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astra-53 [7]
3 years ago
6

IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every y

ear. write formula for student population and estimate student population in 2020
Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

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Lady bird [3.3K]
The answer would be B
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3 years ago
If a polynomial function f(x) has roots -8, 1, and 6i, what must also be a root of f(x)?
Naddik [55]

Answer:

it must also have the root : - 6i

Step-by-step explanation:

If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.

This is because in order to render a polynomial with Real coefficients, the binomial factor  (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:

(x-(a+bi))*(x-(a-bi))=\\(x-a-bi)*(x-a+bi)=\\([x-a]-bi)*([x-a]+bi)=\\(x-a)^2-(bi)^2=\\(x-a)^2-b^2(-1)=\\(x-a)^2+b^2

where the imaginary unit has disappeared, making the expression real.

So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)

Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.

5 0
3 years ago
A video game maker claims that number of glitches in code for their
svet-max [94.6K]

Answer:

The major condition that needs to be satisfied before a t-test is performed that the question satisfies easily is the use of random sampling to obtain sample data.

Step-by-step explanation:

The major conditions necessary to conduct a t-test about a mean include;

- The sample extracted from the population must be extracted using random sampling. That is, the sample must be a random sample of the population.

- The sampling distribution must be normal or approximately normal. This is achievable when the population distribution is normal or approximately normal.

- Each observation in the sample data must have an independent outcome. That is, the outcome/result of each sub-data mustn't depend on one another.

Of the three conditions that need to be satisfied before the conduction of a t-test, the first condition about using a random sampling technique is evidently satisfied.

It is stated in the question that 'A private investigator hired by a competitor takes a random sample of 47 games and tries to determine if there are more than 7 glitches per game'.

Hope this Helps!!!

5 0
3 years ago
Biught 820 books and 34 books on a shelf how many shelves
kramer
24.12 because you have to divide 34 into 820 and then you get 24.12
6 0
3 years ago
Which scenario best matches the linear relationship expressed in the equation y=-14+1700
Elden [556K]

Question:

Which scenario best matches the linear relationship expressed in the equation y = –14x + 1,700?

1) Kent has $1,700 in his bank account and spends $14 each week.

2) Kent has $1,700 in his bank account and deposits $14 each week.

3) Kent had $1,700 in his bank account and deposited another $14.

4) Kent has $14 in his bank account and spent $1,700.

Answer:

Option  1) Kent has $1,700 in his bank account and spends $14 each week.

Step-by-step explanation:

Let x denote the number of weeks.

Option 1: Kent has $1,700 in his bank account and -14x as the negative sign denotes how much amount he spend each week.

Thus, Option 1 is the correct answer.

Option 2: Kent has $1,700 in his bank account and deposits $14 each week.

Writing it as equation, we have, y=14x+1700 which is not the expressed linear equation.

Hence,  Option 2 is not the correct answer.

Option 3: Kent had $1,700 in his bank account and deposited another $14.

Writing it as equation, we have, y=14+1700 which is not the expressed linear equation.

Hence,  Option 3 is not the correct answer.

Option 4: Kent has $14 in his bank account and spent $1,700.

Writing it as equation, we have, y=14-1700 which is not the expressed linear equation.

Hence,  Option 4 is not the correct answer.

Thus, the scenario that matches the linear equation relationship expressed in the equation is Option 1.

The answer is Kent has $1,700 in his bank account and spends $14 each week.

4 0
3 years ago
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