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Aleks04 [339]
3 years ago
15

Help W algebra!!(logs!)

Mathematics
1 answer:
tatuchka [14]3 years ago
7 0
$2,029.50 is the answer
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A town has a population of 4000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will
Romashka [77]

18.273 years will take to reach the population of 7500, if a town has a population of 4000 and grows at 3.5% every year.

Step-by-step explanation:

The given is,

             Population of 4000

             Rate of grow 3.5% every year

             Population after few years 7500

Step:1

            Formula to calculate the population with the grow rate every year,

                                   F=P(1+r)^{t}..........................(1)

           Where,

                    F - Population after t years

                   P - Initial population

                    r - Rate of grow

                    t - No.of years

          From given,

                  F = 7500

                  P = 4000

                   r = 3.5%

        Equation becomes (1),

                    7500=4000(1+0.035)^{t}

                     \frac{7500}{4000} = (1+0.035)^{t}

                   1.875 = (1+0.035)^{t}

                   1.875 = (1.035)^{t}

       Take log on both sides,

              log 1.875 = (t)log 1.035

       Substitute log values,

                 0.2730= (t) 0.014940349

                          t = \frac{0.273}{0.014940349}

                             = 18.273

                          t = 18.273 year

                             or

                         t = 18 years 3 months 2 weeks

Result:

          18.273 years will take to reach the population of 7500, if a town has a population of 4000 and grows at 3.5% every year.

7 0
3 years ago
7t-3t+4t-5t show working​
sukhopar [10]

Answer:

3t

Step-by-step explanation:

7t-3t+4t-5t

Combine like terms

7t -3t = 4t and substitute back into the expression

4t +4t -5t

4t+4t = 8t and substitute back into the expression

8t - 5t

3t

7 0
3 years ago
Write an equation for each function notation. then complete the table
Arturiano [62]

Answer:

30. Y= ×(-3)+4

Step-by-step explanation:

-2(-3)=6+4=10

therefore 1(-3)+4

=1

2(-3)=-6

-6+4=-2

7 0
3 years ago
Mr. Patel decided to challenge his Algebra I students by asking them to describe the effect 2f | 1x would have on the
SVEN [57.7K]

Answer:

The parabola would stretch both vertically and horizontally by a factor of 2.

Step-by-step explanation:

I just took the quiz on Edg.

4 0
3 years ago
Classify the triangle by side length and angle measurement
sveta [45]

Answer:

this triangle seems to be an isosceles, obtuse triangle

5 0
2 years ago
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