Topic
Q:
\( 153^{\circ}=\square \) radians
Q:
21. If a pane of glass absorbs \( 10 \% \) of the light passing through it, then the
percent \( P \) of light that passes through \( n \) successive panes is given by the
approximation \( P(n)=100 e^{-1 / n} \). How many panes of glass are required to block at
least \( 60 \% \) of the light?
Q:
20. Salt decomposes in water according to the law of uninhibited decay. If the
initial amount of salt is 40 kg , and after 8 hours 27 kg of salt is left, how much of
the salt will be left after one day?
Q:
13. If \( \log _{c} 3 \approx 2.311 \), approximate \( \log _{c} 81 \)
Q:
Two laptops are available for purchase. The cost of the silver laptop can be
modeled with the function \( f(t)=3,000(0.85)^{t} \), and the cost of the black
laptop can be modeled with the function \( g(t)=3,500(0.7)^{t} \), where \( t \) is the tim
in years. Your parents will help you buy the less expensive laptop, but you must
choose within the next 2 years.
Which statement below best represents the outcome?
- You buy the silver laptop.
- You buy the black laptop.
- Both laptops cost the same amount.
Q:
Example 1:
You are considering two used phones for purchase. The cost of the first phone can
be modeled with the function \( f(t)=1,500(0.8)^{t} \), and the cost of the second
phone can be modeled with the function \( g(t)=2,000(0.6)^{t} \), where \( t \) is the time
in years. Your budget is limited, and you plan to buy the less expensive phone in
the next 3 years.
Which statement below best represents the outcome?
- You buy the first phone.
- You buy the second phone.
- Both phones cost the same amount.
Q:
19. Under ideal conditions, a population of rabbits has an exponential growth
rate of \( 11.7 \% \) per day. Consider an initial population of 100 rabbits. How long
before we have 500?
Q:
7. The number of pages in the IRS Tax Code has followed the function
\( T(n)=400(1.055)^{n} \), where \( n \) is the number of years since 1913. Based on this,
predict the number of pages in the tax code in 2015 .
Q:
63-68 - Encuentre el dominio de la función.
.63. \( f(x)=\log _{10}(x+3) \)
65. \( g(x)=\log _{3}\left(x^{2}-1\right) \)
67. \( h(x)=\ln x+\ln (2-x) \)
Q:
53-62 - Grafique la función, no al localizar puntos sino empezando
de las gráficas de las Figuras 4 y 9. Exprese el dominio, rango y
asintota.
59. \( y=1-\log _{10} x \)
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