<span>B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan.
We require B(n) = 0...i.e. balance of 0 after n months.
so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1]
Then, with some algebraic juggling we get:
n = -[log(1 - (Ai/P)]/log(1 + i)
Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43
Also, i = (13.6/100)/12 => 0.136/12 per month
i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12)
so, n = 4.15 months...i.e. 4 payments + remainder
b) Now we have A = $754.43 - $300 = $454.43 so,
n = -[log(1 - (454.43)(0.136/12)/300)]/log(1 + 0.136/12)
so, n = 1.54 months...i.e. 1 payment + remainder
</span>
First make this:
x/90= 40/100 (percent)
Then cross multiply...(Don't know how to explain so search it up)
90x40= 3600
...then divide (by the remaining number)
3600/100=36 left handed players
the employee earned $1813 from Nachos
Explanation:
The theater's popcorn sales is inversely proportional to nacho sales
Let theater's popcorn = P
nacho sales = N
Equating the relationship:
when theater sales = $2,254
Nacho sales = $1,628
The relationship becomes:
When cost of the theater popcorn = $2,024
The cost from nachos = ?
We would use the relationship to get the above:
Hence, the employee earned $1813 from Nachos
Answer:
c. start fraction 5 over 6 end fraction
Step-by-step explanation:
there are six numbers on a cube
1, 2, 3, 4, 5, 6
there are 5 other numbers other than 6
5/6
5 = other than 6
6 = total numbers