Answer:
$395.83
Step-by-step explanation:
to solve, we first need to subtract what we already have, first the scholarship, wich is a set amount being taken from the original amount
12'000 - 2'500 = 9'500
now we have the second subtracting factor, but this one isn't set in stone and defined, it is half of the amount his parents will pay, so what we can do is divide what we have by two, wich will give us 2 halves
9'500 / 2 = 4'750
now all we have to do is divide again but this time for each month that Daniel needs to save up in, in this case 12
4'750 / 12 = 395.83 (note1)
and there we have it, that is the minimum amount Daniel would save each month
note1: (3 goes on for infinity, usualy this is represented by a line above the repeating number, this is the case of a repeating decimal)
The effective rate is calculated in the following way:
where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
So we have lengths a and b and are given:
2a+2b = 66 => a+b = 33 => a= 33-b
a*b = 272
plug in one into the other:
(33-b)b = 272 => -b^2 +33b - 272 = 0
Can be factored as (b-16)(b-17) = 0, if you don't "see" this immediately, use the well known abc formula to find b.
So a=16 and b=17 or vice versa.
Answer: The answer is A
Step-by-step explanation: 4c+6a<120 and 4c+4a<100
