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Stels [109]
3 years ago
9

A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the po

pulation be after 9 years?
Mathematics
1 answer:
brilliants [131]3 years ago
4 0

Answer:

546,397 people

Step-by-step explanation:

We solve for the above question, using the formula for Exponential growth

The formula is given as

P(t) = Po (1 + r)^t

Po = Initial population = 310,000

r = Exponential growth rate = 6.5% = 0.065

t = Time in years = 9

P(t) = Population size after time t

Hence:

P(t) = 310,000 × (1 + 0.065)⁹

P(t) = 546,396.82088 people

Approximately =546,397 people

The population will be 546,397 people after 9 years.

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Assume these are weekly. Matthew worked 8 hours at $9 a hour. Taxes were 16%. How much money was left?
guapka [62]

Number of hours worked: 8

earning per hour = $9

tax = 16%

First, multiply the number of hours by the earnings per hour:

8 x 9 = $72 (total earnings)

Now, find the tax amount by multiplying the total earnings by the tax percentage in decimal form (divided by 100)

72 x (16/100)= 72 x 0.16 = $11.52

Finally, subtract the tax amount to the total earnings:

Money left: 72-11.52 = $ 60.48

6 0
11 months ago
When dividing fractions, the ________ term becomes the reciprocal
nlexa [21]

Answer:

The correct answer is <em>SECOND </em>

Step-by-step explanation:

KCF.

Keep

Change

Flip

Example

3/4 / 2/4

3/4 X 4/2

5 0
2 years ago
Read 2 more answers
If you answered 18 questions correct on a 30 question test, what is your score?
saveliy_v [14]

Answer:

60%

Step-by-step explanation:

30/10=3

18/3=6

60%

4 0
3 years ago
A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each
Marysya12 [62]
Answer: - 0.28


Explanation:

1) Expected value: is the weighted average of the values, being the probabilities the weight.

That is: ∑ of prbability of event i × value of event i.

In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).


2) Sample space:

Sum              Points awarded
    
1+ 1 = 2              +6

1 + 2 = 3             +2

1 + 3 = 4             -1

1 + 4 = 5             -1

1 + 5 = 6             -1

1 + 6 = 7             -1

2 + 1 = 3             +2

2 + 2 = 4             -1

2 + 3 = 5             -1

2 + 4 = 6             -1

2 + 5 = 7             -1

2 + 6 = 8             -1

3 + 1 = 4             -1

3 + 2 = 5             -1

3 + 3 = 6             -1

3 + 4 = 7             -1

3 + 5 = 8             -1

3 + 6 = 9             -1

4 + 1 = 5             -1

4 + 2 = 6             -1

4 + 3 = 7             -1

4 + 4 = 8            -1

4 + 5 = 9            -1

4 + 6 = 10          -1

5 + 1 = 6            -1

5 + 2 = 7            -1

5 + 3 = 8            -1

5 + 4 = 9            -1

5 + 5 = 10          -1

5 + 6 = 11          +2

6 + 1 = 7            -1

6 + 2 = 8            -1

6 + 3 = 9            -1

6 + 4 = 10          -1

6 + 5 = 11          +2

6 + 6 = 12          +6


2) Probabilities

From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points


3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28
4 0
2 years ago
Read 2 more answers
Y = 4x - 6
aalyn [17]

Answer: Plug y into the bottom equation

Step-by-step explanation:

It’s simple! You are given the value of y and the easiest step would just be to plug y in.

Hope this helps!

7 0
3 years ago
Read 2 more answers
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