4 ounces × 13 guests

= 52 ounces of sauce

Therefore,

Number of guests = 13

Sauce = 52 ounces

Dough = 78 ounces

19 x 50= _____ fifties

Answers

Answer:

950

Step-by-step explanation:

19 ×5

then add the zero

Stella sold five items at a
garage sale for $12.50, $2.75,
$0.50, $20.00, and $8.50.
How much money did she
make? Plz help

Answers

Answer:

$44.25

Step-by-step explanation:

12.5 + 2.75 + .5 + 20 + 8.5 =44.5

2.75 + .5 = 3.25

20 + 12.5 + 32.5

3.25 + 32.5 + 8.5 = 44.25

What is the solution of the system
of equations?
2x + 5y = 20
y=-2/5x-1

Answers

Answer: the answer is A

Step-by-step explanation

I Took The Quiz

Exit Ticket 12/01
1 of 1
POSSIBLE POINTS: 100
Last week, Mrs. Grant purchased a 3-pound package of strawberries for $6.84. This week she paid $10.24 for a 4-pound package of strawberries
What was the difference in the unit cost per pound that Mrs. Grant paid this week compared to last week?

Answers

Answer: $0.28

Step-by-step explanation: Pic is attached. Hope this helps. Sorry for the bad handwriting, I'm writing with a mouse.

A small fruit basket costs $8 and a large fruit basket costs $24. The small basket
contains 6 apples and 4 pears. The large basket contains 18 apples and 12 pears.
a. Write a system of linear equations to represent this situation.
b. Can you find the unit price of each fruit?​

Answers

Answer:One apple is 1.17

One pear 0.25

See below :)

Step-by-step explanation:

Expresiones algebraicas. 1- Escribe en el lenguaje algebraico las siguientes expresiones del lenguaje común. Dos terceras partes de un número. ____________________________ Un número menos su doble. ________________________________ La suma de los cuadrados de tres números. _____________________ El producto de dos números divididos por un tercer número.________________ La suma de tres números consecutivos. _____________________________

Answers

Answer:

Dos terceras partes de un número: [tex]\frac{2}{3}*x[/tex]

Un número menos su doble: x - 2*x

La suma de los cuadrados de tres números: x² + y² + z²

El producto de dos números divididos por un tercer número: [tex]\frac{x*y}{z}[/tex]

La suma de tres números consecutivos: x+(x+1)+(x+2)

Step-by-step explanation:

Una expresión algebraica es un conjunto de números y letras que se combinan con los signos de las operaciones aritméticas. En otras palabras, el lenguaje algebraico es el que utiliza letras, símbolos y números para expresar en forma breve y concisa enunciados en los que se pide realizar operaciones matemáticas.

Entonces, siendo x, y, z números al cual desear aplicar una operación aritmética, y teniendo en cuenta que:

dos terceras partes= [tex]\frac{2}{3}[/tex]doble: se calcula multiplicando el número por 2Cuadrado de un número n: se representa como n², y se calcula multiplicando el número por sí mismo.Producto: hace referencia a la multiplicación.Un número consecutivo se obtiene sumando una unidad al anterior.

las siguientes expresiones escritas en lenguaje algebraica serán:

Dos terceras partes de un número: [tex]\frac{2}{3}*x[/tex]

Un número menos su doble: x - 2*x

La suma de los cuadrados de tres números: x² + y² + z²

El producto de dos números divididos por un tercer número: [tex]\frac{x*y}{z}[/tex]

La suma de tres números consecutivos: es la suma del primer número, más el segundo que seria el primero más uno, más el tercero que seria el primero más 2. Esto es: x+(x+1)+(x+2)

PLEASE HELP!

Fill in the blank

1. 40 times the sum of 24 and 36

2. Divide the difference between 1,600 and 400 by 4


Answers

Answer:

A. The expression of "40 times the sum of 24 and 36" would be 40 x (24+36), and the value would be 2400.

B. for the words portion it would be "20 times the sum of 650 and 350", and the value of that expression is 20,000.

C. The expression of "divide the difference between 1,600 and 400 by 4" should be 1200 / 4, and if that is the correct way to format the expression then the value would be 300.

