Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical answer only) (6 points)

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

The weight of an organ in adult males has a bell-shaped distribution with a mean of 325 grams and a standard deviation of 25 gr

vampirchik [111]

Answer:

(a) between 300 grams and 350 grams (b) 95% (c) 5% (d) 83.85%

Step-by-step explanation:

We have that $\mu = 325$ grams and $\sigma = 25$ grams. Let's compute the following figures to use the empirical rule

$\mu + \sigma = 325 + 25 = 350$

$\mu + 2\sigma = 325 + 2(25) = 375$

$\mu + 3\sigma = 325 + 3(25) = 400$

$\mu - \sigma = 325 - 25 = 300$

$\mu - 2\sigma = 325 - 2(25) = 275$

$\mu - 3\sigma = 325 - 3(25) = 250$

using the image below that was made it with help of the empirical rule we find the next figures

(a) About 68% of organs will be between 300 grams and 350 grams

(b) 95% of organs weights between 275 grams and 375 grams

(c) 5% of organs weights less than 275 grams or more than 375 grams

(d) 83.85% of organs weights between 300 grams and 400 grams

5 0

3 years ago

Spinning an american roulette wheel 7474 times and recording the number the ball lands on

Oksanka [162]

Probability yes but this question lacks question

4 0

3 years ago

Determine which of the following points lies on the line y= 5/4 x + 2

Katyanochek1 [597]

The point (4,7) is the only one that can be plugged into the equation and work. in this case when 4 is plugged in as X & Y is plugged in at 7 we get that 7=7, which is a true statement.

3 0

2 years ago

Which expressions are equivalent to the one below? Check all that apply.

mestny [16]

Answer:

c

Step-by-step explanation:

log2-log 6=log(2/6)=log (1/3)

4 0

2 years ago

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