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Stels [109]
3 years ago
7

Dan's grandmother gave him $30 for his birthday. He decides to put $20 in a box for saving. Every week his parents give him $5 f

or his allowance. He decides to start adding $4 of his allowance to the box every week. What is the regression line for predicting the amount of money (ŷ) that will be in his box from x weeks of adding to the box?
Mathematics
1 answer:
kozerog [31]3 years ago
7 0

Answer:

y=4\cdot{x}+20

Step-by-step explanation:

Let the regresssion line be linear because of a constant amount of money coming in. Let y be the total amount of money in the box and x the weeks of adding to the box:

y=m\cdot{x}+c

We know that he puts $20 in the box from his birthday and $4 every week for x weeks. Therefore the total amount of money will be:

y=4\cdot{x}+20

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THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!
Art [367]

Answer:

49π

Step-by-step explanation:

πr^2

π*7^2

49π

5 0
2 years ago
Which rate is greatest
Elis [28]

Answer:

C. 800 miles per 16 hours

Step-by-step explanation:

600 ÷ 15 = 40

1500 ÷ 50 = 30

800 ÷ 16 = 50

900 ÷ 20 = 45

40 > 30 < 50 > 45

5 0
3 years ago
A)Loss is denoted by a negative integer and profit is denoted by a positive integer. A
Rashid [163]

Answer:

750 profit

Step-by-step explanation:

Given :

Profit of 10 on white cement

Loss of 5 on Grey cement

Number of white cement sold = 325 bags

Number of Grey cement sold = 500 bags

Total profit made on sale of white cement :

10 * 325 = 3250

Loss made on sale of Grey cement :

5 * 500 = 2500

Total profit or loss :

3250 - 2500

= 750

Profit value is greater than. Loss value (hence, total profit of 750 was made).

6 0
2 years ago
I need to find the perimeter and area of the regular polygon.
mezya [45]
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.

Depending on the formula you know, you can find the length of a side in 1 of 2 ways. 

The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.

c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31

The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31

We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using

a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48

Now solve for the area

Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72

perimeter = 122.48
area = 1131.72
7 0
3 years ago
Write (5.64) x 10-7 as a decimal.
Cloud [144]

Answer:

16.92

Step-by-step explanation:

5.64 x 3 = 16.92

<em>Hope that helps!</em>

3 0
3 years ago
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