A computer purchased for \( \$ 1,400 \) loses \( 17 \% \) of its value every year. The computer's value can be modeled by the function \( v(t)=a \cdot b^{t} \), where \( v \) is the dollar value and \( t \) the number of years since purchase. (A) Give the function that models the decrease in value of the computer: \( v(t)= \) \( 1400 \cdot(0.83)^{t} \) (B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. 4.3 years

Evaluate the function at the given values of \( x \). Round to 4 decimal places, if necessary. \[ g(x)=9^{x} \] Part: \( 0 / 4 \) Part 1 of 4 \( g(-3)=\square \)

7. Исследуйте но чётность и нечетность функции а) \( \mathrm{y}=4 \mathrm{x}-2 \mathrm{x}^{3}+6 \mathrm{x}^{5} \quad \); б) \( f(x)=\frac{5}{x^{4}+4 x^{2}} \)

Simplify the expression without using a calculator. \( \log _{2} 64= \)

10. I en skål med 200 vindruvor är \( 90 \% \) gröna och resten blåa. Rickard äter enbart gröna vindruvor. Hur många vindruvor har Rickard ätit när andelen gröna vindruvor har minskat till \( 80 \% \) ?

Write the equation in exponential form. \[ \ln 1=0 \] The equation in exponential form is \( \square . ~ \)