D. for the words portion it would be "100 times the sum of 78 and 12", and the value of that expression is 10,000.

Step-by-step explanation:

Answer:

40 times the sum of 24 and 36

40 × (24 + 36)

2400

20 times the sum of 650 and 350

20000

divide the difference between 1600 and 400 by 4

(1600 - 400) ÷ 4

300

100 times the sum of 78 and 12

9000

The sum of the measures of the three angles is equal to 180 degrees. What is the measure of angle B?
The angle measures of a triangle are shown

Angle A: (5x - 5) degrees

Angle B: (3x + 3) degrees

Angle C: (5x) degrees

Answers

Answer:45°

Step-by-step explanation:

First we need to find x

(5x-5)+(3x+3)+(5x)=180

Simplify

13x-2=180

Add 2 to each side

13x=182

Divide each side by 13

x=14

Now apply our x to angle B

3(14)+3

42+3

45

Angle B=45°

What is 38% of 96? just need someomne to walk me through it plz

Answers

Answer:

37.24

Step-by-step explanation:

ok so there's a strategy I got taught ready?

100%- 96.

38%-x

~cross multiply~

100x= 3724

÷100      ÷100

________________

x=37.24

Hope this helps :D   p.s- i recommend using this strategy :D

Answer:

38.96

Step-by-step explanation:

Ok so its hard to explain but 38% u move the percent sign 2 times to the left and then u get 38. then u put 96 as the decimal there it is!

Choose all pairs of points that are reflections of each other across both axes. A. (–412, 1) and (–1, 412) B. (2.5, –1) and (–212, 1) C. (4.2, –1) and (2.4, –1) D. (1, –2.25) and (–1, 214) E. (–2, 213) and (2, 213)

Answers

Answer:

The correct option is;

(-2, 213) and (2, -213)

Step-by-step explanation:

The reflection of a point across the x-axis is given as follows;

The coordinates of the point of the pre-image = (x, y)

The coordinates of the point of the image after reflection = (x, -y)

The reflection of a point across the y-axis is given as follows;

The coordinates of the point of the pre-image = (x, y)

The coordinates of the point of the image after reflection = (-x, y)

Therefore, from the given points, The reflection across the y-axis of the point (-2, 213) is (2, 213) and the reflection across the x-axis of the point (2, 213) is (2, -213)

For what value of a does the equation 3x+5=Ax+5

Answers

A=3. isolate the x by subtracting 5. 3x=Ax. divide by x. 3=x.

What is the difference of (-3.4x + 4.7) - (3 + 2.9x)?

A. -0.5x + 1.7

B. -6.3x - 1.7

C. -0.5x - 1.7

D. -6.3x + 1.7

Answers

Answer:

-6.3x +1.7

Step-by-step explanation:

(-3.4x +4.7) - (3+2.9x)

= - 3.4x - 2.9x +4.7 - 3

= - 6.3x + 1.7

Answer:

d

Step-by-step explanation:

your friend is choosing between two music download companies. MyTunes charges $2.50 per song. Great Songs charges $1.50 per song and has a one-time membership fee of $50. When will Great Songs be the better deal?

Answers

Answer:

After 100 songs

Step-by-step explanation:

2.50x=1.50x+50

.50x=50

÷.50

X=100

Great Songs will be the better deal after 100 songs.

What are mathematical operations?

Mathematical operations can also be defined by using built-in functions to subtract, divide, and multiply. The arithmetic operator is the one who conducts the arithmetic operation.

* Multiplication procedure: Values on both sides of the operator are multiplied.

For instance, 7×2 = 14

/ Division: Divides the left operand by the right operand

For instance, 4/2 = 2

MyTunes imposes a fee of $2.50 per song. Great Songs charges $1.50 for each song and includes a $50 one-time membership fee, as stated in the question.

Let the songs that come after Great Songs would be x, the better the deal.

⇒ 2.50x = 1.50x + 50

⇒ 0.50x = 50

Divided by 0.50 into both sides of the equation,

⇒ x = 100

Therefore, Great Songs will be the better deal after 100 songs.

