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2 years ago

15

A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the ex

periment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:

1 answer:

alex41 [277]2 years ago

4 0

Answer:

quantitative manipulation of the independent variable

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x^2=6x+1 rewrite the equation by completing the square your equation should look like (x+a)^2=b or (x-c)^2=d

ryzh [129]

Answer:

(x - 3)² = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

<u>Algebra I</u>

Completing the Square

Step-by-step explanation:

<u>Step 1: Define</u>

x² = 6x + 1

<u>Step 2: Rewrite</u>

Subtract 6x on both sides: x² - 6x = 1
Complete the Square: x² - 6x + 9 = 1 + 9
Factor: (x - 3)² = 10

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3 years ago

Help?<br><br> 3. Three times a number is two times the difference of that number and one.

erastovalidia [21]

Answer:

3x = 2(-3x + 1)

Step-by-step explanation:

I think that's it I think it could be wrong but I tried

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3 years ago

Read 2 more answers

A baker sells cookies for 1.5 each. If a minimum of two dozen cookies is ordered

topjm [15]

36.00 that is the answer

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3 years ago

30 Points, I'll mark brainliest

DIA [1.3K]

Answer:

Question1

1,000 tons

Question2

3:8

Question 3

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Step-by-step explanation:

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3 years ago

Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h

Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

$MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}$

P is the loan amount.

Where interest rate r is given by

$r = \frac{APR}{12}$

Total number of payments n are given by

$n = 30\times12 = 360$

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

$APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%$

and the corresponding interest rate r is

$r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458$

Finally, the monthly payment is

$MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361$

Monthly payment without points:

Interest rate r is,

$r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667$

Monthly payment is,

$MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13$

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0

3 years ago