<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
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Answer:
1 hour and 53 minutes
Step-by-step explanation:
Your welcome
(4x)(-3x^8)(-7x^3)
4 (-3)(-7) = 84
x(-x^8)(-x^3) = x^(1 + 8 + 3) = x^12
Answer: 84x^12
Answer:
the answer is 3
Step-by-step explanation: the third one is the answer
Plot each of the points onto that graph given. See the attached image.
Based on the attached image I've provided, we can see that:
* point A is not in the shaded region nor on the boundary
*
point B is on the boundary* point C is not in the shaded region nor on the boundary
* point D is not in the shaded region nor on the boundary
So this is why
choice B) (1,3) is the answerPoints on the boundary are allowed as the inequality sign has a "or equal to" portion