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Degger [83]
2 years ago
14

A city has a population of 250,000 people. Suppose that each year the population grows by 7.5%. What will the population be afte

r 8years?
Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
4 0
So, if it grows by 6.75%, each year the population is 106.75% of the year before.

After 1 year, 370,000(1.0675). After two years, 370,000(1.0675)(1.0675).

370,000(1.0675)12 = your answer
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the Wall Street Journal reported that automobile crashes cost United States $162 billion annually. The average cost per person f
Tanya [424]

Answer:

a) Margin of error = 166.311

b) sample size ≥ 62

Step-by-step explanation:

Given:

Average cost = $1599

Sample size = 50 persons

Standard deviation = $600

Confidence level is 95%

a) Margin of error = z\frac{\sigma}{\sqrt{n}}

Now for confidence level of 95% z-value = 1.96

Thus,

Margin of error = 1.96\frac{600}{\sqrt{50}}

or

Margin of error = 166.311

b) For Margin of error ≤ 150

z\frac{\sigma}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{150} ≤ √n

or

√n ≥ 7.84

or

n ≥ 61.4656

Therefore,

sample size ≥ 62

6 0
3 years ago
I NEED HELP PLEASEE
xenn [34]

\bf \cfrac{1+cot^2(\theta )}{1+csc(\theta )}=\cfrac{1}{sin(\theta )} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1+cot^2(\theta )}{1+csc(\theta )}\implies \cfrac{1+\frac{cos^2(\theta )}{sin^2(\theta )}}{1+\frac{1}{sin(\theta )}}\implies \cfrac{~~\frac{sin^2(\theta )+cos^2(\theta )}{sin^2(\theta )}~~}{\frac{sin(\theta )+1}{sin(\theta )}}\implies \cfrac{~~\frac{1}{sin^2(\theta )}~~}{\frac{sin(\theta )+1}{sin(\theta )}}

\bf \cfrac{1}{\underset{sin(\theta )}{~~\begin{matrix} sin^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }}\cdot \cfrac{~~\begin{matrix} sin(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{sin(\theta )+1}\implies \cfrac{1}{sin^2(\theta )+sin(\theta )} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{1+cot^2(\theta )}{1+csc(\theta )}\ne \cfrac{1}{sin(\theta )}~\hfill

5 0
3 years ago
AB = 3 + x
strojnjashka [21]

Answer:

Option A) 4, 2

Step-by-step explanation:

We are given that quadrilateral ABCD is a  parallelogram with sides:

AB = 3 + x\\DC = 4x\\AD = y + 1\\BC = 2y

Since the opposite sides of a parallelogram are equal, we can write:

AB = DC\\AD=BC

Equating the sides we get,

\Rightarrow 3+x = 4x\\4x-x = 3\\3x = 3\\x = 1\\\Rightarrow y + 1 = 2y\\y = 1

Putting the values of x and y, we get:

AB = 3 + x =4\\DC = 4x =4\\AD = y + 1=2\\BC = 2y=2

Thus, the lengths of the opposite side pairs is 4,2.

4 0
2 years ago
guy wants to add 7,145 and 8,265 and using mental math strategies what steps could guy take to add the number is guy,s answer co
TEA [102]
First add the biggest number like thousand together and the go in to the last numbers
4 0
3 years ago
Read 2 more answers
Instructions Solve for x ?
musickatia [10]

Answer:

2x =  \frac{1}{2}  \times 20 = 10 \\  =  > x = 5

4 0
3 years ago
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