Use the actuarial method to find the amount of unearned interest for the loan paid in full before the due date. Regular monthly payment: $425.51 APR: 6.0% Remaining Number of scheduled...

Use the actuarial method to find the amount of unearned interest for the loan paid in full before the due date. Regular monthly payment: $425.51 APR: 6.0% Remaining Number of scheduled...

The half life of a radioactive element is 23 days. How long until 21% of the initial amount remains? Include units in your answer?

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A certain species of birds was introduced in a certain county 25 years ago. The population doubles every 10 years, and now the population is 13,000. a) What was the initial size of the population...

After 3 days a sample of radon-222 has decayed to 58% of its original amount. a) What is the half life of radon-222? b) How long will it take the sample to decay to 20% of its original amount...

(i) If we call the first number x, and the second z, write an equation that relates these numbers. (ii) Use (i) to write an equation that gives the second in terms of the first. (iii)...

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.6 ft/s, how fast is the angle between the ladder and the ground changing when...

f(x)=3x2+x-10 I dont know what goes next after these two steps: 3(x2+1/3x+(1/6)2-1/36)-10 3((x+1/6)2-1/36)-10 ...

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A kite 100 ft above the ground moves horizontally at a speed of 14 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let...

Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices, with the metric being the Euclidean metric in Rn^2 when a matrix is identiﬁed with a long, n2...

Murphy’s Law says, ”If something can go wrong, it will.” Given our discussion of randomness, do you agree or disagree with this law? (Try to place it as a discussion of coincidence.)

If s(x) = vx for all x, and i = 0.05, show that Ax= 1/2.05 for all x. This is for a life contingencies class- dealing with Insurance benefits. Ax is the APV for whole life insurance,...

a. How much oil (in gallons) should be mixed with 7 gallons of gasoline? b. If 1 gallon equals 128 fluid ounces, write the answer in fluid ounces. Mix ______ gallons of oil with 7 gallons of gas (simplify...

Denoting, as usual, by (a, b) an ”open interval”, {x : a<x< b} and by [a, b] the corresponding ”closed interval”, {x : a≤x≤b} of real numbers, prove that sup(a, b)=sup[a, b]=b and inf(a, b)=inf[a,...

Kate is touring Vietnam for four days. The car rental is $38.15 per day plus 12½ cents per mile. If Kate drives 380.5 miles, how much does she owe the rental company? A. $152.60 B...

How many 500-page books can the tablet hold?

The manager of an e-learning company identified a new course that they could create and sell for $80 per student. The costs for adding this new course to their product offering would be: $2,200 per...

Suppose Juan and Pedro each throw a baseball into the air. The height of Juan’s baseball is given by h(t) = -16t2 +79t +6 , where h is in feet and t is in seconds. The height of Pedro’s baseball...

evaluate The Difference Quotient For The Given Function. Simplify Your Answer. f(x)=x^3, f(a+3)-f(a)/h