1/6 is already a fraction you can't reduce it anymore
Step-by-step explanation:
(3 × 10) × 8 = 3 × (10 × 8)
It's an Associative Property of addition:
<em>(a + b) + c = a + (b + c)</em>
<em></em>
Check it:
Left side: (3 × 10) × 8 = 30 × 8 = 240
Right side: 3 × (10 × 8) = 3 × 80 = 240
CORRECT
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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$3.15
11 quarters = $2.75
4 dimes = $0.40
$0.40+$2.75=$3.15