The amount of money left on a loan that Kira owes her grandmothers is represented by the function k(t)=280(.88)^t where k(t) represents the amount of money left on a the loan and t represents the time, in years. Find r, the percent change and explain what it represents.

Answers

Answer 1
Answer: Given:
k(t) = 280(0.88)^t

t = 1 ; t = 2 ; t = 3 
k(1) = 280(0.88)¹ = 280(0.88) = 246.40
k(2) = 280(0.88)² = 280(0.7744) = 216.83
k(3) = 280(0.88)³ = 280(0.681472) = 190.81

280 - 246.40 = 33.60 ⇒ 33.60/280 = 0.12
246.40 - 216.83 = 29.57 ⇒ 29.57/246.40 = 0.12
216.83 - 190.81 = 26.20 ⇒ 26.20/216.83 = 0.12

The rate is 0.12 or 12%

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Is 0.7 greater than 0.75 or less than 0.25

Answers

.70 is not greater than .75 but it is greater than .25!

According to David Taylor of the Bank Administration Institute, about _____ percent of households with annual incomes over $50,000 have PCs equipped with modems.

Answers

According to David Taylor of the Bank Administration Institute, about 40 percent of households with annual incomes over $50,000 have PCs equipped withmodems.

Answer:

40

Step-by-step explanation:

Simplify the question
10x /(divide) -2y

Answers

Answer:

-5x/y is the answer

Step-by-step explanation:

10x/-2y

Dividing by 2

=5x/-y

=-5x/y

I hope this will help you :)

Answer:

(-5x)/y

Step-by-step explanation:

I'm assuming you meant:

  10x

---------

 -2y

                               -5x

This reduces to   ----------

                                  y

4. Find the distance between the two points. Round to the nearest tenth if necessary.(-2, -1) and (3, 5).

Answers

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

Distance = \sqrt{(x1-x2)^(2) + (y1-y2)^(2) }

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

x1 = -2 , y1 = -1 , x2 = 3, y2 = 5

Distance = \sqrt{((-2)-(3))^(2) + ((-1)-(5))^(2) }

Distance = √(61)

Distance = 7.8102 units

To the nearest tenth, Distance = 7.8 units

If you make an annual salary of $18,920, what is the maximum monthly rent you can afford?$529.76

$441.47

$882.94

$536.22

Answers

If you make an annual salary of $18,920, Find the maximum monthly rent you can afford:
=> 18 920 dollars / 12 months = 1576.67 dollars is your monthly payment.
Base on the given choices, you can afford all prices but practicality wise, 441.47 dollars is the most recommended rentals.

Answer with explanation:

We will use , (28)/(36) rule here, which states that , 28 % of your monthly income should be used for housing finances and 36 % of your total gross income should be used for debt purposes.

Total Annual Salary = $ 18,920

Monthly salary =(18920)/(12)

→→28% of 18,920

=(28)/(100)* (18920)/(12)\n\n=(529760)/(100* 12)=441.4666\n\n=441.47

Option B: $ 441.47      

Use the graphing calculator tool to plot the residualpoints. (1, 0.86), (2, -0.25), (3, -1.66), (4, -2.34), (5,-4.1)

Does the residual plot show that the line of best fit is
appropriate for the data?

A. Yes, the points have no pattern.

B. Yes, the points are evenly distributed about the x-axis.

C.No the points are in a linear pattern.

D.No, the points are in a curved pattern.

Answers

Answer: it’s option C: No, the points are in a linear pattern

Step-by-step explanation:

Took on edge

Final answer:

To determine if the line of best fit is appropriate for the data, plot the residuals on a graph and examine the pattern. In this case, the residual plot does not show a linear or curved pattern, indicating that the line of best fit is not appropriate for the data.

Explanation:

The residual plot shows the difference between the observed Y-values and the predicted Y-values. To plot the residuals, subtract the predicted Y-values from the observed Y-values for each corresponding X-value. Then plot the resulting points on a graph. In this case, the points are:

(1, 0.86), (2, -0.25), (3, -1.66), (4, -2.34), (5,-4.1).

To determine if the line of best fit is appropriate for the data, we need to examine the pattern of the residual plot. If the points have no pattern or are evenly distributed about the x-axis, it indicates that the line of best fit is appropriate. In this case, the points do not exhibit a linear or curved pattern, and they are not evenly distributed about the x-axis. Therefore, the residual plot does not show that the line of best fit is appropriate for the data.

Hence, the correct answer is: C. No the points are in a linear pattern.