Step-by-step explanation:
x=width of pool
2x=length of pool
the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4
the area of this rectangle minus the area of the pool is 196 square feet
(2x+4)(x+4)-(x)(2x)=196
2x^2+4x+8x+16-2x^2=196
combine similar terms
12x+16=196
12x=196-16
12x=180
x=180/12
x=15 feet is the width of the pool
check: 34*19-30*15=196
646-450=196
196=196
Here we are given the information that an insurance agent receives 16% commission on every premium paid.
Now we are given that a premium of $497.69 is paid.
Let us say $x is the commission paid on the policy with a premium of $497.69.
Let us try to find the amount x here.
So we have to find 16% of 497.69 to get the commission amount x.
So finding 16% of 497.69.
x= 16% of 497.69 = 0.16*497.69 = 79.63
Answer: Commission of $79.63 is paid on a policy with a premium of $497.69.
Direct variation describes - roughly - a relationship between two values where <em>scaling one value will scale the other by the same amount</em>. The x value <em>doubles </em>as it goes from 5 to 10, and since y varies directly as x, we can double the old y value to get the new one as well. Since the old y value is 8, our new y value should be 8 x 2 = 16.
Answer:
c
Step-by-step explanation:
I am not sure though..it just seems to make more sense
Step-by-step explanation:
The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of a function is compressed.
As it is given in the question that the function is transformed by a compression factor of 3.
Given function
The value of k will be 3 if the function is transformed by a compression factor of 3