Solve the problem.Find the half-life of the radioactive element radium, assuming that its decay constant is  with time measured in years.

A. 2308 years
B. 1400 years
C. 800 years
D. 1600 years


Answer: D

Mathematics

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Solve the inequality. Write the solution set in interval notation and graph it.(x + 5) > (x + 5)

A. (-?, 5)

B. (-?, -5)

C. (5, ?)

D. (-5, ?)

Mathematics

Add or subtract. Simplify by collecting like radical terms, if possible.-2 - 4 + 3

A. 138
B. -2
C. -138
D. -22

Mathematics

Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r.Find a10 when a1 = 4, r = -3.

A. -78,732 B. -23 C. 236,196 D. -78,728

Mathematics

A residential building contractor borrowed $29,000 to complete a new home. Some of the money was borrowed at 4%, some at 6%, and some at 7%. How much was borrowed at each rate if the annual interest owed was $1,580 and the amount borrowed at 6% is two times more than the amount borrowed at 7%?

A. $11,000 at 4%; $12,000 at 6%; $6,000 at 7% B. $9,000 at 4%; $14,000 at 6%; $6,000 at 7% C. $9,000 at 4%; $13,000 at 6%; $7,000 at 7% D. $10,000 at 4%; $10,000 at 6%; $8,000 at 7% E. $10,000 at 4%; $14,000 at 6%; $7,000 at 7%

Mathematics