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Paha777 [63]
3 years ago
7

If the population of a particular country is growing at 1.5 % compounded​ continuously, how long will it take the population to

triple?
Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0
e^{0.015t}=3
Taking natural logs of both sides, we get
0.015t=ln 3
t = ln 3/0.015 = 73.24

The answer is 73.24 years.
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Gre4nikov [31]

please attach a diagram

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The first term of an AP is -7 and the ratio of the eight term to the third term is 7:1 calculate the common difference
alukav5142 [94]

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 =  \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 =   \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6

Therefore, the common difference is 6.

4 0
3 years ago
Choose the best option that represents 23/100
Rom4ik [11]

Answer:

its .23

Step-by-step explanation:

.23 is 23/100 becuase its in the hundreds of decimals. The percentage of 23/100 would just equal 23%

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3 years ago
Select the correct answer. What is true of the function as the x values increase?
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Step-by-step explanation:

5 0
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Read 2 more answers
A store sells boxes of juice in equal size package Garth bought 18 boxes Rico Ball 36 boxes in my 45 boxes what is the greatest
monitta
I'm not sure I'm understanding the wording of the question, but if it's this:

Juice boxes come in a package with multiple juice boxes in each package. Three people bought 18, 36, and 45 juice boxes. What is the largest possible number of juice boxes per package?

Then the problem is just an involved way of asking what the greatest common factor of 18, 36, and 45 is, and the answer is 9, the difference between 36 and 45, which are both multiples of 9. Note that 18 is also a multiple of 9. One way to find the greatest common factor of three numbers is to factor all of them and find which prime factors they have in common.
7 0
3 years ago
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