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coldgirl [10]
3 years ago
10

The population of a city can be modeled by P(t) 3810(1.0005)7t , where P(t) is the population after t years. Which function is a

pproximately equivalent to P(t)?
Mathematics
1 answer:
swat323 years ago
6 0

Answer:

P(t) = 3810(1.0035)^{t}

Step-by-step explanation:

Given:

P(t) = 3810(1.0005)^{7t}             -----(1)

Simplifying (1.0005)^{7t}

From Law of indices, x^{mn} = (x^{m})^{n}

(1.0005)^{7t} = (1.0005^{7})^{t}

When 1.0005 is raised to the 7th power, it is approximately 1.0035.

Substituting (1.0005)^{7t} = (1.0035)^{t} into equation(1)

P(t) = 3810(1.0035)^{t}

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lions [1.4K]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
In65 - lnX = 39<br> What does X=?
Hunter-Best [27]

Answer:

<h2>The answer is 7.47</h2>

Step-by-step explanation:

In this problem we are going find the natural logarithmic of the numbers involved and solve for x

ln65-Ln x= 39\\

from tables

<h3> ln 65= 4.17</h3>

4.17-ln x= 39\4.17-39= lnx\\-34.83=lnx\\

taking the exponents of both sides we have

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3 0
3 years ago
What is the solution to the equation 9(w – 4) – 7w = 5(3w – 2)?​
Yuliya22 [10]

Answer:

W= -2

Step-by-step explanation:

Simply the expression: 9(w – 4) – 7w = 5(3w – 2)

First step: 9w -36-7w = 15w-10

Second step: 2w-36=15w-10

Third step:-36+10=15w-2w

Fourth step:-26=13w

Fifth step: w=\frac{-26}{13}

Six step: w=-2

3 0
3 years ago
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Hi ! How to solve this question?
tester [92]

You should actually have

-x^2-4x-10=-(x^2+4x+10)=-(x^2+4x+4+6)=-((x+2)^2+6)=-(x+2)^2-6

Now, remember that x^2 is always non-negative, so (x+2)^2\ge0 for any value of x. This means -(x+2)^2\le0 for any x, and so

-(x+2)^2-6\le0-6=-6

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4 0
3 years ago
Please help I will give 30 points but I need this answer please.
umka21 [38]

whats the question???

also it says 5 points-

5 0
3 years ago
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