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Rainbow [258]
2 years ago
7

1. The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually.

Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

Answer:

Step-by-step explanation:

a) We would use the formula for exponential growth model which is expressed as

y = b(1 + r)^t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 5655

r = 1.4% = 1.4/100 = 0.014

Therefore, the equation would be

y = 5655(1 + 0.014)^t

y = 5655(1.014)^t

b) in 2022, t = 2022 - 2010 = 12 years

y = 5655(1.014)^12

y = 6682

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meriva

Answer: 70 mph

Step-by-step explanation:

224/x =224/x+10 +24/60

Solve equation

5 0
2 years ago
Find the simple interest on $6000 from 16 May 2010 to 9 October 2010 at 10 percent per annum​
omeli [17]

Answer:

$240.02

Step-by-step explanation:

10% per year means "how much percent per day?"

We need to divide 10 by 365 since there are 365 days in a year. Hence,

\frac{10}{365}=0.0274

So, that is 0.0274% per day

In decimal, we have to divide this percentage by 100, so, that is:

0.0274/100 = 0.000274

Daily interest on the principal is thus the multiplication of this value with principal (6000), that is:

0.000274  * 6000 = 1.644

<u>For how many days??</u>

From 16 May till 9 October would be:

16 May - 31 May = 15 days

1 June - 30 June = 30 days

1 July - 31 July = 31 days

1 Aug - 31 Aug = 31 days

1 Sep - 30 Sep = 30 days

1 Oct - 9 Oct = 9 days

Total Days is  15 + 30 + 31 + 31 + 30 + 9 = 146 days

Thus, total simple interest for 146 days would be:

1.644 * 147 = $240.02

8 0
2 years ago
Peter buys tickets for his family to see his favorite movie, Elephant Mistake. He pays $37.50 for 2 adult tickets and 2 student
WARRIOR [948]

Answer:

the price of adult ticket and student ticket be $10.50 and $8.25 respectively

Step-by-step explanation:

Let us assume the price of adult ticket be x

And, the price of student ticket be y

Now according to the question

2x + 2y = $37.50

x + 3y = $35.25

x = $35.25 - 3y

Put the value of x in the first equation

2($35.25 - 3y) + 2y = $37.50

$70.50 - 6y + 2y = $37.50

-4y = $37.50 - $70.50

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y = $8.25

Now x = $35.25 - 3($8.25)

= $10.5

Hence, the price of adult ticket and student ticket be $10.50 and $8.25 respectively

8 0
2 years ago
A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of t
Andrews [41]
The situation will be represented by linear equation, this is given by:
y=ax+b
where:
a=slope=rate
b=y-intercept
from our situation:

a=-1/20
b=5 ft
thus the equation modeling the situation will be:
y=-1/20x+5

Answer: y=-1/20x+5
3 0
2 years ago
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Answer:

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