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Maksim231197 [3]
3 years ago
15

1. Write the recursive formula and the explicit formula for the sequence {3,6,12,24,48,...}. Show all work.

Advanced Placement (AP)
1 answer:
Evgesh-ka [11]3 years ago
4 0

1. The given sequence is a geometric sequence.

The nth term of a geometric sequence is given by

a_{n} = a_{1} r^{n-1}

where a_{n} is the nth term of the sequence,

a_{1} is the first term of the sequence and

r is the common ratio.

In the given sequence,

a₁ = 3 and r = 2

∴ aₙ = 3(2ⁿ⁻¹)

2. All geometric sequences are discrete form of exponential functions.

A geometric sequence is given by

aₙ = a₀ rⁿ , where n is a discrete value, in other words, a counting integer.

If the discrete value, n is replaced by a continuous variable, x , the resulting function is exponential in nature.

3. Here, the given function is f(x) = 3(1.06 x) + 2.

We see that, f(x) increases with increase in x.

Let us assume x to be the amount of gold in grams and f(x) to be the price of gold.

The cost of gold is directly proportional to the amount of gold bought and there is a flat tax collected, which is 2 bucks.

4. Constant rate of change : When a quantity changes uniformly over the another quantity, it is said to constant change over the other. For example, when a car covers a distance of 50 km every hour, the car is said to have a constant speed, which is rate of change of distance.

Average rate of change : It is the average rate at which one quantity is changing with respect to another. Suppose let us take the car to be covering a distance of 50 km in the first hour and 60 km in the second hour. Here, the rate of change in first hour is 50 kmph, where as in the second is 60 kmph. The average rate of change is 55 kmph.

5. Average rate of change is the slope of the function.

Here the function is g(x)=6x-6

If y = mx+c, the slope is m.

Here, the function is also of the same form, where m =6 and c = -6.

So, the slope of the equation is 6.

Average rate of change is 6 in the interval, 0≤x≤3

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zhenek [66]

Answer:

The tax multiplier

Explanation:

The tax multiplier can be regarded as the huge effect of change that occur in taxes on aggregate demand, when there is decrease in taxes then the effect is felt on income as well as consumption due to increase in government spending. Spending multiplier is is bigger compare to tax multiplier. It should be noted that tax multiplier is used to determine the final impact on aggregate demand that occurs as a result of the change in lump-sum taxes.

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3 years ago
Which of the following sentences first expresses the main claim of the passage? ap English lang
aksik [14]

Answer:

The Sierra Nevada is a magnificent mountain range, and the view of it from California's Coast Range is spectacular.

Explanation:

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2 years ago
In a preindustrial society much of the economy is involved in providing information and services. true or false
zloy xaker [14]

The statement is - False.

In the pre-industrial societies, the economy was far from being based on providing information and services. The economy was largely based on two things, agriculture and trade.

The agriculture was the basis and the dominant sector in the pre-industrial economy. The more agricultural products a nation had, the more it had to trade, thus becoming wealthy. This can easily be seen in the colonies that the European countries had in the pre-industrial period, where every inch of the land that was suitable for agriculture was used, and latter those products were shipped and traded in order to become wealthier.

7 0
2 years ago
If students gossip about teachers, is that also ethically wrong? why or why not ?
AlekseyPX

Shayshay12317,

It is indeed "wrong." Why? It is because if students gossip about the teachers, the teacher would be less likely to help that student pass their class. For example, imagine if Micheal was gossiping about how the teacher walks and the teacher found out Micheal said those things. So, when Micheal needs extra credit the teacher would be less likely to give him less credit because he said those things.

Hope this helps!

3 0
3 years ago
Anyone know how to solve this
alexandr402 [8]
For all of the triangles you have to use Sin, Cosin, or Tangent. Sin= opposite/hypotenuse, Cosin=adjacent/hypotenuse, and Tangent= opposite/adjacent. 
Question 2-
You have the hypotenuse and you are trying to find the adjacent. Cos(35)=x/51
Multiply the 51 over and now you have 51Cos(35)=x. x=41.77m
Question 3-
Tan(30)= x/24. 24Tan(30)=x. x= 13.856m
Question 4- 
Sin(70)=x/18. 18Sin(70)=x. x=16.9 m
Question 5-
Cos(60)= x/30. 30Cos(60)=x. x=15m
Question 6-
Tan(55)=x/6. 6Tan(55)=x. x= 8.568m
7 0
3 years ago
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