<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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75/60 = 15/12 = 5/4. This is the lowest term
Answer:
C. All of the data values are identical.
Step-by-step explanation:
If the standard deviation for a set of data is 0, then all of the data values are identical.
When a standard deviation is 0, then the variance is also 0 and the mean of the deviation that is squared is also 0, thereby making all the values identical to the mean, that is 0.
Answer:
134/25
Step-by-step explanation:
5 9/25 > 5 * 25 = 125 + 9 = 134. > 134/25
Answer:
2x+y=5.
Step-by-step explanation:
slope(m)=-2
passed through point (0,5)=(x1,y1)
then
the equation is
(y-y1)=m(x-x1)
or (y-5)=-2(x-0)
or (y-5)=-2x
or 2x+y=5 is the equation.
