In an installment loan, a lender loans a borrower a principal amount P, on which the borrower will pay a yearly interest rate of i (as a fraction, e.g. a rate of 6% would correspond to i=0.06) for n years. The borrower pays a fixed amount M to the lender q times per year. At the end of the n years, the last payment by the borrower pays off the loan.
After k payments, the amount A still owed is
<span>A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i,
= (P-Mq/i)(1+[i/q])k + Mq/i.
</span>The amount of the fixed payment is determined by<span>M = Pi/[q(1-[1+(i/q)]-nq)].
</span>The amount of principal that can be paid off in n years is<span>P = M(1-[1+(i/q)]-nq)q/i.
</span>The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]).
The total amount paid by the borrower is Mnq, and the total amount of interest paid is<span>I = Mnq - P.</span>
Answer: 19 days
Step-by-step explanation:
305-115=190
190 divided by 10= 19
50% because when you take out the first marble witch is probably blue since there are more blue you would have 2 blue and 2 green so the chance would be 50%
Answer:
See below in bold.
Step-by-step explanation:
You work in fractions of the city streets done per hour:
1/200 + 1/400 = 1 /x where x is the number of hours taken by 2 teams.
Multiply through by the LCM 400x:
2x + x = 400
3x = 400
x = 133.33 hours.
As there are 168 hours in a week they will have enough time.
The volume of a cylinder is 
- r is the radius (half of the diameter which is 34m) --> 17m
- height: 27m
: 3.14
Thus the volume = 
Hope that helped!
