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ivann1987 [24]
3 years ago
12

The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression rep

resents the expected population next year.
Mathematics
2 answers:
qaws [65]3 years ago
4 0

Answer:

Population next year = 1.075p

Step-by-step explanation:

The current population can be represented by 1 p the increase in the population number by next year is 7.5% p or 7.5/100 p that equals to 0.075p. The expression that represents the expected population by next year is:

Population next year = This year population + expected growth

Population next year = 1p + 0.075p = 1.075p

aliina [53]3 years ago
4 0

Given Information:

Population rate = 7.5 %

Current population = p

Required Information:

Population next year = ?

Answer:

Population next year = 1.075p

Step-by-step explanation:

The rate of increase in the population is given as 7.5 %

We know that the current population is equal to p

The population in the next year would be the sum of current population and 7.5 % of current population.

Population next year = current population + 7.5% of current population

Population next year = p + 7.5% of p

Population next year = p + 0.075*p

Population next year = p(1 + 0.075)

Population next year = p(1.075)

Population next year = 1.075p

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Nataly_w [17]
X=-13/5

Simplify both sides of the equation, isolate the variable, and then you get your answer. 
7 0
3 years ago
Can you solve 27,28,39,30,31,32,33,34?
kozerog [31]

Answer:

27. x^7

28. 4x^13

29. 1/f^4

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31. 2x^14

32. (4y^3 x^2)^2

33. (2y/x)^6

Step-by-step explanation:

27. \:  \:  \frac{ {x}^{ - 1} }{ {x}^{ - 8} }  \\  \frac{ {x}^{8} }{ {x}^{1} }  \\  {x}^{8 - 1}   =  {x}^{7} \\

28. \:  \:  \:  \frac{ {52x}^{6} }{ {13x}^{ - 7} }  \\   \frac{ {52x}^{6}  {x}^{7} }{13}  \\  {4x}^{6 + 7}  =  {4x}^{13}

29. \:  \: {f}^{ - 3} ( {f}^{2} )( {f}^{ - 3} ) \\  {f}^{( - 3) +2 + ( - 3) }  \\  {f}^{ - 4}  \\  \frac{1}{ {f}^{4} }  \\

30. \:  \: \frac{ {x}^{ - 4} }{ {x}^{ - 9} } \\   \frac{ {x}^{9} }{ {x}^{4} }  \\  {x}^{9 - 4}  =  {x}^{5}

31. \:  \:  \frac{ {24x}^{6} }{ {12x}^{ - 8} }  \\  \frac{ {24x}^{6} {x}^{8}  }{12}  \\  {2x}^{6 + 8}  =  {2x}^{14}  \\

32. \:  \:  \frac{ {3x}^{2}  {y}^{ - 3} }{ {12x}^{6}  {y}^{3} }  \\  \frac{ {3x}^{2} }{ {12x}^{6} {y}^{3}  {y}^{3}  }  \\  \frac{ {x}^{2 - 6} }{ {4y}^{3 + 3} }  \\  \frac{ {x}^{ - 4} }{ {4y}^{6} }  \\  \frac{1}{ {4y}^{6}  {x}^{4} }  = \frac{1}{({ {4y}^{3} {x}^{2} ) }^{2} }

33. \:  \:  {( {2x}^{3}  {y}^{ - 3}) }^{ - 2}  \\ {2x}^{3 \times  - 2}  {y}^{ - 3 \times  - 2}  \\  {2x}^{ - 6}  {y}^{6}  \\  \frac{ {2y}^{6} }{ {x}^{6} }  \\  {( \frac{2y}{x} )}^{6} \\

4 0
2 years ago
Find the number that makes the ratio equivalent to <br><br> 1:3<br> .
forsale [732]
0.33333333333333333333333333333333333333
7 0
3 years ago
Select all ratios equivalent to 7:10
serg [7]

Answer: ratio:14:20    work:7*2=14   10*2=20       ratio:21:30    work: 7*3=21   10*3=30       ratio:28:40  work:7*8=28     10*4=40        

Step-by-step explanation: Just multiply the number on the left and right side of the ration by the same number to get an equivalent ratio. I gave some examples above. I hoped this helped.

3 0
2 years ago
49*32’55” + 37*27’15” = ?
MrRissso [65]

Answer:

87°10''

Step-by-step explanation:

In 49°32'55'', we convert 32' to degrees. So. 32/60 = 8/15. We also convert 55'' to degrees. So, 55 × 1/60 × 1/60 = 55/3600 = 11/720

In 37°27'15'', we convert 27' to degrees. So. 27/60 = 9/20. We also convert 15'' to degrees. So, 15 × 1/60 × 1/60 = 15/3600 = 1/240

We now add the fractional parts plus the whole part of the angles together.

So,

49 + 8/15 + 11/720 + 37 + 9/20 + 1/240 = 49 + 37 + 8/15 + 9/20 + 11/720 + 1/240 = 86 + 59/60 + 7/360.

We now convert the fractional parts 59/60 to minutes by multiplying by 60 and convert 7/360 to seconds by multiplying by 3600

86° + 59/60 × 60 + 7/360 × 3600 = 86° + 59' + 7 × 10 =86° + 59' + 70'' = 86 + 59' +  1'  + 10''= 86 + 60' + 10'' = 86 + 1° + 10'' = 87° 10''

So, 49°32'55'' + 37°27'15'' = 87°10''

6 0
3 years ago
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