All categories

3 years ago

What is the 20th term in the following arithmatic sequence 1/2, 1, 3/2, 2...

1 answer:

4 0

The 20th term in the following arithmetic sequence1/2, 1, 3/2, 2... is 10 because;

the number are divided by 2
and the 20th number would be 20/2 which is equal to 10

You might be interested in

The sum of three numbers is 24. Twice the middle number is 2 more than the largest number, and the largest number is equal to th

harina [27]

Answer:

x = 5, y = 7, z = 12

Step-by-step explanation:

Let the numbers be x, y and z

x + y + z = 24
2y = z + 2
z = x + y

Solving by substitution:

x + y + z = z + z = 24
2z = 24
z = 12

2y = z + 2
2y = 12 + 2
2y = 14
y = 7

z = x + y
x = z - y
x = 12 - 7 = 5

The answer:

x = 5, y = 7, z = 12

8 0

3 years ago

9.05 as an improper fraction

EleoNora [17]

Answer:

181/20

Step-by-step explanation:

9.05=9 5/100 = 9 1/20

9*20+1=180+1=181

181/20

4 0

4 years ago

Read 2 more answers

Once upon a time, there was a former whose family raised pigs and chickens. One morning, the farmer's wife looked into the barny

Fed [463]

Using a system of equations, it is found that:

There are 8 chickens in the yard.

There are 16 pigs in the yard.

-----------------------------------------

This question is solved using a system of equations. I am going to say that:

x is the number of chickens.

y is the number of pigs.

-----------------------------------------

A chicken has 1 head, as do a pig.
There are 24 heads.

Thus:

$x + y = 24 \rightarrow y = 24 - x$

-----------------------------------------

A chicken has 2 feet.
A pig has 4 feet.
In total, there are 80 feet.

Thus:

$2x + 4y = 80$

-----------------------------------------

Number of chicken:

Since $y = 24 - x$

$2x + 4y = 80$

$2x + 4(24 - x) = 80$

$2x + 96 - 4x = 80$

$2x = 16$

$x = \frac{16}{2}$

$x = 8$

There are 8 chickens in the yard.

-----------------------------------------

Number of pigs:

$y = 24 - x = 24 - 8 = 16$

There are 16 pigs in the yard.

A similar problem is given at brainly.com/question/24104709

8 0

3 years ago

kicyunya [14]

Answer:

D. p = 6.25h

Step-by-step explanation:

6.25 (2) = p 12.50

6.25 (4) = p 25.00

6.25 (6) = p 37.50

6.25 (8) = p 50.00

7 0

3 years ago

A new furnace for your small factory will cost $29,000 and a year to install, will require ongoing maintenance expenditures of $

Neporo4naja [7]

Answer:

Net present value is $61,058.

Step-by-step explanation:

Net present value is the difference between present value of cash inflows and the present value cash outflows over the period of time. NPV method is used in capital budgeting to analyze profitability of the project.

Less: initial cost is $29,000

Add: Year 1: Cost saving due to new furnace is $5,600 (2,800 oil gallons * $ 2 per gallon)

Year 2: Cost saving due to new furnace is $7,000 (2,800 oil gallons * $ 2.50 per gallon)

Year 3- 20: Cost saving due to new furnace is $8,400 (2,800 oil gallons * $ 3 per gallon)

Less : Maintenance expenditure is $1,200

The furnace will benefit for 20 years and the price per gallon will increase by $0.50 year.

The annuity factor is applied at discount factor of 6% and then present value of each cash inflow and outflow is calculated. The net present value is $61,058.

8 0

3 years ago