Analyze the following statement: An ecosystem is like a fine-tuned car.

(a) List three density-dependent factors and three density-independent factors that can influence the population size of white-tailed deer. (b) Describe two ways that deer populations at low abundance can accelerate the process of ecological succession in a forest toward a climax stage. (c) Consider a region of temperate forest that contains 100,000 deer with a sex ratio of 3 females to 1 male, an infant mortality rate of 10, a crude birth rate of 40, and a crude death rate of 20. Only 10 percent of the females are able to reproduce. (i) Calculate population growth rate for white-tailed deer in this region. (ii) Calculate the number of deer that hunters would need to shoot in order to keep the deer population stable.

The Fort House Tea Room borrowed $17,500 for renovations at a simple interest rate of 6.85% for 4 years. The interest is to be paid annually. Find the amount of each annual interest payment.

A family wants to save for college tuition for their daughter. What continuous yearly interest rate r% is needed in their savings account if their deposits of $4800 per year are to grow to$100,000 in 15 years? Assume that they make deposits continuously throughout the year.

When a transverse wave travels through a medium, which way does matter in the medium move? A. backward B. all directions C. at right angles to the direction the wave travels D. in the same direction the wave travels

Solve each system.

$$\begin{cases} y = -x^2 - 3x - 2 \\ y = x^2 + 3x + 2 \end{cases}$$

Translate the equation into a sentence. 18 - 5h = 13h

Explain how you can use the property for dividing powers with the same base to justify the definition of a zero exponent.

A large solar panel on a spacecraft in Earth orbit produces 1.0 kW of power when the panel is turned toward the sun. What power would the solar cell produce if the spacecraft were in orbit around Saturn, 9.5 times as far from the sun?

Let $\Sigma=\{a, b, c\}.$ Determine the smallest number of words one must select from $\Sigma 4$ to guarantee that at least two of the words start and end with the same letter.

A frequency table or line plot may allow you to readily "see" the mode and find the median. Find the mode and the medium for the data set in each exercise. 25 29 28 28 30 25 26 28 27 29 26 30

Describe how facilitated diffusion is achieved for: (a) Small polar molecules and ions: _____ (b) Glucose: _____

Evalaute. $8^{\log _{8} 2}$

Describe how Latin American countries have approached the transition to capitalism.