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3 years ago

Suppose the population of a country in 1985 was 145 million. In 1995 it was 190 million. Use the formula P = Ae*

1 answer:

8 0

we can translate the given data into two points:
(0, 145 million) and (10, 190 million)Substituting to the equation P = Ae^kt, then145 million = A e ^ k* 0A = 53342518.97 Also, 190 million = 53342518.97* e^k^10k = 0.127
When t is equal to 20, thenP = 53342518.97 e^ 0.127*20p = 676 million

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There is a 12-ft fence on one side of a rectangular garden. The gardener has 44 ft of fencing to the enclose the other three sid

Morgarella [4.7K]

Answer:

16 ft

Step-by-step explanation:

One of the other three sides is 12 ft. After that fence is subtracted from the total, there are 32 ft of fence left for the other two sides of the rectangle. That allows those sides to be 32 ft/2 = 16 ft long.

The rectangle can be 12 ft by 16 ft. The longer dimension is 16 ft.

7 0

4 years ago

Solve for w.<br> 40+4w=12w

Xelga [282]

Answer:

W=5

Step-by-step explanation:

40+4w=12w

-4w -4w

40= 8w

÷8 ÷8

5=w

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3 years ago

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4 0

3 years ago

The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?

gregori [183]

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

$(2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)$

On comparing both sides, we get

$\dfrac{-3+a}{2}=2$

$-3+a=2\times 2$

$a=4+3$

$a=7$

And,

$\dfrac{3+b}{2}=0$

$3+b=0$

$3+b-3=0-3$

$b=-3$

Therefore, the coordinates of point B are (7,-3).

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3 years ago

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Andrews [41]

Answer:

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6 0

3 years ago