Darnell’s house was valued at $134,670 and it appreciated 3 percent per year. What is its value after 2 year? Round to the nearest dollar. A: $8,201 B:$142,871 C:$126,939 D:$277,541

Answers

Answer 1
Answer:

Answer:

Option B is correct.

Step-by-step explanation:

Given: Value of House, P = $ 134,670

           Rate of depreciation, R = 3% per year

           Time, T = 2 years   ⇒ n = 2

To find: value of house after 2 year that is A.

We know that

A=P(1-(R)/(100))^n

A=134670(1+(3)/(100))^2

A=134670*1.0609

A = 142871.403

A = $ 142871

Therefore, Option B is correct.

Answer 2
Answer: 134,670×(1+0.03)^(2)=142,871

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A bag contains 88 red, 66 orange, and 99 green jellybeans. What is the probability of reaching into the bag and randomly withdrawing 1212 jellybeans such that the number of red ones is 22, the number of orange ones is 44, and the number of green ones is 66? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answers

Answer:

P ( 2 R , 4 O , 6 G ) = 0.0261

Step-by-step explanation:

Given:

- Red beans = 8

- Orange beans = 6

- Green beans = 9

Find:

What is the probability of reaching into the bag and randomly withdrawing 12 jellybeans such that the number of red ones is 2, the number of orange ones is 4, and the number of green ones is 6?

Solution:

- The question requires the number of selection of 12 jellybeans we can make from total available such that out of those 12 we choose 2 Red, 4 Orange and 6 Green.

- For selection we will use the combinations. So to choose 2 Red from 8; Choose 4 Orange from 6 and 6 green from 9 available. The number of possible outcomes with such condition is:

          Outcomes ( 2 R , 4 O , 6 G ) = 8C2 * 6C4 * 9C6

                                                         = 28*15*84

                                                         = 35280

- The total number of outcomes if we randomly select 12 beans irrespective how many of each color we select from available 23 we have:

          Outcomes ( Select 12 from 23 ) = 23C12

                                                               = 1352078

- Hence, the probability for the case is given by:

P ( 2 R , 4 O , 6 G ) = Outcomes ( 2 R , 4 O , 6 G ) / Outcomes ( Select 12 from 23 )

P ( 2 R , 4 O , 6 G ) = 35280 / 1352078 = 0.0261

The length of a rectangle is 4 more than 3 the width. If the perimeter of the rectangle is 18.4 cm, what is the area of the rectangle?

Answers

im assuming you mean 4 more than 3 times the width so we'll make the width x and the length 3x + 4
perimeter is all of the sides added together so our equation is 2(x) + 2 (3x + 4) because there are two sides for length and two for width. we expand this equation to: 2x + 6x + 8 which equals 8x + 8. this is equal to 18.4 so 8x + 8 = 18.4
subtract each side by 8: 8x = 10.4 
divide each side by 8: x = 1.3
if x = 1.3 then the width = 1.3
if the width = 1.3 then the length = 7.9 because 3(1.3) + 4 = 7.9
area is length times width so 1.3 x 7.9 = 10.27
The area is equal to: 10.27

If the exterior sides of two adjacent angles are opposite rays, then the angles are _____ angles. A. complementary
B. supplementary
C. vertical
D. right

Answers

The correct answer is B. Supplementary

That is the basic definition of what supplementary angles are and can be found in any textbook.

Answer supplementary

Step-by-step explanation:

Which of the following is a result of shifting a circle with equation (x + 3)2 + (y - 2)2 = 36 right 3 units?A. The y-coordinate of the center of the circle decreases by 3.
B. The y-coordinate of the center of the circle increases by 3.
C. The x-coordinate of the center of the circle increases by 3.
D. Both the x- and y-coordinates of the center of the circle increase by 3.

Answers

Answer:

Option C is correct that is the x-coordinate of the center of the circle increases by 3.

Step-by-step explanation:

The given equation is:

(x+3)^2+(y-2)^2=36

Since, the circle is shifted right 3 units

There, will be no change in y-axis because it is horizontal change.

So, Option A,B and D are discarded.

Therefore, Option C is correct that is the x-coordinate of the center of the circle increases by 3.

Answer:

Optcion c

Step-by-step explanation:

slay

Jane worked 32 hours in one week. If she worked the same number of hours each day for 4 days, how many hours a day did she work? A. 8
B. 6
C. 10
D. 4

Answers

4x=32⇒ x=32/4⇒ x=8

the answer is A. 8
You need to divide, so 32/4=8, so your answer is A.8

What digit appears in the units place in the number obtained when 2^320 is multiplied out?

Answers

Let's start with 2^x and see if we can find a recurring pattern to help us find the answer

2^1 = 2
2^2 = 4
2^3 = 8
2^4 = (1)6
2^5 = (3)2
2^6 = (6)4 
2^7 = (12)8
2^8 = (25)6

If you notice, the pattern is 2,4,8,6 in the units place. Every four consecutive x's, the cycle repeats. So at 2^4, 2^8, 2^12 (4096), and 2^16(65336), the units place will all be 6, since x is always divisible by 4 here. When x= 320, we know that 320 is divisible by 4. This means that for 2^320, the units place will also be 6.

Hope this helps, even though it's rather vague!