Answer:
5%
Step-by-step explanation:
The question showing a growing function that commonly used in compound interest calculation. The formula for compound interest is:
A = P (1 +r) ^ t
A= amount of the balance after a period of t
P= principal, the initial money deposit
r= rate
t= time
The percent of balance increase should be represented by the rate(r). In this equation, the principal will be 130, (1+r) will be 1.05, and time will be x.
The value of rate (r) will be:
(1+r) = 1.05
r= 1.05-1= 0.05 = 5%
Answer:
the equation is : x²-x-12
Step-by-step explanation:
the quadratic equation is in the form of : y=ax²+bx+c
the product of the zeros is -12 and the sum is 1
b = - 1
c=-12 (product)
y=x²-x-12
check : factorize first (x+3)(x-4)=0
either x+3=0 then x=-3
or x-4=0 then x=4
-3*4=-12
-3+4=1
the equation is : x²-x-12
Answer:
31
Step-by-step explanation:
Given
x² + 5x - 3 = 0
with a = 1, b = 5, c= - 3 , then
sum of roots x₁ + x₂ = - 
= - 
= - 5
product of roots = 
= 
= - 3
Now
(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is
(- 5)² = x₁² + 2(- 3) + x₂²
25 = x₁² - 6 + x₂² ( add 6 to both sides ), then
x₁² + x₂² = 31
Answer: 147 cm²
Step-by-step explanation:
Since it says to use 3 for pi, and the radius is given to us (7 cm), we will plug in and solve for the area.
A = πr²
A = (3)(7)²
A = 147 cm²
The least common multiple between 3 and 4 is 12, so we can use this fact to rewrite both 1/3 and 1/4 in 12ths:
We're left with an answer of
7/12, which can't be reduced.
