Lola measures the heights and arm spans of the girls on her basketball team.
She plots the data and makes a scatterplot comparing heights and arm
spans, in inches. Lola finds that the trend line that best fits her results has the
equation y = x + 2. If a girl on her team is 65 inches tall, what should Lola
expect her arm span to be?
72
70
68
Arm span (inches)
66
62
60
Troo
60 62 64 66 68 70 72
Height (inches)
O A. y = 65 - 2 = 63 inches
O B. y= 65+ 2 = 67 inches
C. y = 65 inches
D. 65 = x + 2
X = 63 inches

Answer:

1001.35

Step-by-step explanation:

Assuming  

n

=

5

for which sum to be found.

We know sum of geometric series up to  

n

th term is

S

n

=

a

1

⋅

r

n

−

1

r

−

1

Here  

a

1

=

0.11

,

r

=

9.5

,

n

=

5

∴

S

5

=

a

1

⋅

r

5

−

1

r

−

1

=

0.11

⋅

9.5

5

−

1

9.5

−

1

≈

1001.35

[Ans]

Answer:

The correct answer is B: Count by hand and D: Divide 20 by 2

Step-by-step explanation:

I just got it correct.

Answer:

A.

Step-by-step explanation:

Answer:

The mortgage chosen is option A;

15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470

Step-by-step explanation:

The details of the home purchase are;

The price of the home = $275,000

The mode of purchase of the home = Mortgage

The percentage of the loan amount payed as down payment = 20%

The amount used as down payment for the loan = $55,000

The principal of the mortgage borrowed, P = The price of the house - The down payment

∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000

The principal of the mortgage, P = $220,000

The formula for the total amount paid which is the cost of the loan is given as follows;

[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]

The formula for monthly payment on a mortgage, 'M', is given as follows;

[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

A. When the mortgage term, t = 15-years,

The interest rate, r = 3%

The number of months over which the loan is payed, n = 12·t

∴ n = 12 months/year × 15 years = 180 months

n = 180 months

The monthly payment, 'M', is given as follows;

M =

The total amount paid over the loan term = Cost of the mortgage

Therefore, we have;

220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)

[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]

The minimum monthly payment for the loan, M ≈ $1,519.28

The total amount paid over loan term, A = n × M

∴ A ≈ 180 × $1,519.28 = $273,470

The total amount paid over loan term, A ≈ $270,470

B. When t = 20 year and r = 6%, we have;

n = 12 × 20 = 240

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]

The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276

The monthly payment, M = $1,576.15

C. When t = 30 year and r = 5%, we have;

n = 12 × 30 = 360

[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]

The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163

The monthly payment, M ≈ $1,181.01

The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability

Therefore;

The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;

The total amount paid over the loan term = $270,470

honestly just try to breathe, and when you tell them sit down with them and tell them straight up.      

Answer:

I read the title wrong, please remove my answer

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

First you need to calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. All of the points add up to 10. Then you divide that number by how many points there are which is 5 and you get 2.

Hope that helps. =)

Answer:

the answer is 2

Step-by-step explanation:

hoped I helped

Answer:

29

Step-by-step explanation:

In a triangle, a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

Given this formula, we knoe c^2 is the product of 21^2 + 20^2.

This gives you 841. Now you just find the square root of 841 which is 29.

Hope this helps :)

Answer:

area = 24 cm²

Step-by-step explanation:

area = 1/2 x 6 x 8 = 24 cm²

Answer:

8.38

Step-by-step explanation:

The underlined number is in the hundredths place, so that means that we're going to round there. That means that you look at the number to its right and if it's lower than 5, it stays the same. However, if it's 5 or higher, you round it up. For example, if the number was 8.386, we would round it to 8.39.

Answer:

3/5

Step-by-step explanation:

35.

Step-by-step explanation:

The simplest form of 610 is 35.

Answer:

Step-by-step explanation:

Given:

To find:

Solution:

Answer:

A 0.4kg object rolling at 2 m/s that's d right answer

Answer:

A 0.4 kg object moving at 4 m.

Step-by-step explanation:

The heavier the object is, the faster it goes. Also the faster is goes and the heavier it is, the more momentum it has.

Answer:5.83

Step-by-step explanation:

4x+1=6x-29

vvvvvvvvvv

-2x=-30

x=-15

4 x -15= -60

angle 3 =59 degrees

angle 6= 119 degrees

Answer:

A is the correct answer.

Hope this helps [tex]\mathtt{: )}[/tex]

Answer:

1/2

Step-by-step explanation:

y = mx + b is slope intercept form.

b = y intercept. where the line first passes through on the y axis

that number is 3.

y = mx + 3.

to find M (slope) you have to do RISE / RUN.

Run is going left or right from a point

Rise is going up or down from a point.

To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.

From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.

So, the slope is 1/2.

Answer:

the answer would be 32 then. you start with 7 then add 1 then Multiple by 4 which equals 32

Answer:

y = -8

Step-by-step explanation:

2x2 - 12

4 - 12 = -8

hope this helps

Hey there!

-3(c+2)+d(c+5)

All you have to do is DISTRIBUTE

-3(c) + (-3)(2) + d(c) + d(5)

-3c - 6 + cd + 5d

SOLVE ABOVE and you have your ANSWER

Answer: cd - 3c + 5d - 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:Cost of goods sold =Php125,000

Step-by-step explanation:

Profit = Cost Price-Selling Price

Also we know that

Gross Profit = Net Sales– Cost of Goods Sold

Php275,000=Php400,000– Cost of Goods Sold

Cost of Goods Sold=Php400,000-Php275,000=Php125,000

Answer:

it should be 628.32 I'm not sure if I'm correct

Answer:

slopes is 1/4

y intercept is 3 i think the inequality would be y=mx+b so it would be y=1/4x+3

Step-by-step explanation:

9514 1404 393

Answer:

  5 seconds

Step-by-step explanation:

Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...

  time = distance/speed

  time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s

That is, the rear part of each train will be at point A 5 seconds after the front part.

The rear parts will pass each other 5 seconds after the front parts meet.

Answer:

No solution

Step-by-step explanation:

Equation C :

y = 6x + 9

Equation D :

y = 6x + 2

By comparing both the equations with slope-intercept form of the equation,

y = mx + b

Where, m = Slope of the line

And b = y-intercept

Slopes of both the lines C and D are common as 6,

Therefore, both the lines will be parallel.

And the set of parallel lines has no solution.

Therefore, given set of equations have no solution.

Answer:

29045.86.

Step-by-step explanation:

Total  = 25000e^(5*0.03) = 29045.86

Answer:

its 4,000

Step-by-step explanation: