Answer:
I SUCK AT WORD PROBLEMS TOOOO LOL
Step-by-step explanation:
The small cup is the better deal, with the medium you get 4 more ounces but pay 15 cents an ounce with the small you pay 14 cents an ounce.
Cos m = .4685
cos^-1(.4685) = 62 degrees
angle L = 180-90-62 = 28 degrees
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:
26 mi
Step-by-step explanation:
Convert 20 min to hrs: 20/60 = 1/3 hr
:
Let t = time on the bike
then
t-(1/3) = time on the bus
:
Write a dist equation Dist = speed * time:
:
Bike dist + bus dist = 26 mi
6t + 30[t-(1/3)] = 26
:
6t + 30t - 10 = 26
36t = 26 + 10
36t = 36
t = 1 hr on the bike
:
6 mph for 1 h = 6 mi from house to the bus station
:
:
Check solution by finding the distance
6(1) + 30(2/3) =
6 + 20 = 26 mi
