Answer:
$31,341.81
Step-by-step explanation:
The compound amount equation is A = P(1 + r/n)^(nt), where P is the unknown principal, r is the annual interest rate, n is the number of compounding periods per year and t is the number of years. We want to solve this for P:
A
------------------- = P
(1 + r/n)^(nt)
Substituting the given numerical values;
$45,000
--------------------------- = P
(1+0.073/4)^(4*5)
Using a calculator, we evaluate this expression, obtaining: $31,341.81
Answer:
it's B it could also be written as y=3x+30
Step-by-step explanation:
4*1.15=4.6 - amount of gravel used by 4 trucks
2*0.7=1.4 - amount of sand used by 2 trucks
4.6+1.4=6 - Total amount of materials
6- final answer
Answer:
a)
Completing the square
b)
You can prove that is always positive, stating;
The sum of two squared numbers can't be negative. Hence is always positive.
Also, if we take the discriminant of
Once the discriminant is negative, the quadratic has no real root. So, the function never touches the real axis and the function lies above or below the real axis. If we take x as 0, y = 20, therefore, the function lies above the real axis. It is always positive.