The depreciation of a technology asset is given by: \[ A(t)=\frac{120000}{e^{0.05 t}} \] where \( t \) is the number of years since 2021 . a. Calculate the asset value when \( t=6 \). b. Graph the asset value equation for \( 0 \leq t \leq 20 \). c. From the graph, estimate the asset value in: i. 2021 . ii. 2027 . d. In what year will the asset value fall below \( \mathrm{P} 60,000 \) ?

\( +\frac{2}{8}=\frac{\alpha}{8}+\frac{2}{8}=\frac{-}{8} \) diferencia de \( 34-40 \mathrm{es} \)

ESTION 12 NOV 13 muD sider the solid hemisphere helow. It has a radi Volume \( \begin{array}{ll}\text { 5uriace area of the solid. } \\ 3 \text { If the radius is doubled, what would be t } \\ \text { of the volume of the original sphere to }\end{array} \)

Solve for \( x \) \[ 228=5-x \]

HALLAR EL DOMINIO, LOS INTERVALOS DE CRECIMIENTO Y DECRECIMIENTO, LOS EXTREMOS LOCALES Y EL VALOR DE LA FUNCIÓN EN LOS MISMOS. DETERMINAR LAS ASINTOTAS Y HACER UNGRAFICO \( F(x)=\frac{-3 x}{x^{2}+4} \quad F(x)=\frac{8-3 x}{x^{2}-2 x} \)

Factor if possible. Check the answer by multiplying. \( y^{2}+49 \)