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Setler79 [48]
2 years ago
13

the population of a city grows 7% each year. if it’s current population is 450,000, in how many years will the city’s popular ge

t to 1,000,000?
Mathematics
1 answer:
timofeeve [1]2 years ago
3 0

It will take approximately 17 1/2 years for the city to reach a population of 1,000,000.

Step by Step Explanation:

7% of 450,000 is 31,500

450,000 to 1,000,000 means you need another 550,000 people in your population.

So take 550,000 divided by 31,500, which equals 17.46, which then rounds up to 17.5 years.

17.5 x 31,500= 551,250

That is how long it will take to reach 1,000,000 population count when the population only increases 7% each year.

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Answer: yes they are

Step-by-step explanation:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.

7 0
2 years ago
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On the photo /picture
asambeis [7]

We need to compute the diagonal of yhe square.

d²=7²+7²=49×2cm²

d=7×sqrt(2)=7×1.41=9.87cm.

The diagonal we just computed is the diameter of the circle that contains the square.

Since d=9.87 < 11, then indeed, the square fits inside the circle, without touching it.

6 0
3 years ago
Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap
gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}=15ft^3/min

We have to find the increasing rate of change of height of pile  when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r=\frac{d}{2}=\frac{h}{2}

Volume of pile=\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3

\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}

h=12 ft

Substitute the values

15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}

\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}

\frac{dh}{dt}=0.13ft/min

7 0
3 years ago
Using long division to find the quotient and remainder 4x^4+2x^2-2 divided by x^2+2
emmasim [6.3K]
                             4x²    -6
         __________________
x²+2  l 4x^4         +2x²     -2
         l  4x^4        +8x²
           --------------------
                            -6x²     -2
                            -6x²     -12
                           ---------------
                                       10

so the answer is (4x^2-6) \frac{10}{x^2+2}
8 0
3 years ago
May someone please help with the way please
Oksana_A [137]

Answer:

17.6 m²

Step-by-step explanation:

Given the ratio of similar shapes = a : b, then

area of shapes = a ² : b²

Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is

PT : PR = 6 : 9 = 2 : 3, thus

ratio of areas = 2² : 3² = 4 : 9

let the area of Δ PQT be x, then using proportion

\frac{4}{x} = \frac{9}{x+22} ( cross- multiply )

9x = 4(x + 22) ← distribute

9x = 4x + 88 ( subtract 4x from both sides )

5x = 88 ( divide both sides by 5 )

x = 17.6

Thus area of Δ PQT = 17.6 m²

5 0
3 years ago
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