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: 10:55
Step-by-step explanation:
Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.
The time the buses will be back at the depot simultaneously will be when:
N(a) * 25mins = N(b) * 35mins
Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.
Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc
Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc
This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.
So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is
at 08:00 + 2:55 = 10:55
The number of calls is 283.2 but can be rounded to just 283 calls. Sorry if i'm wrong
Answer:
A
Step-by-step explanation:
Because 105%*105%=1.1205
and the only number divisible by that is A
First get the factors of 24: 2*2*2*3Then the factors of 9: 3*3 Comparing the factors, the GCF is 3 Then you can rewrite the expression: 3*8 + 3*3 At this point, I'm not sure whether what you mean is really distributive property or not since this case is more of a factoring. 3*(8+3)
