Question

8) 2log3(7x + 4) = 4 A) 0.286 B) 0.001 9 -0,481 D) 0.714 9) An initial investment of $1000 is appreciated for 7 years in an account that earns 6% interest, compounded annually. Find the amount of money in the account at the end of the period. A) $503.63 B) $1418.52 $1503.63 D) $1593.85 10) How long will it take for $900 to grow to $30,100 at an interest rate of 3.9% if the interest is compounded continuously? Round the number of years to the nearest hundredth. A) 90 years B) 9 years 9.00 years D) 8999.71 years 11) In the formula A = lekt, A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a certain site. If it has 77% of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.) (Round to the nearest year.) A) 1840 years B) 2091 years C) 908 years D) 6160 years

Answer 1

8) 9 (Саз ста+4) = 4 1983 Cta +4) – 9 13+4 – 3-я 11 = 3 - 5 - (о-піч) [D) аP. 1000 Е- Т ъ - БІ. = 0. G6 м= | A= Plito get = 1000 (to .obj (7) А-3 (15оз. 3) C) 10. Р- ЧОО A = 1300 Т = 3.9. = 0. 039 compounded continuously Aapeot 1300 - 900 e0.0395 Q-o39= ln (3) t: 9:42 c) 9:00 Pass 19) - 8e4u ela) - -gl4e4a) - - 39e4x D) 13) Ra) - Ima) ella) - lumаsi - 1 Lva 6 в а 14) Штаб 8 ple). - 8 ures 3-1, Plla) — 8 a linasa

A 15. fla) = (2-3)5 fila) = 567a-336-67 = 35 (7a-334 16. eta fila) = ē 44 l-4)=-4848 D Ho a4e4a Ella)= a4 d (142) + ehad het (24) = 24.4842 +€42.403 = 042 [4a4+423) B