The population P (in thousands) of Austin, Texas, during a recent decade can be approximated by

$$y = 494.29 ( 1.03 ) ^ { t },$$

where t is the number of years since the beginning of the decade. a. Tell whether the model represents exponential growth or exponential decay. Identify the annual percent increase or decrease in population. c. Estimate when the population was about 590,000.

The population of Austin, Texas, was about 949,000 at the beginning of a decade. The population increased by about 3% each year. a. Write an exponential growth model that represents the population y (in thousands) t years after the beginning of the decade. Find and interpret the y-value when t=10. b. Estimate when population was about 590,000.

Use the given information to find the amount A in the account earning compound interest after 6 years when the principal is $3500. r = 2.29%, compounded monthly.

You deposit $5000 in an account that pays 2.25% annual interest. Find the balance after 5 years when the interest is compounded quarterly.

Biologists have discovered that the shoulder height h (in centimeters) of a male Asian elephant can be modeled by

$$h = 62.5 \sqrt [ 3 ] { 1 } + 75.8,$$

where t is the age (in years) of the elephant. Determine the age of an elephant with a shoulder height of 250 centimeters.

Water is boiled in a pan covered with a poorly fitting lid at a specified location. Heat is supplied to the pan by a 2-kW resistance heater. The amount of water in the pan is observed to decrease by 1.19 kg in 30 minutes. If it is estimated that 75 percent of electricity consumed by the heater is transferred to the water as heat, determine the local atmospheric pressure in that location.

Identify whether a debit or credit results in the indicated change for each of the following accounts.

a. To increase Land 
b. To decrease Cash 
c. To increase Fees Earned (Revenues)
d. To increase Salaries Expense
e. To decrease Unearned Revenue 
f. To decrease Prepaid Rent
g. To increase Notes Payable 
h. To decrease Accounts Receivable
i. To increase Common Stock
j. To increase Store Equipment

What causes a decrease in aggregate supply?

Suppose an observer triples her distance from a light source: (a) Does the illumination at that point increase or decrease? (b) In what proportion does the illumination increase or decrease?

The amount of solar heating can increase from:

A. a decrease in sunspot activity and energy output from the Sun

B. a decrease in snow and ice cover on Earth's surface

C. a decrease in the amount of greenhouse gases

D. a huge volcanic eruption that adds ash and dust to the atmosphere

Decrease 210 by a ratio of 3 : 7.

Due to inclement weather, the deliveries decreased by 22%. If there had been 150 deliveries before the decrease, how many were made after the decrease?

In acetic acid vapor, some molecules exist as monomers and some as dimers (see Figure 12-9). If the density of the vapor at $350 \mathrm{~K}$ and $1 \mathrm{~atm}$ is $3.23 \mathrm{~g} / \mathrm{L}$, what percentage of the molecules must exist as dimers? Would you expect this percent to increase or decrease with temperature?

Reduction may be described as a(n) $______$ of electrons or as a decrease in $_____$.