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2.
Ms. Lecky ordered pizza for a party. 1 5/8 of the vegetarian pizza and 2/3
of the ham and pineapple pizza were not eaten. How much pizza was left

Answers

x = 1 5/8 + 2/3

Convert to improper fraction
x = 13/8 + 2/3

Use common denominator
x = 39/24 + 16/24

x = 55/24

Reduce the fraction
x = 2 7/24

Julián invito a sus amigos a comer una pizza. Él comió 2/8 del total. Juan comió el doble que Julián y mica comió la mitad de lo que comió juan. a- ¿Cuántas porciones tenía la pizza? b- ¿Cuántas comió Julián? c- ¿Cuántas comió juan? d- ¿y Mica? e- ¿Cuántas porciones sobraron? f- Demuestra con un gráfico tus respuestas.

Answers

Answer:

a) La pizza tenía 8 porciones.

b) Julián comió 2 porciones.

c) Juan comió 4 porciones.

d) Mica comió 2 porciones.

e) No sobraron porciones.

f) Véase la imagen adjunta para mayor detalle.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] las razones de consumo de Julián, Mica y Juan, de acuerdo con una lectura cuidadosa del enunciado tenemos que:

[tex]x+y+z=1[/tex] (1)

(i) Julián comió 2/8 del total:

[tex]x = \frac{2}{8}[/tex] (2)

(ii) Juan comió el doble que Julián:

[tex]z = 2\cdot x[/tex] (3)

(iii) Mica comió la mitad de lo que comió Juan:

[tex]y = \frac{1}{2}\cdot z[/tex] (4)

Al aplicar (2) en (3), tenemos que Juan comió:

[tex]z = \frac{4}{8}[/tex]

Y ahora se aplica el resultado anterior a (4):

[tex]y = \frac{1}{2}\cdot \frac{4}{8}[/tex]

[tex]y = \frac{2}{8}[/tex]

a) El total de porciones queda representado en el denominador de las fracciones calculadas. Por tanto, la pizza tenía 8 porciones.

b) El número de porciones consumido por cada persona está representada por el numerador de las fracciones calculadas. Por tanto, Julián comió 2 porciones.

c) Juan comió 4 porciones.

d) Mica comió 2 porciones.

e) No sobraron porciones en tanto que la suma de porciones consumidas de las tres personas es igual al valor del denominador.

f) A continuación, anexamos el gráfico correspondiente que sustenta todos los cálculos matemáticos hechos en puntos anteriores.

What is the radius of a
cylinder with a
diameter of 18 cm?

Answers

The radius of the cylinder with a diameter of 18 cm is 9 cm.

Radius

The distance between the center of a circular body and the circumference of the circular body is known as Radius.

How to determine the radius of the circle?

The diameter of the base of the cylinder is 18 cm.

The radius of the circular base is equal to half of the diameter of the circular base.

So,

[tex]R=\dfrac{D}{2}\\=9\text{ cm}[/tex]

Thus, the radius of the base of the cylinder with a diameter of 18 cm is 9 cm.

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Shauna is making accessories for the soccer team. She uses 843.81 inches of fabric on headbands for 29 players and 4 coaches. She also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

the  25.57 inches and 9.64 inches is the fabric used for headband and wristband for each player

Step-by-step explanation:

The computation of the fabric used on a headband and wristband for each player is as follows:

For headband

= 843.81 inches ÷ (29 players + 4 coaches)

= 843.81 inches ÷ 33

= 25.57 inches

And, for the wristband, it would be

= 279.56 inches ÷ 29 players

= 9.64 inches

Hence, the  25.57 inches and 9.64 inches is the fabric used for headband and wristband for each player

Complete the point-slope equation of the line through (-1,-10) and (5,2) y-2=

Answers

62 to the third power hope this was helpful

A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. How many blue marbles are in the bag? Explain your reasoning.

