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IgorC [24]
2 years ago
9

Write the equation of the line with the following characteristics through the origin and the point (2,2)

Mathematics
1 answer:
anyanavicka [17]2 years ago
4 0
Y = X

Because the origin is 0,0 and the point is 2,2.

In order to get from 0,0 to 2,2 with a line, it must have equal increments of the Y as the X.

In y=mx+b form, you’d have y = 1x+0 which just simplified to what I already stated: y=x
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The total amount paid on a 35 year loan was $98,000. If the interest rate was 4.1% and compounded monthly, what was the principa
Levart [38]

Answer:

The principal amount was $23,393.45

Step-by-step explanation:

The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%

We will calculate Principal amount by this formula

A=P(1+\frac{r}{n})^{nt}

Where A = amount (98,000)

           P = Principal amount (P)

           r = rate of interest 4.1% (0.041)

           n = number of compounding interest monthly (12)

           t = time (35 years)

98,000=P(1+\frac{0.041}{12})^{(12)(35)}

98,000=P(1+0.003416)^{(420)}

98,000=P(1.003416)^{(420)}

98,000 = P(4.189386)

= 4.189386P = 98,000

P = \frac{98000}{4.189386}

P = 23,392.4494 ≈ $23,392.45

The principal amount was $23,393.45

5 0
2 years ago
Read 2 more answers
Which of the statements about the graph of the function y = 2x are true? Check all of the boxes that apply. The domain is all re
Hitman42 [59]

Answer:

-The domain is all real numbers x because the exponent of 2 can be any real number

-When the x-values increases by 1 unit, the y-value multiplies by 2.

-The y-intercept is (0, 1).

-The graph never goes below the x-axis because powers of 2 are never negative

6 0
2 years ago
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Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean len
Marina86 [1]

Answer:

Step-by-step explanation:

Hello!

You need to construct a 95% CI for the population mean of the length of engineering conferences.

The variable has a normal distribution.

The information given is:

n= 84

x[bar]= 3.94

δ= 1.28

The formula for the Confidence interval is:

x[bar]±Z_{1-\alpha/2}*(δ/n)

Lower bound(Lb): 3.698

Upper bound(Ub): 4.182

Error bound: (Ub - Lb)/2 = (4.182-3.698)/2 = 0.242

I hope it helps!

6 0
2 years ago
Tia takes $50 from her bank account to pay for bus fare for the month. She does this each month for 7 months in a row. Which equ
olga55 [171]

Answer:

  • B. - $50 * 7 = - $350

Step-by-step explanation:

Taking $50 each month causes  - $50 change to bank balance

<u>Repeating same for 7 month:</u>

  • - $50 * 7 = - $350

Correct option is B

6 0
2 years ago
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Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.
stepladder [879]

Answer:

The regression line is not a good model because there is a pattern in the residual plot.

Step-by-step explanation:

Given is a  residual plot for a data set

The residual plot shows scatter plot of x and y

The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.

Hence the regression line cannot be a good model as they do not approach 0.

Also there is not a pattern of linear trend.

D) The regression line is not a good model because there is a pattern in the residual plot.

3 0
2 years ago
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