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Phantasy [73]
2 years ago
10

A small country is made up of two islands: a big island and a small island. There are currently 530,000 people living on the two

islands. Each year, 3% of the people on the big island move to the small one, and 7% of the people on the small island move to the big one. Assuming the population of the country remains at 530,000, how many people will eventually live on the big island?
Mathematics
1 answer:
Stells [14]2 years ago
7 0

Answer:

  371,000

Step-by-step explanation:

The population will stabilize at a level that has the same number moving in each direction each year. If "b" and "s" represent the numbers of people on the "big" and "small" islands, respectively, we want ...

  b + s = 530,000

  .03b = .07s

From the second equation, ...

  s = (3/7)b . . . . . divide the above equation by .07 and simplify

Substituting this into the first equation, we get ...

  b + (3/7)b = 530,000

  (10/7)b = 530,000 . . . . collect terms

  b = (7/10)(530,000) = 371,000 . . . . . . divide by the coefficient of b

The big island population will stabilize at 371,000 people.

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Alexxx [7]

Answer:

A

Step-by-step explanation:

Antonia: 150 x 12 + 4,500 = 6,300

Cal: 250 x 12 + 3,400 = 6,400

5 0
3 years ago
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute
RUDIKE [14]

Answer:

The function notation is given as:

$6 + $30 × x

f(x) = $6 + 30x

The dog walker charges $28.50

Step-by-step explanation:

Let the hourly rate be represented by x

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30.

The function notation is given as:

$6 + $30 × x

F(x) = $6 + 30x

How much does the dog walker charge for a 45 minute walk?

We have to convert 45 minutes to 1 hour

60 minutes = 1 hour

45 minutes = x

x = 45/60

x = 3/4(hour)

Putting that in the function notation:

f(x) = $6 + 30x

x = 3/4

$6 + 30(3/4)

$6 + $22.5

= $28.50

Therefore, the dog walker charges $28.50

7 0
3 years ago
A function is defined by f(x)=x/4, what is f(-8)
barxatty [35]
F(x) = x/4
so
f(-8) = -8/4 = -2
answer
f(-8) = -2
4 0
3 years ago
Read 2 more answers
What is 16.92 x 8.4 how much is the sum.
lana66690 [7]

16.92 × 8.4 = 142.128

This is called the product

6 0
3 years ago
Read 2 more answers
Blake has a collectors' card that he bought for $42.00. The card is now worth $87.00. What is the percent of change in the value
Stels [109]
Change in value = 87 - 42 = 45
percentage change = 45/42  x 100 = 107%
6 0
3 years ago
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