Solve the problem.A ladder is resting against a wall. The top of the ladder touches the wall at a height of 12 feet. Find the length of the ladder if the length is 4 feet more than its distance from the wall.

A. 12 feet
B. 16 feet
C. 20 feet
D. 24 feet


Answer: C

Mathematics

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Solve the problem.A patient takes 100 mg of medication every 24 hours. 80% of the medication in the blood is eliminated every 24 hours.a. Let dn equal the amount of medication (in mg) in the blood stream after n doses, where d1 = 100. Find a recurrence relation for dn.b. Show that  is monotonic and bounded, and therefore converges.c. Find the limit of the sequence. What is the physical meaning of this limit?

A. a. dn + 1 = 0.2dn + 100, d1 = 100  b. dn satisfies 0 ? dn ? 150 for n ? 1 and its terms are increasing in size. c. 150; in the long run there will be approximately 150 mg of medication in the blood. B. a. dn + 1 = 0.2dn + 100, d1 = 100  b. dn satisfies 0 ? dn ? 125 for n ? 1 and its terms are increasing in size.  c. 125; in the long run there will be approximately 125 mg of medication in the blood. C. a. dn + 1 = 0.8dn + 100, d1 = 100 b. dn satisfies 0 ? dn ? 150 for n ? 1 and its terms are increasing in size. c. 150; in the long run there will be approximately 150 mg of medication in the blood. D. a. dn + 1 = 0.8dn + 100, d1 = 100  b. dn satisfies 0 ? dn ? 125 for n ? 1 and its terms are increasing in size.  c. 125; in the long run there will be approximately 125 mg of medication in the blood.

Mathematics

In the following question(s), FN represents the Nth Fibonacci number.If F500 = a and F501 = b, then F499 =

A. a + b. B. 2a - b. C. b - a. D. a + 2a. E. none of these

Mathematics

Determine whether or not the equation is linear.5x - 6x = 0

A. Linear B. Not linear

Mathematics

Solve the problem.The future value of a simple interest investment is given by S = P(1 + rt), where P is the principal invested at a simple interest rate r for t years. What principal P must be invested for  at the simple interest rate  so that the future value grows to $3600.

A. $3503.65 B. $3472.67 C. $127.33 D. $3243.24

Mathematics