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Zarrin [17]
3 years ago
10

25 points, please help!!! Find the indicated limit, if it exists. (see picture for limit)

Mathematics
1 answer:
Semmy [17]3 years ago
8 0

Answer:

yes it exists.and answer is 5.

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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 - 1200ln(8 - t)|_{0}^{7}

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

P(7) = 3875 + 2495 = 6370

6 0
3 years ago
How many solutions does this linear have y= 5x-1 -15x-3y=3?
musickatia [10]
-15x - 3y = 3

-15x - 3(5x-1) = 3 [input y]
-15x - 15x - 3 = 3 [distribute 3 over 5x and -1]
-30x - 3 = 3 [combine like terms]
-30x = 6 [add 3 to eliminate the negative]
x = \frac{6}{-30} [divide by -30 to get x alone]
x = \frac{1}{-5} [reduce the fraction]

Hopefully this is helpful enough to get you to your answer
4 0
3 years ago
Brad has $39. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies than roses. How much did the roses cost?
Lesechka [4]

How many daisies did he buy

5 0
3 years ago
Read 2 more answers
*30pts*
kupik [55]
B, because you keep trying to solve!
5 0
3 years ago
Your neighbor agreed to trudge through the snow to buy snow shovels for 10 families on your street! The store owner gave him a d
Firlakuza [10]

Answer:

$17

Step-by-step explanation:

We are assuming that snow shovels for 10 families means 10 shovel in total. If the manager is offering $2 discount per shovel, and there are ten shovels, then that is a 20 dollar discount. 85, the cost after discount, plus 20 is 105. 105/10=10.5. Your family is offering two pay for two shovels, so the total for you would come to $21, but there is the $2 discount, so subtract 4 dollars, and you have $17.

5 0
3 years ago
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