Population are often modelled by exponential functions
The population will reach 1000000 people after 26.5 years
The population function is given as:
When the population reaches 1000000 people, we have:
P(x) = 1000000
So, the equation becomes
Divide both sides by 692600
Take logarithm of both sides
Apply logarithm to both sides
Make x the subject
Solve the logarithms of 1.444 and 1.014
Divide
The value of x, is the number of years the population reaches 1000000 people.
Hence, the population will reach 1000000 people after 26.5 years
Read more about population at:
brainly.com/question/24581924
X = 180 - 104 - 22 = 180 - 126 = 54 degrees
y = 180 - 54 = 126 degrees
z = 180 - 126 - 19 = 180 - 145 = 35 degrees
part A
if the paperbacks are 40% less, that means 100% - 40% = 60%, they actually are 60% of the price of the hardcover ones.
part B
so, if they return it, they get 1/3 credit, if they try to sell it, is half off, which is more than 1/3. 22 got damaged.
![\bf \stackrel{\textit{damaged books at half-price}}{(22\cdot 14.994)\cfrac{1}{2}\implies 164.934}~\hfill \stackrel{\textit{damaged books at one-third price}}{(22\cdot 14.994)\cfrac{1}{3}\implies 109.956} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 164.934 - 109.956 = 54.978~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bdamaged%20books%20at%20half-price%7D%7D%7B%2822%5Ccdot%2014.994%29%5Ccfrac%7B1%7D%7B2%7D%5Cimplies%20164.934%7D~%5Chfill%20%5Cstackrel%7B%5Ctextit%7Bdamaged%20books%20at%20one-third%20price%7D%7D%7B%2822%5Ccdot%2014.994%29%5Ccfrac%7B1%7D%7B3%7D%5Cimplies%20109.956%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20164.934%20-%20109.956%20%3D%2054.978~%5Chfill)
part C
![\bf \textit{First Day}~\hfill \stackrel{hardcover}{3(24.99)}+\stackrel{paperback}{8(14.994)}+\stackrel{damaged}{3\left( 14.994\cdot \frac{1}{2} \right)} \implies 217.413 \\\\\\ \textit{Second Day}~\hfill \stackrel{hardcover}{4(24.99)}+\stackrel{paperback}{5(14.994)}+\stackrel{damaged}{8\left( 14.994\cdot \frac{1}{2} \right)}\implies 234.906 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \boxed{17.493}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7BFirst%20Day%7D~%5Chfill%20%5Cstackrel%7Bhardcover%7D%7B3%2824.99%29%7D%2B%5Cstackrel%7Bpaperback%7D%7B8%2814.994%29%7D%2B%5Cstackrel%7Bdamaged%7D%7B3%5Cleft%28%2014.994%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%7D%20%5Cimplies%20217.413%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7BSecond%20Day%7D~%5Chfill%20%5Cstackrel%7Bhardcover%7D%7B4%2824.99%29%7D%2B%5Cstackrel%7Bpaperback%7D%7B5%2814.994%29%7D%2B%5Cstackrel%7Bdamaged%7D%7B8%5Cleft%28%2014.994%5Ccdot%20%5Cfrac%7B1%7D%7B2%7D%20%5Cright%29%7D%5Cimplies%20234.906%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20%5Cboxed%7B17.493%7D)
I don't think she is incorrect, $17.5 is close to $20, she didn't say it was exactly $20, just thereabouts, and 17.5 is around that much.
Answer:
This statement is sometimes true
Answer:
50,645.82
Step-by-step explanation:
=50,645.82
