<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:
108x + 29
—————
180
Step-by-step explanation:
16 pieces may be cut. This is because we need to divide 36 by 2 and 1/4 to find how many pieces hat can be cut. First, we need to change everything into a fraction (or improper fraction). 2 and 1/4 = 9/4 (if you need help trying to find out how to get this, just ask). Then, since we are doing division, we flip the 9/4 around to get 4/9. 36 times (it's not dividing anymore since we flipped the 9/4) 4/9 = 16 pieces. I hope this helps! :D
I used a calculator and it said the answer is 430858661.
The only way I know how to do this sort of long sum is with a calculator....
All you need to do is input 43789 * 9 + 138 * 12 - 1345 + 124556 x 3456 - 1287 and you will get the answer. Converted the words into the numerical symbols like times to *
If you want it to be more readable add commas so it's 430,858,661. You do it every 3 numbers.
You'll want to do it the right order of operations since not all calculators do this automatically and it's a good habit >_>, using an acronym like BIDMAS (using the brit acronym lol) is a good way to remember this (<span>Brackets, Indices, Division, Multiplication, Addition, Subtraction)
So you'll need to do the multiplication first and then the addition and then the subtraction so this is the correct order. You want to use the brackets so it does it in the right order.
(43 789 * 9) + (138 * 12) - 1345 + (124 556 x 3456) - 1287</span>
divide the frequency of 6 by the total frequency to obtain a probability
(also 15%)
