common ratio is + 10 % which would mean 1.10
part a)
PV = pmt { (1-(1+i)-n ) / i } PV is the financed amount at the beginning
pmt = 285.56
i is interest is per month = .09/12
n is periods 5 1/2 years of months = 66
For part b 66 payments x 285.56 - part a = interest paid
This is a bowl shaped parabola due to the positive coeffecient of the x2 term
the minumum will occur at t = - b/2a = - -9/2 = 9/2 This is the real value which produces the minumum value of the quadratice
IF you want that minumum value:
use this value of 't' in the equation to calculate the minumum value of the quadratic .....
Imagine a chain aroung the gears.....like the gaers of your bike.....the amount of chain passing over each gear per second is the same....
so the linear velocity is the same
smaller gear circumference = pi * 2r = 8 pi
28 revolutions in 15 seconds is 112 revolutions per minute
112 r/min * 8pi cm /r = 896 pi cm/min
lim x→−3 |2x − 9| = | 2(-3) -9 | = |-15| = 15
A = 12 ( x+3)
A = 12 ( 20 +3) would mean width is 20+3 = 23 units
(xy)2 =46656
xy = 216
add all of the factors of 216 to find the sum of all possible x values: the factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216.
A) Probability point chosen is on XZ XZ covers 5 + 3 = 8 units out of the total 2+5+3 =10
8 out of 10 is 8/10 = 4/5 = 80%
Think yo can do the next two?
Trig identity cos ( x/2) = ± sqrt ( ( 1 + cosx)/2)
= ± sqrt (4/10)
=± 2 sqrt 10 /10
= ± 1/5 sqrt 10 = - 1/5 sqrt 10 (since original cos was in Q III x/2 is in Q II and is negative)
Using a logarithmic scale makes VERY LARGE numbers easier to work with in calculations etc.
so instead of 10 000 000 joules of energy we would say something like '7' on the scale ( as in 107)
