Your uncle purchases a new car for $22,499. The value of the car decreases by 11% each year.

Write the exponential equation that models the car's value after t years.

Cameron Greer
2022-10-19

Your uncle purchases a new car for $22,499. The value of the car decreases by 11% each year.

Write the exponential equation that models the car's value after t years.

You can still ask an expert for help

asked 2022-06-07

asked 2022-09-04

Show that if $\xi $ is a random variable in ${L}^{2}(F)$ and G is a $\sigma $ -field contained in F, then $E(\xi |G)$ is the orthogonal projection of $\xi $ onto the subspace ${L}^{2}(G)$ in ${L}^{2}(F)$ consisting of G-measurable random variables.

asked 2022-08-16

asked 2021-08-10

The popularity of fads and fashions often decays exponentially. One example is ticket sales for a popular movie. The table shows the total money spent per weekend on tickets in the United States and Canada for the movie The Da Vinci Code.

a) Use a graphing calculator to create a scatter plot of the data.

b) Draw a quadratic curve of best fit. - Press STAT, cursor over to display the CALC menu, and select 5:QuadReg. - Press VARS, and cursor over to display the Y-VARS menu. Select 1:Function and then select 1:Y1. - Press ENTER to get the QuadReg screen, and press GRAPH.

c) Draw an exponential curve of best fit. - Press STAT, cursor over to display the CALC menu, and select 0:ExpReg. - Press VARS, and cursor over to display the Y-VARS menu. Select 1:Function and then select 2:Y2. - Press ENTER to get the ExpReg screen, and press GRAPH.

d) Examine the two curves. Which curve of best fit best models the data?

asked 2022-09-06

The exact $(1-\alpha )$ level confidence interval lower limit is given by

$$\sum _{k=y}^{n}{\textstyle (}\genfrac{}{}{0ex}{}{n}{k}{\textstyle )}{{p}_{L}}^{k}(1-{p}_{L}{)}^{n-k}=\alpha /2$$

and the upper limit analogously. Why does the resulting C.I. has greater coverage than the nominal $(1-\alpha )$ ? I thought that the above equation has a valid solution for ${p}_{L}$ at any $\alpha $ and so should provide the correct coverage.

$$\sum _{k=y}^{n}{\textstyle (}\genfrac{}{}{0ex}{}{n}{k}{\textstyle )}{{p}_{L}}^{k}(1-{p}_{L}{)}^{n-k}=\alpha /2$$

and the upper limit analogously. Why does the resulting C.I. has greater coverage than the nominal $(1-\alpha )$ ? I thought that the above equation has a valid solution for ${p}_{L}$ at any $\alpha $ and so should provide the correct coverage.

asked 2022-08-20

Sand falls from a conveyor belt at the rate of $10\frac{{m}^{3}}{min}$ onto the top of s conical pile. The height of the pile is always three-eighths of the base diameter. How fast is the radius changing when the pile is 4 m high? Give your answer in cm/min,

asked 2022-06-05

Sinh 3tcos^2t