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Viktor [21]
3 years ago
6

A town has a population of 2000 and grows at 2% every year. To the nearest year, how long will it be until the population will r

each 3000?
Mathematics
2 answers:
MissTica3 years ago
5 0

Answer:

21 years

Step-by-step explanation:

Use the equation 2000(1.02)^{x} = 3000 where x is the number of years passed.

Once you've solved for it, x=20.475319. Although it's closer to 20 years to the nearest year, it's 21 years since you'll wont reach 3000 in year 20.

Verizon [17]3 years ago
4 0

Answer:20

Step-by-step explanation:

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Elza [17]

Answer:

x=48

Step-by-step explanation:

48/4=12

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7 0
3 years ago
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Joe spends 18.75% of his working day washing cars. He spends 1.5 hours washing cars. How many total hours does he work per day?
insens350 [35]

Answer:

8 hours

Step-by-step explanation:

Joe spends 18.75% of his working day washing cars.

Joe spends 1.5 hours washing car.

Therefore 18.75% is equal to 1.5 hour.

18.75% = 1.5 hour

1% = 1.5 ÷ 18.75 = 0.08 hour

100% = 0.08 x 100 = 8 hours

4 0
4 years ago
Find the radius of a circle in which a central angle of StartFraction pi Over 7 EndFraction radian determines a sector of area 7
QveST [7]

Answer:

Step-by-step explanation:

The formula for determining the the area of a sector is expressed as

Area of Sector = θ/360 × πr²

Where

θ represents the central angle.

π is a constant whose value is 3.14

r represents the radius of the circle.

From the information given,

The central angle is π/7 radian. Converting to degrees, it becomes

π/7 × 180/π = 180/7 = 25.714 degrees.

Area of sector = 77 square meters

Therefore

77 = 25.714/360 × 3.14 × r²

77 = 0.2243r²

r² = 77/0.2243 = 343.29

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5 0
3 years ago
Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1
amm1812

Answer: y = -3(x + \frac{5}{6})² + \frac{37}{12}, (-\frac{5}{6}, \frac{37}{12})

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y   = -3x² - 5x + 1

<u> -1  </u>   <u>                -1  </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + \frac{5}{3}x

y - 1 + -3(\frac{25}{36}) = -3(x² + \frac{5}{3}x + \frac{25}{36})

           ↑                     ↓            ↑

                                  \frac{5}{3*2} = (\frac{5}{3*2})^{2}

y - 1 - \frac{25}{12} = -3(x + \frac{5}{6})²

y - \frac{12}{12} - \frac{25}{12} = -3(x + \frac{5}{6})²

y  - \frac{37}{12} = -3(x + \frac{5}{6})²

y = -3(x + \frac{5}{6})² + \frac{37}{12}

Now, it is in the form of y = a(x - h)² + k   <em>where (h, k) is the vertex</em>

Vertex = (-\frac{5}{6}, \frac{37}{12})

8 0
3 years ago
This is a rectangular pyramid. What shape is the base?
Ulleksa [173]

Answer:

a

Step-by-step explanation:

7 0
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