Answer:
y= -2x -4
Step-by-step explanation:
slope: rise/run = 2/-1 = -2
y-intercept: -4
The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot
<h3>Cost of wallpaper per square foot</h3>
- length = 9 ft
- Width = 8 ft
- Height = 5 ft
Surface area of a box = 2(lh + wh + lw)
= 2(9×5 + 8×5 + 9×8)
= 2(45 + 40 + 72)
= 2(157)
= 314 square foot
- Total cost of wallpaper = $942
Cost of wallpaper per square foot = $942 ÷ 314 square foot
= $3 per square foot
Learn more about surface area:
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Julie would reach her goal first. Julie would reach her goal in approximately 316 days while it would take Mary approximately 333 days to reach it.
I know this because the steps to solve the problem are:
1.) 1,000/12 = 83.333 (to find how many days it would take her everyday)
2.) 83.333x4 = 333 (multiplying the answer by four makes it every four days)
3.) determine that it takes Mary 333 days
4.) 1,000/19 = 52.631 (just like step 1 but with different numbers)
5.) 52.631x6 = 316 (just like in step 2 but different numbers)
6.) determine it takes Julie 316 days
7.) 316 < 333 (takes Julie less time)
Answer: 25.2361459992ft
This question can be solved by a trigonometric equation. Shadow formed when something with height like a tree, so it can be pictured as a vertical line. Shadow is a length of and can be pictured as a horizontal line.
In trigonometric, to find the vertical line length with horizontal line you need tan function. The sun angle will be used in the function, so the calculation would be: tan(31) x 42ft = 25.2361459992ft
We have that if we assume standard exponential growth, the equation of the population will be:

if we start counting from the moment that the population was 7000. We are given that 7000*

=12000, namely that P(5)=12000 and we need to find

. Since e^(10k)=e^(5k)*e^(5k), and since we can solve for e^(5k) from P(5), we have:
e^(5k)=12000/7000 and we can calculate P(10). P(10)=7000

= 20571 people.