MATHEMATICS MIDDLE SCHOOL

The population of mice on an island is given byP= 40 1.2
where P is the population t years after 1st January 2010.
The graph below shows the growth of the population.
a) Write down the coordinates of
the point a.
b)
How many mice were on the
island on January 1st 2010?
C)
To the nearest whole number,
how many mice were on the
island on 1st January 2014?

Answers

Answer 1

Answer:

a) The coordinates of point a are (t, 0).

b) There were 40 mice on the island on January 1st, 2010.

c) Rounding to the nearest wholenumber, there were approximately 92 mice on the island on January 1st, 2014.

a) To find the coordinates of point a on the graph, we need to look at the intersection of the curve with the x-axis (time axis). Since point a is on the x-axis, its y-coordinate (population) is 0. Note that the x-coordinate (t) represents the time in years.

b) To find the population of mice on January 1st, 2010 (t = 0 years), we can substitute t = 0 into the population equation:

$P = 40 * 1.2^t\nP = 40 * 1.2^0\nP = 40 * 1\nP = 40$

So, there were 40 mice on the island on January1st, 2010.

c) To find the population on January 1st, 2014 (t = 4 years), we can again substitute t = 4 into the population equation:

$P = 40 * 1.2^t\nP = 40 * 1.2^4\nP = 40 * 1.2 * 1.2 * 1.2 * 1.2\nP \approx 92.16$

Rounding to the nearest whole number, there were approximately 92 mice on the island on January 1st, 2014.

To know more about coordinates:

brainly.com/question/32836021

#SPJ2

Answer 2

Answer:

Answer:

Step-by-step explanation:

A=(0,40)

B=40

C=83

Hope it help mate✌

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What is 5.8 × 10^6 mg/s in grams per minute? A.
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Answers

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Answers

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Please answer me x and y

Answers

Answer: x=5√3(you've got it correct!)

y=15

In∆ADC,

Cos 60°=DC/10

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y=20-5

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Answer:

x = 5√3

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Step-by-step explanation:

Look at the picture.

ΔABC, ΔDBA and ΔDAC are the triangles 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

Therefore

in ΔDAC:

DC : AD : AC = 1 : √3 : 2

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in ΔDBA:

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