Answer:
56,161
Step-by-step Thought Process:
Use the equation:
to solve this problem. Let x= time in years, a= initial amount, and r= growth rate.
= ![51368(1+0.018)^5](https://tex.z-dn.net/?f=51368%281%2B0.018%29%5E5)
When you solve you get this number:
56,160.57516085
Round to the nearest whole number:
56,161
Answer: 235 cm^2
Explanation: you can cut the shape into two smaller ones and then solve for each smaller shapes area. to find out the length of the top piece with 11 as length you can subtract nine from fourteen. from their you calculate the area of the top shape (11x5=55) and then the bottom shape (9x20=180). from their just add the two areas to get 235.
the height of the tree is 23 feet .
<u>Step-by-step explanation:</u>
Here we have , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. We need to find Find the height of the tree. Let's find out:
According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So
⇒ ![Tanx=\frac{y}{32}](https://tex.z-dn.net/?f=Tanx%3D%5Cfrac%7By%7D%7B32%7D)
But , From tony scenario
⇒ ![Tanx=\frac{5.75}{8}](https://tex.z-dn.net/?f=Tanx%3D%5Cfrac%7B5.75%7D%7B8%7D)
Equating both we get :
⇒ ![\frac{y}{32} = \frac{5.75}{8}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B32%7D%20%20%3D%20%5Cfrac%7B5.75%7D%7B8%7D)
⇒ ![y=\frac{5.75(32)}{8}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B5.75%2832%29%7D%7B8%7D)
⇒ ![y=23ft](https://tex.z-dn.net/?f=y%3D23ft)
Therefore , the height of the tree is 23 feet .
B. (-2,1)
By checking the x coordinates, I saw there was two -2, but the output was different, so one of them had to be taken out to make it a function.
Function: Every input must have one out must.
Answer:
you put the points into the slope formula and solve : (y2-y1)/(x2-x1)
1. (4 -1) / (-2 -3)
3 / -5
2. (-1 -(-2)) / (5 - 0)
(-1 +2) / 5
1/ 5
Step-by-step explanation:
i hope this helped :)