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algol13
3 years ago
15

A town has a population of 5000 and grows at 4% every year. What will be the population after 7 years, to the nearest whole numb

er?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer: The population would be 6580 after 7 years.

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 5000

r = 4% = 4/100 = 0.04

t = 7 years

Therefore

y = 5000(1 + 0.04)^7

y = 5000(1.04)^7

y = 6580

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High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers
Maurinko [17]

Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

<u><em>Step:-1</em></u>

Given that the mean of the Population = 540HP

Given that the size of the sample  'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

<u><em>Step(ii):-</em></u>

<u><em>Degrees of freedom = n-1 =9-1 =8</em></u>

<u><em>t₀.₀₀₅ = 3.3554</em></u>

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2}  + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )

(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

<u><em>Final answer</em></u> :-

<em>The 99% of a confidence interval for the average maximum HP for the experimental engine.</em>

<em>(536.46, 603.54)</em>

<em></em>

4 0
2 years ago
Eight times a sum of a number is 5
nata0808 [166]

Answer:

Step-by-step explanation:

So 8 times what is 5?

8 times x=5

x=0.625

4 0
2 years ago
Help ASAP Ill mark brainliest
Dimas [21]

Answer:

75 students

Step-by-step explanation:

500 students x 0.25 (25%) = 125 play baseball

500 students x 0.10 (10%) = 50 play soccer

125 who play baseball - 50 who play soccer  = 75 more students who play baseball

4 0
3 years ago
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Answer:

a

Step-by-step explanation:

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7 0
2 years ago
Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the
4vir4ik [10]

Answer: It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

Step-by-step explanation:

Let us consider the general linear equation

Y = MX + C

On a coordinate plane, a line goes through points (0, negative 1) and (2, 0). 

Slope = ( 0 - -1)/( 2- 0) = 1/2

When x = 0, Y = -1

Substitutes both into general linear equation

-1 = 1/2(0) + C

C = -1

The equations for the coordinate is therefore

Y = 1/2X - 1

Let's check the equations one after the other

y = negative one-half x minus 1

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y = negative one-half x + 1

Y = -1/2X + 1

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Y = 1/2X - 1

y = one-half x + 1

Y = 1/2X + 1

It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

7 0
3 years ago
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