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kherson [118]
3 years ago
9

mercer middle school has 1400 students last year this year there are 1,120 students enrolled. Find the percent of change in the

number of students is this a percent increase or percent decrease
Mathematics
1 answer:
Olegator [25]3 years ago
5 0

20% decrease

1400 ÷ 100 = 14 (1% of the original)

1400 - 1120 = 280 (difference)

280 ÷14 = 20

it's a percentage decrease because the amount is smaller than the original

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Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

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1 year ago
1 point <br>What is 20% of 60? Type your answer...​
Lilit [14]

Answer: 12

Step-by-step explanation:

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castortr0y [4]

3. f(-6) = 12+1 =13


 f(-2) = 4+1 = 5


f(0) =1


Range {1,5,13}


4.  f(-2) = (-2)^3+1 =-7


  f(-1) = (-1)^2 +1 =0


f(3) = (3)^3 +1 = 28


Range = {-7,0,28}


5.the sequence is arithmetic


d= -11+19 = 8


an = a1 + d(n-1)


an = -19 +8(n-1)


6.l =w+5


a =l*w


a(w) =(w+5) * w


a(w)= w^2 +5w


f(w) = w^2 +5w


f(8) = 8^2 +5(8)


f(8) = 64 +40


f(8) =104 in^2



6 0
3 years ago
What is the population variance for 2, 8, 15, 4, 12, 10, 14, 7, 4, 7
Tasya [4]

Answer:

2-1

4- 2

8-1

10-1

12-1

7-2

14-1

15-1

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