Answer:
5.6
Step-by-step explanation:
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Answer:
The length of the arc is 7.536cm
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 6cm
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 6cm
c = 37.68cm
The length of the circumference is 37.68cm
Now we calculate the fraction that corresponds to this arc with the rest of the circumference
(2 pi /5) / (2pi) = 1/5
now we multiply the circumference by the fraction
37.68cm * 1/5 = 7.536cm
The length of the arc is 7.536cm
Keywords:
<em>Quadratic equation, vertex shape, parabola
</em>
For this case we have to rewrite the given quadratic equation, in the form of vertex, for this, we must take into account that a quadratic equation of the form 
, can be rewritten in the form of vertex as: 
Vertice is the lowest or highest point of the parabola. The vertex is given by: 
. So, let: 
, to find the equation in the form of vertex, we follow the steps below:
Step 1:
We take the common factor to the first two terms of the equation:
Step 2:
We work square:
We divide the coefficient of the term 
by 2 and its result is squared, that is:
So, we have:
Step 3:
We simplify:
Step 4:
We factor:
Thus, 
Answer:
The equation in the form of vertex is: , and the vertex is 
Answer:
Continuous compounding makes .48 more
Step-by-step explanation:
Continuous Compound interest
A = Pe^(rt)
Where A is the amount in the account, P is the principal, r is the rate, t is the time
P = 1000
r = .06
t=1
A = 1000 e^(.06*1)
A =1061.84
The formula for compound interest is
A = P (1 + r/n) ^ (rt)
where A is the amount in the account , P is the principal, r is the rate, n is the number of times per year, t is the time
P = 1000
r = .06
n = 4 times per year
t=1
A = 1000 (1+.06/4) ^(4*1)
A = 1000(1.015)^4
A = 1061.36
The difference is
1061.84-1061.36 = .48
Hello! i’m in algebra 2 and passed algebra 1 with a 97%. any chance i might be able to help you? i don’t want money for it tho
