The interest is compounded quarterly because the formula is
A=p (1+r/k)^kt
A it's 18810.67 but I will assume it's unknown ?
P present value 7350
R interest rate 0.045
K compounded quarterly 4
Now solve the formula as the interest is compoundedquarterly
A=7,350×(1+0.045÷4)^(4×21)
A=18,810.67
So the answer is quarterly
Answer:
2
Step-by-step explanation:
We have that
![y=- x^{2} +36](https://tex.z-dn.net/?f=y%3D-%20x%5E%7B2%7D%20%2B36)
we know that
Is the equation of a vertical parabola open down
so
the vertex is a maximum
step 1
convert the equation of the parabola in the vertex form
![y=- x^{2} +36 \\ y-36=- x^{2}](https://tex.z-dn.net/?f=y%3D-%20x%5E%7B2%7D%20%2B36%20%5C%5C%20y-36%3D-%20x%5E%7B2%7D%20)
the vertex (h,k) is the point (0,36)
Part a) The point on the graph where the height of the tunnel is a maximum is (0,36)
Part b) The points on the graph where the height of the tunnel is zero feet is when y=0
so
for y=0
![- x^{2} +36=0 \\ x^{2} =36 \\ x= (+/-) 6](https://tex.z-dn.net/?f=-%20x%5E%7B2%7D%20%2B36%3D0%20%5C%5C%20x%5E%7B2%7D%20%3D36%20%5C%5C%20x%3D%20%28%2B%2F-%29%206)
the points are (-6,0) and (6,0)
see the attached figure
Greatest common factor (GCF) of 42 and 63 is 21. We will now calculate the prime factors of 42 and 63, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42 and 63.
Answer:
27
Step-by-step explanation:
Evaluate the
= 3
Since
= 81
We are noe left to evaluate (3)³ = 27