Answer:
Sylvia's investment would double first
Step-by-step explanation:
The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:
Sylvia investment:
Sylvia's investment would double in 9 years' time (72/8)
Manuel's investment"
Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)
From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first
Answer:it is in fact a
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please consider the complete question.
You are painting the outside of a jewelry box including the bottom. To find the surface area (S.A) of the jewelry box, you can use the formula 
, where L is length, W is width, and H is height. What is the surface area of the jewelry box in terms of x."
To find the surface area of box in terms of x, we will substitute the given values of length, width, and height in terms of x as:
Now, we will use distributive property 
to simplify our expression as:
Let us combine like terms.
Therefore, the surface area of the jewelry box in terms of x would be 
.
I'm going to assume that you're discussing the linear function y = mx + b. If that's not it, please provide more information on the function you're studying.
y = mx + b has a graph that is the straight line through (0,b) with slope m.
y = m(x-5) + b has a graph which is parallel to the previous graph, but intersects the x-axis at a different point.
Examples: start with y = mx + b
Suppose we have y = 3x + 2 to work with
The graph intersects the y-axis at (0,2). It intersects the x-axis where y=0=3x+2, or at x = -2/3 => (-2/3, 0)
Now modify y = 3x + 2 by replacing "x" with "x-5." the graph of this "new" function f(x) = 3(x-5) + 2 is parallel to the original graph, but lies 5 units to the right of the original graph. Both lines have slope 3.
In this case, if x increases by 4 (as your problem states), y will increase by 3(4), or 12, units.
If we go back to y = m(x-5), we see that the graph of this function intersects the x-axis at x=5, and this graph has the (unknown) slope m.
If x increases by 4, y increases by (m)(4), or 4m.