Answers

Answer:

126

Step-by-step explanation:

21 + 4 = 25  (blue plus white marbles)

150/25 = 6 (all the marbles divided by how many we know are white and blue)

21 x 6 = 126  

Please help! I’ll give brainliest to whoever answers first :)

Answers

Answer:

Step-by-step explanation:

a triangles angles add up to 180

subtract 102 from 180

180-102

that’s 78

a and b are equal so divide 78 by 2 to get 39

a and b are both 39

Answer:

A= 39 B= 39

Step-by-step explanation:

A triangle = 180 degrees

subract the 102 from 180 to get 78

the tqo angles are equal because of the dashes which means you can divide 78 by 2 to get the answer.

list them from least to greatest, -45, 3.5, -6, 0, 23

Answers

Answer:

-45, -6, 0, 3.5, 23

Step-by-step explanation:

Negatives then positives.

Answer:

-45, -6, 0, 3.5, 23

Step-by-step explanation:

Riddle, do not google
What can you hold in your right hand, but never in your left hand?

Answers

Answer:

Your left hand: is your answer

Answer:

your left hand omg if i got this than pleas give me branlyist

The standard form of y = -x + 2 is x + y = 2.
Group of answer choices

True

False

Answers

The answer to this is true

Write an expression equivalent to: -3(6x-10)

Answers

Answer:

Pemdas:

Step-by-step explanation:

-3*6x then -3*10

-18x+30= -0.6

I need help with this one exercise to finish so any help would be greatly appreciated!
|4x - 3| + 10 < 2

Answers

Answer:

No Solutions

Step-by-step explanation:

for |4x -3| + 10 < 2

|4x - 3| < -8

Not possible since absolute value is positive

Question 8
In the figure below, the area of Square 1 is 169 cm2 and the perimeter of Square 2 is 48 cm. What is the area of Square 3?​

Answers

Answer:

I’m pretty sure it’s 23

Step-by-step explanation:

Answer:

I THINK it's 15

Step-by-step explanation:

1.1 repeating decimal as a simplified fraction

Answers

Answer:

11/10 i think... may be wrong

Step-by-step explanation:

Answer:

10/9 is the answer.

Step-by-step explanation:

Determine if it’s a function or not

Answers

Answer:

C is not a function but D is

Step-by-step explanation:

For one input, you can only have one output for this to be a function. For table C, the input of 4 has 4 different outputs, so it cannot be a function.

D is a function however, because each input has only one output, even if the output is the same number.

The number of apps a developer sells daily has the probability distribution represented in the table.


Number of Apps, x | 0 20 40 60 80 100
P(x) 0.05 0.25 | 0.18 0.12 0.3 0.1

If each app sells for $5.99, what is the expected daily total dollar amount taken in by the developer from the sale of apps?
A. $5.99
B. $53.40
C. $59.90
D. $314.22
E. $319.87

Answers

Answer:

Total amount taken in by the depeloper from the sale of apps = sum(5.99 * x * P(x))

= 5.99*0*0.05 + 5.99*20*0.25 + 5.99*40*0.18 + 5.99*60*0.12 + 5.99*80*0.3 + 5.99*100*0.1

= 319.87

Ans: $319.87

Step-by-step explanation:

The expected daily total dollar amount taken in by the developer from the sale of apps is $319.87 option (E) is correct.

What is uniform distribution?

The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.

We have:

The number of apps a developer sells daily has the probability distribution represented in the table:

Number of Apps, x       0      20    40     60      80    100

P(x)                              0.05  0.25  0.18   0.12     0.3     0.1

Each app sells for $5.99

We can calculate the expected daily total dollar amount taken in by the developer from the sale of apps:

The total amount is taken in by the developer from the sale of apps:

= sum(5.99x[P(x)])

= 5.99×0×0.05 + 5.99×20×0.25 + 5.99×40×0.18 + 5.99×60×0.12 +

   5.99×80×0.3 + 5.99×100×0.1

= 0 + 29.95 + 43.128 + 43.128 + 143.76 + 59.9

= 319.866 ≈ $319.87

Thus, the expected daily total dollar amount taken in by the developer from the sale of apps is $319.87 option (E) is correct.

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