Answer:
41,43,47
Step-by-step explanation:
The prime numbers between 30 and 45 are 31, 37, 41, and 43.
The value of the equation for "a" in terms of x and y is (y+1)/(x-3)²
Step-by-step explanation:
The equation is a classic example of a binomial equation in 2 variables and one constant.
Given- y=a(x-3)²-1
Transferring 1 to the left-hand side
y+1=a(x-3)²
We can opt for various method from now on like we can divide both the sides by (x-3)² or we can possibly transfer (x-3)² to the left-hand side to get the value of "a" in terms of "x" and "y"
∴ Opting for the first method, we get
(y+1)/(x-3)²=a
Thus the required value of "a" in terms of the variable "x" and "y" is as follows-
a= (y+1)/(x-3)²
Answer:
C is equal to any number that is greater than 16.
Step-by-step explanation:
1. c - 12 > 4
2. c > 16
Answer:
Capital: 2 400
Tasa: 5% = 5/100 = 1/20
Tiempo: 4 años
A) Interés = capital*tasa*tiempo
Interés = 2400*(1/20)*4
Interés = 480 soles
B) Interés = Capital*((1 + tasa)^tiempo+1)
Interés = 2400*((1 + 1/20)^4 + 1)
Interés = 2400*((21/20)^4 + 1)
Interés = 2400*(194 481/160 000 + 1)
Interés = 2400*(354 481/160 000)
Interés = 5 317,215Step-by-step explanation:
Answer:
The dimensions are 7.4m by 15.1 m (to the nearest tenth).
Step-by-step explanation:
Area = length * width
If the width = x then the length = 3x - 7 so
Area x(3x - 7) = 111
3x^2 - 7x - 111 = 0
Using the quadratic formula:
x = [ -(-7) +/- √((-7)^2 - 4*3*-111)] / (2*3)
x = 7.36, -5.03.
The width must be positive s it is 7.36 m.
The length = 3(7.36) - 7
= 15.08 m.