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monitta
3 years ago
15

Don has been tracking the population of a town. The population was 7,220 last year and has been increasing by 1.45 times each ye

ar. How can Don develop a function to model this?
Mathematics
2 answers:
shtirl [24]3 years ago
8 0

7220*1.45^x where 1.45 is the rate of growth.

Naddik [55]3 years ago
7 0

Answer: He will use exponential growth function to model the situation.

Step-to step explanation:-

Given: The population in  last year = 7,220

The growth factor of population = 1.45 each year

To calculate the population in coming years Don must use exponential growth function.

The exponential growth equation is given by :-

f(x)=Ab^x, where A is the initial population, b is the growth factor and x is the time period.

Then, the function model the given situation will be

f(x)=7,220(1.45)^x

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What are the coordinates of the center of the ellipse shown below?
photoshop1234 [79]

Answer:

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1

Then

h=7\\\\k = -3

So The coordinates of the center of the ellipse are (7, -3)

8 0
3 years ago
Read 2 more answers
What is 1/4 divided by 9/10 rewritten with an important fraction?
lutik1710 [3]

Step-by-step explanation:

{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}

{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}

{:}\hookrightarrow\sf \dfrac {10}{36}

{:}\hookrightarrow\sf \dfrac {5}{18}

8 0
2 years ago
A game is played using ne die. If the die is rolled and shows 3, the player wins $45. If the die shows any number other than 3,
I am Lyosha [343]

Answer:

-$13.5

Step-by-step explanation:

Let x be a random variable of a count of player gain.

- We are told that if the die shows 3, the player wins $45.

- there is a charge of $9 to play the game

If he wins, he gains; 45 - 9 = $36

If he looses, he has a net gain which is a loss = -$9

Thus, the x-values are; (36, -9)

Probability of getting a 3 which is a win is P(X) = 1/6 since there are 6 numbers on the dice and probability of getting any other number is P(X) = 5/6

Thus;

E(X) = Σ(x•P(X)) = (1/6)(36) + (5/6)(-9)

E(X) = (1/6)(36 - (5 × 9))

E(X) = (1/6)(36 - 45)

E(X) = -9/6 = -3/2

E(X) = -3/2

This represents -3/2 of $9 = -(3/2) × 9 = - 27/2 = -$13.5

3 0
2 years ago
Simplify (2+3)squared-16 divided by 2
seraphim [82]

Answer:

it would be 4.5

Step-by-step explanation:

basic explantion

step 1.    3+2 =5

step 2     5x5=25

step 3      25-16=9

step 4       9 divde by 2= 4.5

simplifyed it would be  25-16 ÷ 2

more deatialed explanation.

I added 3+2 to get 5 and i sqaured the 5 to get 25 becasue 5x5 is 25 then i took away 16 and got 9 then i divde 9 by 2 to get 4.5.  hope this helped!

4 0
2 years ago
Somebody please help me with this !!!
Damm [24]

Step-by-step explanation:

Case 1 :

3x + 2y = 6 \\ 4x + y = 2 \\ 3x = 6 - 2y \\ x =  \frac{6 - 2y}{3}  = \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) + y = 2 \\ 8 -  \frac{8y}{3}  + y = 2 \\  - 1.67y =  - 6 \\

y = 3.59 \\ x = 2 -  \frac{2y}{3}  \\x =  2 -  \frac{2 \times 3.59}{3}  \\  \\ x =  - 0.39

Case 2 :

3x + 2y = 6 \\ 4x  -  y = 2 \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) - y = 2 \\ 8 -  \frac{8y}{3}  - y = 2 \\   - 3.67y=  - 6 \\ y = 1.63

x = 2 -  \frac{2y}{3}  \\ x = 2 -  \frac{2 \times 1.63}{3}  \\ x = 2 - 1.087 \\ x = 0.913

7 0
3 years ago
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