Answer:
This is an exponential growth problem.
The growth rate is 4% (0.04).
The time is 10 years (10 years from 2005 to 2015)
A = P(1+i)t
A = amount spent in 2015
P = amount spent in 2005
i = interest rate expressed as a decimal
t = # years
A = 500(1.04)10
A = 500(1.480244)
A = 740.122 ==> 740 billion
Step-by-step explanation:
Perimeter: all the sides added together, so that would be 1/2+1/2+3/4+3/4, which is 2 and a half feet
Area: the two side lengths multiplied, so 1/2*3/4, which is 3/8 feet squared
Answer:
-15
Step-by-step explanation:
10x-3y= -15
Answer:
The equation for the new line in slope-intercept form is:
Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:
which for our case is:
Answer: 33 ft².
Step-by-step explanation:
1. As you can see in the figure attached, the trapezoid is formed by a rectangle and two equal right triangles. The base of each triangle is 4 feet and you know the lenght of the hypotenuse AD, therefore, you can calculate the height by applying the Pythagorean Theorem:
2. Now, you can calculate the area with the following formula:
Where <em>B</em> is the longer base,<em> b</em> is the shorter base and <em>h</em> is the height.
Then: