Vertex = (6, 5)
axis of symmetry is line x = 6
A third point in the parabola is (12, 0)
equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139
Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x
Answer: 2.45346638e+19
Step-by-step explanation:
Answer:
a 1 over 25
Step-by-step explanation:
Problem Statement:
What is the value of
?
To solve this problem, we must familiarize ourselves with the concept of exponents and rules that guides them.
Exponents are used by scientists to report higher orders of a number.
Such large and often recurring expression is usually made up of a base and an exponent value.
The exponent value is the power of the base; for example, 4³ has 4 as its base and 3 as the exponent.
Several rules guides solving an exponent, to this problem, the most applicable one is :
= 
=
= 
=
Therefore the solution is 1 over 25
Answer:
$576.80
Step-by-step explanation:
We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.
We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.
We will use simple interest formula to solve our given problem.
A = Final amount after t years,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
Let us convert 1% into decimal form,
1%=1/100=0.01
P=$560 and t=3
A=$560 (1+0.01(3))
A=$560 (1+0.03)
A= $560 (1.03)
A= $576.80
Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!