<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: Mean: 17.14 Range: 20.
Step-by-step explanation: 12+13+13+15+16+19+32 25+13+15+16+19+32 38+15+16+19+32 53+16+19+32 69+19+32 88+32 120/7 17.14
32-12 20
Answer:
Area = pi x radius squared
the radius is 2.39 so that's squared that is 5.7121pi
Step-by-step explanation:
A) I use x=-5; f(x)=-11 and x=-4; f(x)=-3. We get the range = -3-(-11)=8b)I use x=-5; f(x)=-11 and x=-3; f(x)=5. We get the range = 5-(-11)=16c)I use x=-5; f(x)=-11 and x=-2; f(x)=13. We get the range = 13-(-11)=24d) Range of input is equal with the ratios of the output. You can find the pattern of output above 8,16,and 24 can divided by 8 and give the result 1,2 and 3
Is that good for you?
Good Luck!
<3
Answer:
(-4,8)
Step-by-step explanation:
so f(-4)=8 this is easy
the -4 is the x
beause f(x)=y
so the 8 is the y
when y is f(-4)=8 then the cordinate points are (-4,8)