Answer:
B
y = -3x - 8
Step-by-step explanation:
the product of the slopes of two perpendicular lines is -1
11 units. Since the y-values are the same, only the distance of the x-values need to be measured.
check the picture below.
![\bf tan(22^o)=\cfrac{x}{80}\implies \boxed{80tan(22^o)=x} \\\\[-0.35em] ~\dotfill\\\\ tan(43.5^o)=\cfrac{y+x}{80}\implies 80tan(43.5^o)=y+x\implies 80tan(43.5^o)-x=y \\\\\\ 80tan(43.5^o)-80tan(22^o)=y\implies 43.59506727037783689501 \approx y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{rounded~up}{44=y}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20tan%2822%5Eo%29%3D%5Ccfrac%7Bx%7D%7B80%7D%5Cimplies%20%5Cboxed%7B80tan%2822%5Eo%29%3Dx%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill%5C%5C%5C%5C%0Atan%2843.5%5Eo%29%3D%5Ccfrac%7By%2Bx%7D%7B80%7D%5Cimplies%2080tan%2843.5%5Eo%29%3Dy%2Bx%5Cimplies%2080tan%2843.5%5Eo%29-x%3Dy%0A%5C%5C%5C%5C%5C%5C%0A80tan%2843.5%5Eo%29-80tan%2822%5Eo%29%3Dy%5Cimplies%2043.59506727037783689501%20%5Capprox%20y%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A~%5Chfill%20%5Cstackrel%7Brounded~up%7D%7B44%3Dy%7D~%5Chfill)
make sure your calculator is in Degree mode.
1) c) y = 500 * 2^x
In year 1, x = 1 and the population is 500 * 2^1 = 1000
In year 2, this doubles to 500 * 2^2 = 500 * 4 = 2000
ans so on
This model describes the population doubling every year
2)
A) 3 (1/2)^x and C) (0.25)^x
These numbers reduce as x increases because there is a number with an absolute value less than 1 is being raised to the power of x. They also will never totally reach zero or become negative, but will approach zero as x becomes very large.
Answer:
semiannually = $1609.77
monthly = $1128.71
Step-by-step explanation:
