Answer:
Step-by-step explanation:
Check attachment for solution
$23.1 i think is the answer not sure
As stated in (i), the equation of the line is: ln y = -0.015x + .26
(By the way, I checked your answers for parts (i) and (ii) and they are both correct)
(iii)
Plug in (1.1) for y and solve:
ln (1.1) = -0.015x + .26
0.095 = -0.015x + .26
-0.165 = - 0.015x
10.979 = x
Answer: x = 10.979
So for this it's asking to multiply 10,000 glass beads by the length of 0.4 cm.
So to make it easier let's just make it a fraction.
This will make it 4/10 (because 0.4 is just 4 tenths of a whole number)
So now we can upscale the sizes to the proper ratio. This ratio being the thousands.
4000/10000
Meaning the answer is 4000cm in length.
L=2W+3, A=LW, using L from the first in the second gives you:
A=(2W+3)W
A=2W^2+3W, and we are told A=90 so
2W^2+3W=90
2W^2+3W-90=0
2W^2-12W+15W-90=0
2W(W-6)+15(W-6)=0
(2W+15)(W-6)=0, since W>0 for all real possibilities,
W=6ft, and since L=2W+3
L=15ft
So the pool will be 6 ft wide by 15 ft long.
