tan x = sin x/cos x
cos³ x *tan²x - cos x = cos³x *(sin²x/ cos² x) - cos= cosx*sin²x - cos x =
= cos x(sin² x - 1) = - cos x(1 - sin²x)= - cosx*cos²x = - cos³ x
Answer:
Step-by-step explanation:
Using annuity, each sisters saving can be calculated.
Annuity formula:
Fv = PMT (( 1 + i)^n - 1) / i
where Fv is the future value (amount), PMT is the periodic payment ( $2000),
i is the rate per period ( 7%) and n is the number of payments.
Using the above formula to calculate each sister savings after their respective years of savings
Jane ( between 25 - 35, with n = 10 years)
Fv = 2000 (( 1 + 0.07)^10 - 1 ) / 0.07 = $ 27634.3
Joan ( between 35 - 65, with n = 30 years)
Fv = 2000((1 + 0.07)^30 - 1) / 0.07 = $ 188914
Joan actually have invested more since over 30 years she has invested $60000 while Jane on the other hand invested for 10 years which equals $20000 and Joan has more money after retirement. Going by the result it will make sense for Jane to emulate Joan or increase her number of years of saving in other to improve her retirement saving significantly close to Joan or even more.
Answer:
Take a better picture. cant see everything
Step-by-step explanation:
Answer:
d = 8
Step-by-step explanation:
For:
(X1, Y1) = (-4, 5)
(X2, Y2) = (-12, 5)
Distance Equation Solution:
d=(−12−(−4))2+(5−5)2−−−−−−−−−−−−−−−−−−−−√
d=(−8)2+(0)2−−−−−−−−−−√
d=64+0−−−−−√
d=6–√4
d=8
Therefore, the distance between (-4,5), (-12,5) is 8.
Answer: A growing division of labor between employees with different skills
Step-by-step explanation:
