Answer: C. She is dividing the entire length into shorter lengths.
The rest of the question would be "How many pieces will she get?"
Step-by-step explanation:
A would be a subtraction problem UNLESS it goes on to ask "how many 1/3 yard pieces can she cut?"
It's a subtraction problem if it's about "how many yards are left?"
B is just backwards and makes no sense with the expression given.
A≈8
V Volume
Using the formula
V=a3
Solving fora
a=V⅓=512⅓≈8
Therefore, to find the lenght of an edge of the cube, just find the cube root of the volume. In this case, the cube root of 512 is equal to 8.
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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