collin0123
16.10.2020 •
Mathematics
Diana is buying plates and cups for a party. She wants the same number of each. Plates are sold in packs of eight and cups are sold in packs of 12. What is the least number of plates and cups she can buy? How many packs of plates? How many packs of cups? Explain how you know.
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Ответ:
What is the least number of plates and cups she can buy?
The least number of cups of plates and cups she can buy is 24
How many packs of plates?
3 packs of plates
How many packs of cups?
2 packs of cups
Step-by-step explanation:
What is the least number of plates and cups she can buy?
We solve this using the Lowest Common Multiple method
The L.C.M of 8 and 12
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 12: 12, 24, 36, 48
Therefore,
LCM(8, 12) = 24
Hence, the least number of cups and plates she can buy is 24
How many packs of plates?
Plates are sold in packs of eight
Hence: 24 ÷ 8 = 3 packs of plates
How many packs of cups?
Cups are sold in packs of 12
Hence: 24 ÷ 12 = 2 packs of cups
Ответ:
the present value of the lease obligation for lease A will be $1,702,712.74 while the present value of lease B will be $1,764,741.73
Step-by-step explanation:
the present value of annual lease payment will be determined by discounting the total amount to be received from lease payment over years.
for lease A , Pv = A
= $200,000( 1 - (1+0.1)
) / 0.1 = $1,702,712.74
for lease B , Pv = $220,000( 1 - (1+0.1)
) / 0.1 = $1,764,741.73
the amount to be dicloased in the balance sheet at 31 december, 2018