x+6=x What is X. And what are the steps u use to solve it and will you explain what u did for me. Thanks hopefully someone does
2 answers:
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Answer:
(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.
Step-by-step explanation:
Given that all the boxes in a certain warehouse were arranged in stacks of 12 boxes each, with no boxes left over.
This implies that boxes are in multiples of 12
i.e. 12, or 24, or 36 or....
Let us say this as 12m for m an integer
Now additional boxes arrived =60
Total number of boxes now =
This when arranged in stacks of 14,nothing left out
Or this is multiple of 14
for some positive integer n.
By trial and error we find that if 60 is to be divided by 14, 24 should be added and 24 is a multiple of 12.
So we say originally 24 boxes were there now 84 boxes there.
Hence both options are right.
(1) There were fewer than 110 boxes in the warehouse before the 60 additional boxes arrived. (2) There were fewer than 120 boxes in the warehouse after the 60 additional boxes arrived.
Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81
Future value of loan after 16 years
[compound interest formula]
Future value of payments after 16 years
Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20
Note: the exact monthly payment for a 25-year mortgage is
Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.
So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.
The closest choice is therefore <span>$72,449.19</span>
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81
Future value of loan after 16 years
Future value of payments after 16 years
Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20
Note: the exact monthly payment for a 25-year mortgage is
Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.
So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.
The closest choice is therefore <span>$72,449.19</span>