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raketka [301]
3 years ago
5

A town has a population of 14000 and grows at 4.5% every year. To the nearest tenth of a year, how long will it be until the pop

ulation will reach 41500?
Mathematics
1 answer:
BARSIC [14]3 years ago
3 0

Answer:

around 6.6 years

Step-by-step explanation:

41,500=14,000*.45*x

41,500=6,300*x

41,000/6,300=x

6.5873=x

6.6=x

hope this helps!

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Leno4ka [110]

Answer:

A.

$1.40, $1.75, $2.10

B.

40

Step-by-step explanation:

A.

Follow the pattern of $0.35

B.

14 divided by 0.35 = 40

Hope this helps! Please mark as brianliest.

3 0
3 years ago
Read 2 more answers
Solve for:<br><br><img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%20%2B%205x%20%3D%201" id="TexFormula1" title="x^{2} + 5x = 1
mixer [17]

x^2+5x-1=0\\x^2+5x+(\frac{5}{2})^2-(\frac{5}{2})^2-1=0\\(x+\frac{5}{2})^2-\frac{25}{4}-\frac{4}{4}=0\\(x+\frac{5}{2})^2-\frac{29}{4}=0\\(x+\frac{5}{2})^2=\frac{29}{4}\\x+\frac{5}{2}=\sqrt{\frac{29}{4}} , x+\frac{5}{2}=-\sqrt{\frac{29}{4}}\\x=\frac{\sqrt{29} }{2} - \frac{5}{2} , x=-\frac{\sqrt{29} }{2} - \frac{5}{2} \\x=\frac{\sqrt{29}-5 }{2} , x=-\frac{\sqrt{29} -5}{2}

4 0
4 years ago
Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviatio
DochEvi [55]

Answer:

Yes, There is significant difference.

Step-by-step explanation:

Null Hypothesis , H0 : Mean income = 15000

Alternate Hypothesis , H1 : Mean income  ≠  15000

t = (x - u) / ( s / √n)

x = sample mean = 14500 here, u = population mean = 15000 here ,             s = standard deviation =  975 here  , n = sample size

t = (14500 - 15000) / (975 / √169)

-500 / 75 = - 6.66

As  calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠  15000'

6 0
3 years ago
It took a car 6 hours to cover the distance between points A and B with the speed of 50 mph. How long will it take a bus to cove
Leno4ka [110]

Answer:

7hours and 30 minutes

Step-by-step explanation:

given a car travels with a speed of 50 miles -------->1hour

x miles -------->6hours

on cross multiplying we get the value of 'x'

x = 50×6 = 300

x=300miles

Now ,

40mls------->1h

300mls------->xh

x= 300/40

x=(3/4)×10

x= 7.5hours

x= 7½hours

6 0
3 years ago
Solve for b.<br> 7<br> b<br> 12<br> b= ✓ [?]<br> Pythagorean Theorem: a2 + b2 = c2<br> Enter
fomenos

Answer: b=\sqrt{95}

Step-by-step explanation:

To solve for b, we want to use the Pythagorean Theorem as given.

b and 7 are the legs, and 12 is the hypotenuse.

7^2+b^2=12^2      [exponent]

49+b^2=144     [subtract both sides by 49]

b^2=95               [square root both sides]

b=\sqrt{95}

Now we know b=\sqrt{95}.

6 0
3 years ago
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