It is known that the period of the function f (x) = asinwx + bcoswx + 1 defined on R is π, F (π / 4) = root 3 + 1, and the maximum value of F (x) is 3 1. Write the f (x) expression 2. Write down the center of the pile, the axis of symmetry, and the axis 3. Explain how the image of F (x) is transformed from the image of function y = 2sin2x

It is known that the period of the function f (x) = asinwx + bcoswx + 1 defined on R is π, F (π / 4) = root 3 + 1, and the maximum value of F (x) is 3 1. Write the f (x) expression 2. Write down the center of the pile, the axis of symmetry, and the axis 3. Explain how the image of F (x) is transformed from the image of function y = 2sin2x


As a result, we will be able to participate in this world and bcoswx + 1 = (a \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\thenw = 2F (x)



If the demand curve is d (P) = 100-2p, what price will the monopolist set if he has 60 houses?
How many units can he rent? If he has 40 units, what price will he set? How many units can he rent?
The standard answer to the textbook is: in the first case, he sets the price at 25 and rents 50 sets. In the second case, he rents all 40 sets according to the highest price in the market, and the highest price in the market is 30?


Change it to Q (P) = 100-2p, or you won't get used to it
First question:
Let's first find the quantity Q and make it r (q)
That is, r = PQ, where p = (100-q) / 2
R=q(100-q)/2,
Let D R / d q = 0, the profit is the largest, so if q = 50, then p will naturally be 25, and the first question ends
The second question is easy to know from the conclusion of the previous question
R '= DR / DQ is greater than 0 at (0,50), R' > 0. It shows that the income is rising, so all 40 sets will be sold
The price is to calculate P from q = 40 to q = 100-2p
Please remember to adopt, I wish you a happy study



The average of 7 numbers is 25, the average of the last 5 numbers is 32, what is the third number?


The average of these seven numbers is 25
Then the sum of 7 numbers is: 7 * 25 = 175,
Since the average of the first three numbers is 25, the sum of them is 3 * 25 = 75,
Similarly, the average of the last five numbers is 32, and 32 * 5 = 160
Then use 175-160 = 15, then 15 is the sum of the first two numbers, because 75 is the sum of the first three numbers, then 75-15 = 60, then 60 is the third number you want



Gardener community plans to build 1 million square meters of teachers' housing, which is 25% more than the plan. How many million square meters of housing are actually built?


100 × (1 + 25%), = 100 × 125%, = 1.25 million square meters; a: the actual building area is 1.25 million square meters



On the average, median, common number of primary school grade 6 examination questions, seek detailed explanation
A company needs to subsidize the telephone fee for its employees. The principle of determining the subsidy is not only to meet the needs of most employees, but also to save the company's expenses. Therefore, the trade union has conducted a survey on the monthly telephone fee of 20 employees in the company. The results are as follows:
Cost (yuan) 30 40 50 60 70 80 400
Number of people 1 7 5 3 2 1 1
How much do you think the company should subsidize each person? Why?
The above "common number" is changed to "mode", which is my wrong number


I think it's reasonable for the company to subsidize the telephone fee according to the median. It's fair to meet the needs of most people and save money
1 + 7 + 5 + 3 + 2 + 1 + 1 = 20 people, a total of 20 employees
30、40、40、40、40、40、40、40、50、50、50、50、50、60、60、60、70、70、80、400
The median of this group is (50 + 50) △ 2 = 100 △ 2 = 50
Therefore, the subsidy of 50 yuan per person is more reasonable



10000 yuan is deposited in the bank, the annual interest rate is 3.5%, and the inflation rate is 6.2%. One year later, the annual interest rate of the bank is 4.0%, and the inflation rate is 5.0%. Q: income after maturity
10000 yuan is deposited in the bank for one year. At that time, the annual interest rate is 3.5% and the inflation rate is 6.2%. One year later, the annual interest rate of the bank is adjusted to 4.0% and the inflation rate is 5.0%. Q: without paying interest tax, the actual income after maturity


First of all, when you deposit 10000 yuan, the bank's interest rate is 3.5, and the bank's interest rate changes one year later, so the nominal interest income must be 350 yuan, and the principal and interest are 10350 yuan
Because the inflation rate after one year is 5%, which means that you save money until the year when you withdraw money. According to the inflation rate, if you keep the original purchasing power of 10000, it must be 10000 times (1 + 5%) = 10500 after one year
So the real benefit is 150
It's useless for you to save money with inflation of 6.2 in the previous year, because that year has passed
Real interest rate = nominal interest rate - inflation rate (simple formula)



Average from grade one to grade five (please write the detailed process)
There are eight numbers in a row, and their average is 9.3. We know that the average of the first five numbers is 10.5, and the average of the last four numbers is 11.3. What is the fifth number?


8 * 9.3 = 74.4 total
5 * 10.5 = 52.5 sum of the first five
4 * 11.3 = 45.2 sum of the last four
74.4-52.5 = the sum of the last three of 21.9
45.2-21.9 = 23.3 the fifth number



Now, the inflation rate is 3.5%. The annual interest rate of the bank is only 2.25%. After we deposit our money in the bank, where is the money in the middle?
For example, every 100 yuan saved in the bank for a year will reduce 3.5 yuan, while the bank only pays 2.25 yuan of interest. Who's responsible for the loss of more than one yuan? I don't know finance, does XX take advantage? Economic experts, make it clear, because the total material amount of the whole society is unchanged, and when the more than one yuan thing arrives there, one yuan is nothing, but you know, The money in the bank is astronomical. Money is the medium of commodity exchange. How can our money be reduced? If necessary, please give me a lesson on finance. The more detailed, the better


It's really hard for people without financial knowledge to understand this problem. I'll try to explain it briefly
In times of economic crisis, in order to stimulate economic development, the country often adopts the method of increasing money supply. Because the increased money does not come from the actual material wealth, but from the printing press, so using these currencies to buy things is equivalent to collecting materials from the society free of charge, which is "cheating" and "robbing"
At this time, someone has to bear this part of the loss. Who are these people? The country often uses the method of infrastructure investment to stimulate the economy. The manufacturers who provide these materials are the first to suffer losses
However, these manufacturers are not stupid either. As the money in society becomes more and the material wealth becomes less due to the expropriation of the state, the price of these goods will rise. By rising the price, these manufacturers will pass on the loss to the buyers in the society
However, the income of ordinary people who depend on stable wages can not be increased in the same proportion, and their savings can not be increased in a hundred years, but they have to buy these goods at a high price. Therefore, the ultimate losses are all transferred to the ordinary wage earners who depend on stable wages and savings
Therefore, there are only two people who will not suffer from inflation: one is the state, because the state can print money with the printing press; the other is the investors who can increase the selling price of goods. Those whose income can not be increased in the same proportion and whose savings can not find the direction of investment bear the losses. Inflation is essentially killing the poor and helping the rich, Countries like to use inflation to stimulate the economy



Average application
2 kg of peanuts are packed in 5 bags on average, each bag of peanuts accounts for () of these peanuts, and each bag of peanuts weighs () kg, which is 1 kg of ()


2 kg peanuts are packed in 5 bags on average. Each bag of peanuts accounts for 1 / 5 of these peanuts. Each bag of peanuts weighs (0.4) kg, which is 2 / 5 of 1 kg



In the next two years, Ms. Li will deposit 10000 yuan in the bank at the end of each year. Assuming that the annual interest rate is 10%, and the interest is paid once a year, what is the sum of capital and interest of the investment after two years
I can't understand this topic. Does this investment refer to the 10000 yuan saved each year in the next two years? What does it mean to pay interest once a year


You don't form compound interest in this form because you pay interest every year. I don't know whether you are doing the topic or discussing practical problems. If you are doing the topic, please read the book about finance carefully. The situation is that at the end of the first year, 10000 yuan is deposited in the bank. Because it is the end of the year, there is no interest at the end of the first year, only 10000 yuan is the principal, If 10000 yuan is deposited, the sum of capital and interest is the principal of the first year, 10000 yuan plus the interest of 1000 yuan from the end of the first year to the end of the second year (the interest rate is 1000 yuan), and the principal of 10000 yuan at the end of the second year. Therefore, the sum of capital and interest after the second year is 10000 + 10000 * 10% + 10000 = 21000 yuan