Answer:
Step-by-step explanation:
The average value theorem sets:
if f (x) is continuous in [a, b] and derivable in (a, b) there is a c Є (a, b) such that
, where
f(a)=f(π/2)=-4*sin(π/2) = -4*1= -4
f(b)=(3π/2)=-4*sin(3π/2) = -4*-1 = 4
⇒
c≅130
If x= 2 and 2 = a, which of the following statements is true according to the
1 answer:
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Answer:
It will take approximately 25 months
Step-by-step explanation:
The amount owed on the credit card statement, P = $2,000
The interest rate of the credit on the credit card, r = 18.9%
The minimum monthly payment made, M = $100
The equal monthly installment formula is given as follows;
Therefore, we get;
100×1.01575ⁿ - 100 = 31.50×1.01575ⁿ
100×1.01575ⁿ - 31.50×1.01575ⁿ = 100
68.5×1.01575ⁿ = 100
1.01575ⁿ = 100/68.5
n = ln(100/68.5)/ln(1.01575) ≈ 24.21 (which is approximately 25 months, by rounding up to the nearest whole number)
Therefore, it will take approximately 25 months to pay off the credit card debt