Answer:
93312
Step-by-step explanation:
8% in decimal form is 0.08
Multiply the number of computers by 0.08 get the amount of increase every year.
Computers produced in 2021:
80,000 x 0.08 = 6400
80,000 + 6400 = 86400 computers
Computers produced in 2022:
86400 x 0.08 = 6912
86400 + 6912 = 93312 computers
Answer:
1.6 hours
Step-by-step explanation:
Juts divide the number of minutes by 60 and then round to the nearest tenth
95 ÷ 60 = 1.58333 = 1.6
9514 1404 393
Answer:
a) $215,892.50
c) $220,803.97
e) $222,534.58
f) $222.554.09
Step-by-step explanation:
The compound interest formula is ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.
When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.
__
For continuous compounding, the formula is ...
FV = Pe^(rt)
FV = 100,000e^(0.08·10) = 222,554.09
What we know:
line P endpoints (4,1) and (2,-5) (made up a line name for the this line)
perpendicular lines' slope are opposite in sign and reciprocals of each other
slope=m=(y2-y1)/(x2-x1)
slope intercept for is y=mx+b
What we need to find:
line Q (made this name up for this line) , a perpendicular bisector of the line p with given endpoints of (4,1) and (2,-5)
find slope of line P using (4,1) and (2,-5)
m=(-5-1)/(2-4)=-6/-2=3
Line P has a slope of 3 that means Line Q has a slope of -1/3.
Now, since we are looking for a perpendicular bisector, I need to find the midpoint of line P to use to create line Q. I will use the midpoint formula using line P's endpoints (4,1) and (2,-5).
midpoint formula: [(x1+x2)/2, (y1+y2)/2)]
midpoint=[(4+2)/2, (1+-5)/2]
=[6/2, -4/2]
=(3, -2)
y=mx=b when m=-1/3 slope of line Q and using point (3,-2) the midpoint of line P where line Q will be a perpendicular bisector
(-2)=-1/3(3)+b substitution
-2=-1+b simplified
-2+1=-1+1+b additive inverse
-1=b
Finally, we will use m=-1/3 slope of line Q and y-intercept=b=-1 of line Q
y=-1/3x-1
