<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>
Answer:
Step-by-step explanation:
Hey there!
To find the area, we multiply the length by the width! The carpet will cover the area of the room.
24×15=360
But, the carpeting is sold in square yards, not feet. There are three feet in a yard, which means that one yard is 1/3 feet. Since we have 360 square feet, we will divide it by three to get yards.
360/3=120
Therefore, the office would need 120 square yards of carpeting.
Have a wonderful day!
Answer:
7.8
Step-by-step explanation:
distance formula : 
where the x and y values are derived from the given points
here the given points are (11,3) and (6,9)
<u>assigning variables</u>
(x1,y1) = (11,3) so x1 = 11 and y1 = 3
(x2,y2) = (6,9) so x2 = 6 and y2 = 9
<u>plugging in values into formula</u>
recall formula
==> plug in x1 = 11 , y1 = 3 , x2 = 6 and y2 = 9
==> subtract values in parenthesis
==> evaluate exponents
==> add 25 and 36
( approximately )
Answer:
1/3 or 33.3
Step-by-step explanation:
22 is 1/3 of 66 which is all the marbles.
