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makkiz [27]
3 years ago
6

Can someone help me for 25? Thx

Mathematics
2 answers:
Serga [27]3 years ago
7 0
For number 25, the student is correct because if you were to add up the perimeters of both the square and rectangle, they each add up to 4x+8
cestrela7 [59]3 years ago
6 0
Let's see together

The perimeter is the sum of all sides' length of a shape

so for the rectangle:
x+ x+4 + x + x+4 = 4x + 8

and for the square:
4(x+2) = 4x + 8

So they have the same perimeter

So the student was correct


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In 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%. The 1987 population
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Answer:

Step-by-step explanation:

Given that in 1987, the population of country A was estimated at 87 million people, with an annual growth rate of 3.5%

Thus the equation for population for country A would be

P(A) = 87e^{0.035t}

The 1987 population of country B was estimated at 243 million with an annual growth rate of 0.6%.

So equation for population for country B would be

P(B) = 243e^{0.006t} where t = time in years and P in millions

a) P(A) = 2*87 when

2=e^{0.035t}

Take log and solve

ln 2 = 0.005 t

t = 138.63

Thus after 138 years population will double for A

b) P(A) = P(B) when

P(A) = 87e^{0.035t}=P(B) = 243e^{0.006t}\\e^{0.035t-0.006t}=\frac{243}{87} =2.793\\0.029t = 1.027\\t= 35.42

Approximately after 35.5 years the populations of both countries would be equal.

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