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3 years ago

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Mathematics

2 answers:

V125BC [204]3 years ago

8 0

3 the answer will be 3

il63 [147K]3 years ago

4 0

Answer:

Step-by-step explanation:

the answer will be 3

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A city that had 7500 thousand people at the beginning of the year 2000 has been decreasing by 3.6% per year. a. What is the 1-ye

storchak [24]

Answer:

Step-by-step explanation:

a) if the population at the beginning of the year 2000 was 7500 people,

The 1-year percent change in the city's population would be

3.6/100 × 7500 = 270

b) The population after 1 year is

7500 - 270 = 7230

The percentage of the previous value of the population to its new value for each year is

7230/7500 × 100 = 96.4%

c) the 1-year growth factor for the population of the city would be

(1 - 0.036)^1 = 0.964

d) the function, g that determines the population of the city (in thousands of people) in terms of the number of years t since the beginning of 2000 would be

g = 7500(1 - 0.036)^t

g = 7500(0.964)^t

5 0

4 years ago

Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building materials and how the stren

Slav-nsk [51]

The logarithmic model for the length when the strength is of 8 Pascals is given by:

$f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3$
That is, the length is of 3 units.

<h3>What is the function?</h3>

The strength in Pascals for a building of length x is given by:

$f(x) = 2^x$

To find the length given the strength, we apply the inverse function, that is:

$2^y = x$

$\log_{2}{2^y} = \log_2{x}$

$y = \log_2{x}$

Hence, when the strength is of 8 Pascals, $x = 8$ , and the length is given by:

$f^{-1}(8) = \log_{2}{8} = \log_2{2^3} = 3$

You can learn more about logarithmic functions at brainly.com/question/25537936

6 0

2 years ago

Tap A fills a tank in 4hours while B fills the same tank in 3hours. Tap C empties this tank when full in 2hours. If the tank is

boyakko [2]

Answer:

<em>It will take 12 hours to fill the tank</em>

Step-by-step explanation:

Proportions

Tap A fills a tank in 4 hours. It means each hour it fills 1/4 of the tank.

Tap B fills the tank in 3 hours. Each hour it fills 1/3 of the tank.

Tap C empties the tank when full in 2 hours. Each hour it empties 1/2 of the tank.

Each hour, the tank gets filled by:

$\displaystyle \frac{1}{4}+\frac{1}{3}-\frac{1}{2}=\displaystyle \frac{3}{12}+\frac{4}{12}-\frac{6}{12}=\frac{3+4-6}{12}=\frac{1}{12}$

Since the tank fills 1/12 of its capacity in one hour, it follows that it will take 12 hours to fill the tank

6 0

3 years ago

51/9 as a mixed number

Leona [35]

5 2/3 is 51/9 as a mixed nuber
51/9––>17/3=5 2/3

5 0

4 years ago

Read 2 more answers

2. Find the probability that an event E will not occur if

Monica [59]

Answer:

Step-by-step explanation:

3 0

3 years ago