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2 years ago

What is the value of the 100th term in this arithmetic sequence? 5, 7, 9, 11, ...

Mathematics

1 answer:

OLEGan [10]2 years ago

3 0

Answer:

the 100th term would be 193

Step-by-step explanation:

5-(n-1) times 2

5-99 times 2

5-198

193

I hope this helps

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A basketball team has 12 players. In how many different ways can the coach select 2 players to be the captains for tonight's gam

Elza [17]

I wanna say 6 cause 12 divided by 2 is 6 :)

6 0

3 years ago

Suppose an oligopoly consists of two firms. Firm A lowers price and Firm B responds by lowering its price by the same amount. If

VMariaS [17]

Answer:

The profits for firma A and B will decrease.

Step-by-step explanation:

Oligopoly by definition "is a market structure with a small number of firms, none of which can keep the others from having significant influence. The concentration ratio measures the market share of the largest firms".

If the costs remain the same for both companies and both firms decrease the prices then we will have a decrease of profits, we can see this on the figure attached.

We have an equilibrium price (let's assume X) and when we decrease a price and we have the same level of output the area below the curve would be lower and then we will have less profits for both companies.

4 0

2 years ago

Someo ne pllllzzzz help me asap i will give brain thingy and 20 points!

Lelu [443]

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

===========================================================

Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

4 0

2 years ago

A book vendor is trying to sell his booking collection. One customer buys 1/4 of his books , another buys 1/3 of his books ,and

Anna11 [10]

Answer:

365535

Step-by-step explanation:

365535

7 0

2 years ago

Read 2 more answers

Use the formula d=rt. Find t for r=48.3m/h and d=545.79m.

Korolek [52]

Answer:

t = 11.3 hours

Step-by-step explanation:

The formula d = rt stands for distance = rate x time. The problem gives you the rate, or r = 48.3 m/h, and the distance, or d = 545.79m. To solve for 't', you can plug the values given and divide:

d = rt or 545.79 = 48.3(t)

Divide both sides by 48.3: 545.79/48.3 = 48.3t/48.3

Solve for t: t = 11.3 hours

6 0

3 years ago