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Lelechka [254]
3 years ago
9

A city is growing at the rate of 0.3% annually. If there were 3,278,000 residents in the city in 2015, find how many (to the nea

rest ten-thousand) are living in that city in 2021. Use y = 3,278,000(2.7)0.003t , where t represents the number of years since 2015.
Mathematics
2 answers:
ss7ja [257]3 years ago
3 0
The formula is
A=pe^rt
A ?
P 3,278,000
E constant, it equals 2.7
R 0.003
T 2,021−2,015=6 years

A=3,278,000×e^(0.003×6)
A=3,337,538
lys-0071 [83]3 years ago
3 0

Answer:

3330448

Step-by-step explanation:

We must evaluate the population from 2015 to 2021 to the nearest ten-thousand. Using the following expression:

y=3278000*(2.17)^0.003*t

where t represents the number of years since 2015 and 2.17 is the logarithmic function e. The number of years since 2015 to 2021 is 7 years.Substitue t=7 into the expression:

y=3278000*(2.17)^0.003*(7)=3278000*(1.016)=3330448

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Answer:

29 feet in length, 5 feet in width and 12 feet in height

Step-by-step explanation:

We have that for the volume of a quadrangular prism is:

V = l * w * h

Ie length times width times height

In this case, the height is determined by the squares that you put in each corner, taking into account that a square has all the same sides, the height is 12 inches. h = 12

they tell us that the length is 24 inches more than the width, that is, l = 24 + w

replacing we have:

1740 = (24 + w) * w * 12

1740 = 12 * w ^ 2 + 288 * w

12 * w ^ 2 + 288 * w - 1740 = 0

if we calculate the root, we have w = 5 or w = -29

only works when w = 5

Thus:

l = 24 + 5

l = 29

which means that the dimensions are:

29 feet in length, 5 feet in width and 12 feet in height

5 0
3 years ago
Eliminate the parameter. x = 1/2t, y = 3t^3 - 1
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4 0
3 years ago
6x-1/2=1 solve this equation
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8 0
2 years ago
Read 2 more answers
F(x) = √3x
Nataly_w [17]

The domain of the function is (\frac{f}{g})(x) = \frac{\sqrt[3]{3x}}{5x + 2} . x \ne -\frac 25

<h3>How to determine the domain and the restrictions?</h3>

The attached image represents the complete form of the question

The functions are given as:

f(x) = \sqrt[3]{3x}

g(x) = 5x + 2

The function (f/g)(x) is calculated using:

(\frac{f}{g})(x) = \frac{f(x)}{g(x)}

This gives

(\frac{f}{g})(x) = \frac{\sqrt[3]{3x}}{5x + 2}

The denominator cannot be 0.

So, we have:

5x + 2 \ne 0

Solve for x

x \ne -\frac 25

Hence, the domain of the function is (\frac{f}{g})(x) = \frac{\sqrt[3]{3x}}{5x + 2} . x \ne -\frac 25

Read more about domain at:

brainly.com/question/1770447

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