Help me please don't understand geometry and I have a test tomorrow

A city currently has 31,000 residents and is adding new residents steadily at the rate of 1200 per year. If the proportion of re

dlinn [17]

Answer:

Population of the city after 7 years from now, P(7) = 6370

Given:

Initial Population, $P_{i} = 31000$

rate, r(t) = 1200 /yr

S(t) = [/tex]\frac{1}{1 + t}[/tex]

Step-by-step explanation:

Let the initial population be $P_{i} = 31000$

The population after T years is given by the equation:

$P(T) = P_{i}S(T) + \int_{0}^{T}S(T - t)r(t) dt$ (1)

Thus, the population after 7 years from now is given by using eqn (1):

$P(7) = \frac{3100}{1 + 7} + 1200\int_{0}^{7}\frac{1}{8 - t} dt$

$P(7) = 3875 - 1200ln(8 - t)|_{0}^{7}$

$P(7) = 3875 - 1200(ln(1) - ln(8))$

$P(7) = 3875 + 2495 = 6370$

6 0

3 years ago

Which of the following equations represent a line that is parallel to the line with the equation

xxMikexx [17]

Answer:

c

Step-by-step explanation:

8 0

3 years ago

Solve the iniquality 6x - 8 > 4x + 26

lesya692 [45]

Answer:

x > 17

Step-by-step explanation:

Add 8 to both sides:

6x - 8 > 4x + 26

6x > 4x + 34

Subtract 4x from both sides:

2x > 34

Divide each side by 2:

x > 17

So, the solution is x > 17

7 0

3 years ago

Read 2 more answers

How many 3/7 are there in 6

tatyana61 [14]

The answer is 14 to 3/7 are there in six

7 0

4 years ago

Read 2 more answers

Which edge is parallel to edge x ? <br> A<br> B <br> C <br> D

Anastaziya [24]

Answer:

the answer to the question is C

7 0

3 years ago