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mylen [45]
3 years ago
8

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:
Elodia [21]3 years ago
7 0
p+0.075p=1.075p
Alexeev081 [22]3 years ago
5 0
100% represents the current size. To work out the new size, you add the percentage increase - this gives 107.5%

"per cent" means "per hundred" and is a ratio.

To work out the new value for p you multiply it by 107%.

To find a percentage, you multiply the the "percent" ratio and then divide by 100.

So 100% of p is: p * 100 / 100  (you can see here that 100/100 = 1, so the value is unchanged).

107% of p will be: p * 107 / 100


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  \frac{r + 5}{r^{2}+5r - 14 } ÷ \frac{r^{2}+4r - 21 }{r - 2}

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.....................................
babunello [35]

\dfrac{q}{q^2+5q+6}+\dfrac{1}{q^2+3q+2}=\dfrac{q}{q^2+3q+2q+6}+\dfrac{1}{q^2+q+2q+2}\\\\=\dfrac{q}{q(q+3)+2(q+3)}+\dfrac{1}{q(q+1)+2(q+1)}\\\\=\dfrac{q}{(q+3)(q+2)}+\dfrac{1}{(q+1)(q+2)}\\\\=\dfrac{q(q+1)}{(q+1)(q+2)(q+3)}+\dfrac{1(q+3)}{(q+1)(q+2)(q+3)}\\\\=\dfrac{q^2+q+q+3}{(q+1)(q+2)(q+3)}=\dfrac{q^2+2q+3}{(q+1)(q+2)(q+3)}\to B.

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