You may recognize that ∆WYZ is a 3-4-5 right triangle. Without any work, then
c = 5
_____
If you don't remember that a right triangle with legs 3 and 4 has a hypotenuse of 5, you can compute it using the Pythagorean theorem.
c² = 3² + 4²
c² = 9 + 16 = 25
c = √25 = 5
Let x = the width
then
2x = the length
:
The box dimensions: 2x by x by 4
Given the surface area:
2(2x*x) + 2(2x*4) + 2(x*4) = 220
:
4x^2 + 16x + 8x = 220
A quadratic equation:
4x^2 + 24x - 220 = 0
simplify, divide by 4
x^2 + 6x - 55 = 0
Factor
(x+11)(x-5) = 0
The positive solution is what we want here:
x = 5 ft is the width
then
2(5) = 10 ft is the length
:
Find the volume
10 * 5 * 4 = 200 cu/ft is the volume
The y-intercept is the y value where the blue line crosses the Y axis which is the vertical black line.
The line crosses at the number 4, so the y-intercept is 4
Answer: D. 4
Since y+8 is positive, you don't have to find the absolute value since the absolute value is y+8. all you have to do is find a number that makes the statement true for y. the symbol between next to the 3 asks for a number that is greater or equal to 3. So your answer would be
≥-5
Answer:
$2,851.80
Step-by-step explanation:
Lets use the compound interest formula to solve:

<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
First, change 1.1% into a decimal:
1.1% ->
-> 0.011
Next, plug the values into the equation:


She will have $2,851.80 after 5 years.