After two recent interest rate cuts, a bank has reduced the annual interest rate of one-year deposits from 2.25% to 1.98%. What is the average percentage of each interest rate cut?

After two recent interest rate cuts, a bank has reduced the annual interest rate of one-year deposits from 2.25% to 1.98%. What is the average percentage of each interest rate cut?


Let X
2.25% X (1-x) square = 1.98%



In April, the price of chicken in a certain place was greatly reduced. After the reduction, the price of 500g chicken was 2 / 3 of the original price. The price of chicken bought with 60 yuan was reduced and one kilogram more could be bought. The price of chicken began to rise again at the end of April. After two months, the price of chicken was increased to 14.4 yuan per 500g
(1) How much is the price of chicken per 500 grams in April
(2) Calculate the average monthly growth rate of chicken price in May and June
We have to solve it by quadratic method


Set the price as X Yuan / 500g before the reduction
60/x=60/(2/3x)-2
60/x=90/x-2
60/x-90/x=-2
-30/x=-2
x=15
15 * 2 / 3 = 15, that is, 10 yuan per 500 grams of chicken after the price reduction in April
2) Suppose that the average growth rate of chicken price in May and June is y
Then 10 (1 + y) & 178; = 14.4
1+y=±1.2
y=±1.2-1
y1=0.2=20%,y2=-2.2
That is to say, the average monthly growth rate of chicken price in May and June is 20%



Given that a, B, C > 0, a + B + C = 1, prove that, (1 / A-1) (1 / B-1) (1 / C-1) > = 8


Proof: it is known that a + B + C = 1, a, B, C are positive real numbers,
∵(1/a-1)
=(1-a)/a
=(a+b+c-a)/a
=(b+c)/a
And (√ B - √ C) ^ 2 ≥ 0
b+c≥2√(bc)
∴(1/a-1)=(b+c)/a≥2√(bc)/a
In the same way
(1/b-1)≥2√(ac)/b
(1/c-1)≥2√(ab)/c
So (1 / A-1) * (1 / B-1) * (1 / C-1) ≥ [2 √ (BC) / a] * [2 √ (AC) / b] * [2 √ (AB) / C]
=8 √[(a^2)*(b^2)8(c^2)]/(abc)
=8
∴(1/a-1)*(1/b-1)*(1/c-1)≥8



The area of a parallelogram is 24 square centimeters larger than that of a triangle with the same height and bottom. What is the area of this triangle______ Square centimeter


The area of parallelogram is: 24 × 2 = 48 (square centimeter) the area of triangle is: 48-24 = 24 (square centimeter) a: the area of this triangle is 24 square centimeter



What is the range of solutions of the equation x ^ 3 + lgx = 18?


From lgx, we get x > 0, x ^ 3 + lgx = 18, lgx = 18-x ^ 3, x = 10 ^ (18-x ^ 3) > 10 ^ 18



How to divide the carpet with length of 4.8m and width of 3M into two rugs with equal shape and put them in a room with length of 4m and width of 3.6m?


First, verify whether the area of the carpet is equal to the area of the room, 4.8 × 3 = 14.4 (M & # 178;) 4 × 3.6 = 14.4 (M & # 178;), and then consider how to cut and match. Because the width of the room is 3.6 / 4.8 = 3 / 4 of the length of the carpet, the length of the carpet can be divided into 4 parts and the width into 3 parts, as shown in the figure;



If (x-3) (2x-5) = the square of 2x + BX-15?
There is such a question, calculate the value of (2x + 3) (6x + 2) - 6x (2x + 13) + 8 (7x + 2), where x = 2013, Xiao Ming mistakenly copied x = 2013 to x = 2012, but his calculation result is also correct, what's the matter?


(2x + 3) (6x + 2) - 6x (2x + 13) + 8 (7x + 2) = 12x & # 178; + 22x + 6 - (12x & # 178; + 78x) + 56x + 16 = 12x & # 178; + 22x + 6-12x & # 178; - 78x + 56x + 16 = 22 in the calculation process, X has been eliminated, so the value of algebraic formula (2x + 3) (6x + 2) - 6x (2x + 13) + 8 (7x + 2) has nothing to do with the value of X



If the bottom of a triangle is reduced by one centimeter and the height remains unchanged, then the area will be reduced by two square centimeters


If the bottom = A and the height = h have more triangular area formula: S = bottom * height / 2 = ah / 2, and the bottom edge decreases by 1cm, then the area becomes = (A-1) H / 2, and the area change = ah / 2 - (A-1) H / 2 = 1 / 2



Let m (m, 0) m be a real number and find the minimum value of | PM | in M


Let P (x, y), \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\themost



If the value of algebraic formula 1-3x / 2 is not less than - 1 and not more than 5, then the value range of X is


Not less than or equal to
So (1-3x) / 2 ≥ - 1
1-3x≥-2
3x≤3
x≤1