Let a the price of a basket of oranges be O, that of a basket of apples A, a basket of mangoes M and a basket of peaches P, then
O + A + M + P = 790 . . . (1)
M - 4 = P + 7 = 3O = A/2 . . . (2)
From (2), we have:
M = P + 11
O = (P + 7)/3
A = 2P + 14
Substituting for M, O and A into (1), gives:
(P + 7)/3 + 2P + 14 + P + 11 + P = 790
P + 7 + 6P + 42 + 3P + 33 + 3P = 2370
13P + 82 = 2370
13P = 2288
P = 176
Therefore, the price of a basket of peaches is Rs176.
First of all, a bit of theory: since the area of a square is given by
where s is the length of the square. So, if we invert this function we have
.
Moreover, the diagonal of a square cuts the square in two isosceles right triangles, whose legs are the sides, so the diagonal is the hypothenuse and it can be found by
So, the diagonal is the side length, multiplied by the square root of 2.
With that being said, your function could be something like this:
double diagonalFromArea(double area) {
double side = Math.sqrt(area);
double diagonal = side * Math.sqrt(2);
return diagonal;
}
(2x+3y)⁴
1) let 2x = a and 3y = b
(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
0 | 1
1 | 1 1
2 | 1 2 1
3 | 1 3 3 1
4 | 1 4 6 4 1
0,1,2,3,4,.. represent the exponents of binomials
Since our binomial has a 4th exponents, the coefficients are respectively:
(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):
2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)
16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
25% because u have to divide the diameter of the logo to get the radius.
Answer:
50 years
Step-by-step explanation:
use the simple interest formula :
PRT/100
P is the principle (5000)
R is the rate of interest (4)
T is the time taken (x- unknown)
the amount at the end is double the amount invested = 5000*2 = 10000
(5000*4 * x )/100 = 10000
20000x/100=10000
20000x = 100*10000
20000x = 1 000 000
x= 1 000 000/ 20 000
x = 50
it will take<u> 50 years </u>
