4z+2(z-4)=3z+11 perform indicated multiplication on left side
4z+2z-8=3z+11 combine like terms on left side
6z/-8=3z+11 add 8 to both sides
6z=3z+19 subtract 3z from both sides
3z=19 divide both sides by 3
z=19/3
z=6 1/3
So there is only one solution when z=6 1/3
Hi there
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r)^(-n))÷r]
So we need to solve for pmt (the amount of the annual withdrawals)
PMT=pv÷ [(1-(1+r)^(-n))÷r]
Pv present value 65000
R interest rate 0.055
N time 10 years
PMT=65,000÷((1−(1+0.055)^(
−10))÷(0.055))
=8,623.40....answer
Hope it helps
Answer:
We conclude that:
(gºf)(4) = g(f(4)) = g(6) = 6
Step-by-step explanation:
Given
We have to determine (gºf)(4).
(gºf)(4) = g(f(4))
f(4) = 2(4)-2
= 8 - 2
= 6
Thus,
(gºf)(4) = g(f(4)) = g(6) = 6
Therefore, we conclude that:
(gºf)(4) = g(f(4)) = g(6) = 6
Answer:
x = 33.33 kilometers
Step-by-step explanation:
you could make use of the percent, base, and rate formula here. we know that 15% is the rate, 5 kilometers is the percent, therefore what we are looking for is our base.
; cross multiply.
15x = 500
x = 33.33 kilometers
therefore, the race is 33.33 kilometers.