Answer:
Step-by-step explanation:
8/15 + 2/5 = 8/15 + 6/15 + 14/15
The preferred gig is the first one since its today's worth is greater than the today's value of the second gig
What is the today's worth of $5000 each year?
The worth of the second gig, which pays $5000 every year for the next 6 years in today's dollar is the present value of all the six annual cash flows discounted using the present value formula of an ordinary annuity as shown below:
PV=PMT*(1-(1+r)^-N/r
PV=present value of annual payments for 6 years=unknown
PMT=annual payment=$5000
r=required return=discount rate=8%
N=number of annual cash flows=6
PV=$5000*(1-(1+8%)^-6/8%
PV=$5000*(1-(1.08)^-6/0.08
PV=$5000*(1-0.630169626883105)/0.08
PV=$5000*0.369830373116895
/0.08
PV=$23,114.40
The fact that the present value of the second option which pays $5000 annually is lesser than the amount receivable immediately, which is $25,000, hence, the first gig is preferred
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Answer:
Step-by-step explanation:
So you convert 2 1/5 to 2 2/10 and you convert 3 1/2 to 3 5/10 so that it can have the same denominator. Then you change 2 2/10 to a decimal which will be 2.2 and you change 3 5/10 to a decimal which will be 5.5. Then you multiply 2.2 by 3.5 and get 7.7. Don’t forget about the 6. You multiply 7.7 by 6 and get 46.2.
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Well, there is one for you, the. there is your five friends which both recieve one. if you don't want to give one to yourself and just ur friends you divide 6 and 5 they all would get 1.2
Problem 1
1 ft = 12 inches
2 ft = 24 inches (multiply both sides by 2)
Multiply by 1/3 to get (1/3)*24 = 24/3 = 8
<h3>Answer: 8 inches</h3>
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Problem 2
1 yard = 3 feet
3 yards = 9 feet (multiply both sides by 3)
1 ft = 12 inches
9 ft = 108 inches (multiply both sides by 9)
so overall, 3 yards = 108 inches
Multiply this by 1/6
(1/6)*(108 inches) = 108/6 = 18 inches
<h3>Answer: 18 inches</h3>
note: 18 inches = 12 inches + 6 inches = 1 ft, 6 inches = 1.5 ft
