Monthly interest, i = APR/12 = 0.06/12 = 0.005
Monthly payment, A = $450
Period, n = 36 (months)
Future value of payment
= A((1+i)^n-1)/i
= 450((1.005^36-1)/0.005
= 17701.2472341
Future value of car
F = future value of payment + residual value
= 17701.2472341 + 20000
= 37701.2472341
Present value of car
= downpayment + present value of future payments
= 1500 + F/(1+i)^36
= 1500 + 37701.2472341/(1.005^36)
= 1500 + 31504.86
= 33004.86
Answer:
2x - 1 = -45.
Step-by-step explanation:
2x - 1 = -45 is the required equation.
x is the number.
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
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Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Answer:
0.333333333
Step-by-step explanation: its goes on forever never stopping
Start with
We observe that both fractions are not defined if . So, we will assume .
We multiply both numerator and denominator of the first fraction by 3 and we sum the two fractions:
We multiply both sides by :
We move everything to one side and solve the quadratic equation:
We check the solution:
which is true