Value of Boat = $ 175,000
Property Tax = $2,883
To determine tax rate, we can use the formula:
Tax Rate (%) =
× 100
⇒ Tax Rate (%) =
× 100
⇒ Tax Rate = 1.647428.... %
Rounding off to the nearest hundredth (i.e. till 2 decimal places):
Tax Rate = 1.65% [Since after 1.64 then next digit is 7, which is greater than 5, hence 4 will change to 5 when rounded off]
Hence, the answer is 1.65% tax rate was charged on the boat
Well hello again :3. This is also quite simple. The diameter of a circle is 2 times the radius. So we can refit this into the equation and say that our new formula using diameter is
![pi(d^2/2)](https://tex.z-dn.net/?f=pi%28d%5E2%2F2%29)
. Now we can say that 10/2 is 5 and
![5^2](https://tex.z-dn.net/?f=5%5E2)
is 25. Therefore your answer is
![25pi](https://tex.z-dn.net/?f=25pi)
or 78.54.
Thhrhrrhrhrhrhrhrhrhrhjrhrhrhhhhhhhhhh
You have to model both options.
1) The composition of function is applying one function to the result of the other.
2) f(x) composed with g(x) is (f ° g) (x) = f [ g(x) ] means apply the function f to the result of g(x).
3) g(x) composed with f(x) is (g ° f) (x) = g [ f(x) ] means apply the function g to the result of f(x).
4) Do both:
i) f (g(x) = 2 [ g(x) ] - 6 = 2 [ 5x + 1] - 6 = 10x + 2 - 6 = 10x - 4
ii) g (f(x) = 5 [ 2 (2x - 6) ] + 1 = 5 [ 4x - 12] + 1 = 20x - 60
5) Compare both outputs:
Is 20x - 60 > 10x - 4?
Solve the inequality:
20x - 10x > 60 - 4 ⇒ 10x > 56 ⇒ x > 5.6
Then:
i) for x = 5.6 both outputs are equal
ii) for x > 5.6 g(f(x) is greater
iii) for x < 5.6 f(x) is greater.