f(x) is concave down on an interval I if all of the tangents to the curve on I are above the graph of f(x)
Answer:
(5, 10) 1st quadrant
Step-by-step explanation:
You didn't specify the periodic payment in your question. I will solve it assuming that payment is made monthly.
Amount owing by Tom = 70% of 139,000 = 0.7 x 139,000 = $97,300
Present Value of an annuity is given by PV = P(1 - (1 + r)^-n)/r; where P is the periodic (monthly) payment, r is the interest rate = 12%/12 = 1% = 0.01, n is the number of periods = 25 x 12 = 300 months.
97,300 = P(1 - (1 + 0.01)^-300)/0.01
P = 973/(1 - (1.01)^-300) = 973/(1 - 0.050534) = 1,024.79
Thus Tom pays $1,024.79 per month.
Interest due for the first month = 0.01 x 97,300 = $973
Therefore, the portion of the first payment that covers the interest is $973
Answer:
x ≥-10
Step-by-step explanation:
–2.5x ≤ 25
Divide each side by -2.5, remembering to flip the inequality
–2.5x/-2.5 ≥ 25 /-2.5
x ≥-10
