Answer:
x= -2
Step-by-step explanation:
-1/3(9x-27)=15
Multiplying both sides by -3
9x-27=15×(-3)
9x-27=-45
Now
Add 27 to both sides
9x=-45+27
9x=-18
Divide both sides by 9
x= -2
There are only 2 factors in a prime number....1 and the prime number...because that is what a prime number is...a number with only 2 factors..1 and itself.
The range is the number of units between the smallest and largest number. organising your numbers from smallest to largest:
12, 19, 20, 28, 34, 36, 45, 45
in your case 12 is the smallest number of your set. lowering it to 3 would increase the distance between the two numbers, therefore increasing the range
hope that helps :)
Answer:
74.8 m
Step-by-step explanation:
We are given that
Speed of peacock,v=10 km/h
Time,t=1 min 12 sec=60+12=72 s=
1 hour=3600 s
Distance=vt=
Using 1 km=1000 m
We know that
Using the formula
Hence, the peacock was at height of 74.8 m on the tree.
(a) Net present value of machine
Pm=-C+V/(1+i)^n=37000-1000/1.08^4
=-36264.97
=-36265 (rounded to nearest dollar)
Cost of machine amortized over 4 years (annualized cost)
Ac=Pm(A/P,i,n)=-36264.97(A/P,0.08,4)=-36264.97(.08*(1.08^4)/(1.08^4-1)
=-10949.15
Expected year-end cash flow = annualized return - annualized cost =>
12000=return - 10949.15
(b) Internal rate of return of machine
=return/cost - 1
=(12000-(-10949.15)/10949.15-1
=2.096-1
=1.096
=109.6%
