Hi there
The tax rate is
(9,525,000÷186,000,000)×100
=5.1%
Hope it helps
Answer:
f(-4) = ⅑
Step-by-step explanation:
Given
f(x) = 9(3)^x
Required.
Find f(-4)
f(x) = 9(3)^x
Substitute -4 for x
f(-4) = 9(3)^(-4)
Apply laws of indices
f(-4) = 9 * 1/(3⁴)
f(-4) = 9 * (⅓)⁴
f(-4) = 9 * 1/81
f(-4) = 9/81
Simplify
f(-4) = ⅑
Question 1:
Add all the ratio numbers.
2+6+7=15
Now, divide that from 45, which is the given perimeter
45/15=3
Now, multiply the whole ratio by 3.
6:18:21
The shortest side is 6 inches.
Question 2:
Add all the ratio components.
17+16+12=45
Divide that by 180, the total degrees in a triangle.
180/45=4
Multiply that with 17 (largest ratio component).
You get 68, which is your answer.
Question 3:
(2x+7)/(3x-4) = 11/2
This proportion is quite simple and can be solved by setting the numerator equal to the numerator and the denominator equal to the denominator.
2x+7=11
3x-4=2
If you solve both of these, the value of x is 2.
That's your answer.
(Note: this is only a special case where you can do this)
Hope this helps! :)
Answer:
x = 2
Step-by-step explanation:
Multiply both sides by (x-5) and expand:
(x+4)/(x-5)*(x-5) = -2(x-5)
x+4 = -2x+10
Subtract 4 from both sides:
x+4-4 = -2x+10-4
x = -2x+6
Add 2x to both sides:
x+2x = -2x+6+2x
3x = 6
Divide both sides by 3:
3x/3 = 6/3
x = 2