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NeTakaya
3 years ago
11

A town has a population of 6000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will

reach 7100?
Mathematics
1 answer:
kotykmax [81]3 years ago
7 0

Answer:

5 years.

Step-by-step explanation:

Every year the population increases by a factor 103.5% or  1.035.

The equation relating population and time in years is:

P = 6000(1.035)^t  (This is an example of  exponential growth)

So we have:

7100 = 6000(1.035)^t

(1.035)^t = 7100/6000

(1.035)^t = 1.1833

t ln 1.035 = ln 1.1833

t = ln 1.1833/ln 1.035

= 4.89.

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The correct answer is C

Step-by-step explanation:

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How do u guys solved this?
TEA [102]

Answer:

3 boxes

Step-by-step explanation:

First, we need to find the area of the whole square, so we can find out how much to subtract from. We can easily do this by multiplying 16 by 16, since it is a square.

16*16=256 square feet.

Now, we just need to find the area of the circular rug, and subtract it from 256 to find the area not covered by the rug that needs to be tiled. Since the sides of the rug touch each side of the floor, than the diameter will be the same as the side length of the square. Thus, the diameter is 16.

Now we can use the equation <em>A=pir^2 </em>or <em>Area=pi*radius squared</em> to find the area of the circle. The radius is halve of the diameter, so divide 16 by 2 to get the radius, or 8. Now all we have to do is square 8 and multiply it by 3.14.

8^2=64

Now multiply.

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256-200.96=55.04.

So they will need 3 boxes to cover the area left.

Hope this helps!

3 0
3 years ago
I need help with this equation m/121=7.3
Anna35 [415]
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3 0
3 years ago
20.
AlekseyPX

Pr[X > 2] corresponds to the area under the graph of P(x) for 2 ≤ x ≤ 8, which is a rectangle with base 8 - 2 = 6 and height 0.125. So

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4 0
2 years ago
I need help please! Thank you
Debora [2.8K]

Answer:

We also know that If two angles are complementary then  their sum is equal to 90°. So, two angles ∠1 & ∠2 are complementary.

Step-by-step explanation:

As BA is perpendicular to BC. So, angle ∠ABC is 90°.

We also know that If two angles are complementary then  their sum is equal to 90°. As ∠ABC is the sum of the ∠1 & ∠2. In other words, ∠1 & ∠2 are complementary. So, two angles ∠1 & ∠2 are complementary.

Lets prove this.

Given: BA ⊥ BC

Prove: ∠1 & ∠2 are complementary.

Statement                                                       Reasons

1. ∠1 & ∠2 are complementary                      1. Given

2. ∠1 + ∠2 = 90°                                             2. Def. of complementary angles

7 0
3 years ago
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