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Black_prince [1.1K]
3 years ago
5

The sum of all five terms of an arithmetic sequence is $55$. Find the sum of the first three terms of the sequence if the sum of

the last three is $48$.
Business
1 answer:
Blababa [14]3 years ago
4 0

Answer:

18

Explanation:

The first step is to calculate the third term

= 55/5

= 11

The next step is to calculate the sun of last two terms

= sum of last three terms-third term

= 48-11

= 37

Therefore the sum of the first three terms can be calculated as follows

= 55-37

= 18

Hence the sum of the first three terms is 18

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Suppose the price of gasoline decreases from $4.20 to $2.00, and in response quantity demanded increases from 10600 to 11200. Us
Tems11 [23]

Answer:

0.079

Explanation:

Price elasticity of demand using midpoint formula can be calculated as follows

Formula

Elasticity of demand = (change in quantity/average quantity)/(change in price/average price)

Calculation

Elasticity of demand = (600/10,900)/(-2.1/3.05)

Elasticity of demand =-0.055 / -0.688

Elasticity of demand =-0.079

working

Change in price (2-4.1) = -2.1  

Average price (2+4.1)/2=3.05

Change in quantity (11,200-10600) = 600

average quantity (11,200+10,600)/2 = 10,900

 

The elasticity of demand is inelastic as the elasticity is below 1.

4 0
3 years ago
Which position describes karl marx’s view of religion and society?
PtichkaEL [24]
The position that describes Karl Marx's view of religion and society is his power with the connection to religion. Karl Marx as one of the most influential people in the history for he implemented various revolutionary actions which were condemned and criticized.
5 0
3 years ago
The principle of diminishing returns to capital states that if the amount of labor and other inputs employed is held constant, t
Arturiano [62]

Answer:

B) the less an additional unit of capital adds to production

Explanation:

The diminishing return state that if everything else is held constant, each additional unit will increase production by a fewer amount than previous one. That's because the same amount of resource can only use efficiently a certain amount of capital then there is a loss in this good use and therefore, the output do not increase at the same rate as we add up capital.

A person can do a good use of several type of tool for building a house but I can only use one or two at the time

Adding more tools can increase productivity but in the end there is only one person working.

4 0
4 years ago
Your son is born today and you want to make him a millionaire by the time he is 50 years old. You deposit $50,000 in an investme
mel-nik [20]

Answer:

1000000= 50000 (1+ \frac{i}{1})^{1*50}

20 = (1+i)^{50}

20^{1/50} = 1+i

i = 20^{1/50} -1 = 0.0617

And if we convert this into % we got i = APR = 6.17 \%

See explanation below.

Explanation:

We assume that we have compounding interest.

For this case we can use the future value formula given by:

FV= PV (1+\frac{i}{n})^{nt}

Where:

FV represent the future value desired = 1000000

PV= represent the present value = 50000

i = the interest rate that we desire to find in fraction

n = number of times that the interest rate is compounding in 1 year, since the rate is annual then n=1

t = represent the number of years= 50 years

So then we have everything in order to replace and we got:

1000000= 50000 (1+ \frac{i}{1})^{1*50}

Now we can solve for the interest rate i like this:

20 = (1+i)^{50}

20^{1/50} = 1+i

i = 20^{1/50} -1 = 0.0617

And if we convert this into % we got i = APR = 6.17 \%

7 0
3 years ago
​Generally, the​ consumer's purchase decision will be to buy the most preferred​ brand, but two factors can come between the pur
GarryVolchara [31]

Answer:

The answer is: C) Attitude of others

Explanation:

The attitude of others refers to how much can another person´s attitude reduce what someone else prefers to buy. The extent of how much can a third party influence our purchasing decisions is based on:

  1. How intense is the third party´s negative attitude toward buying that specific product.
  2. How motivated we are to comply with the other person´s attitude.
3 0
3 years ago
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