Determine the type of mathematical model.
f(x) = ln 7x
f(x) = 4560(1.23)x
For the given function
Find f(4),f(–2), f(5/6), f(–0.7).
Graph
Find the asymptotes, y–intercept, and point of maximum growth.
Find the asymptotes, y–intercept, and point of maximum growth:
Solve for x:
One thousand dollars is invested at 12%interest annually. Determine how much the investment is worth after a year.
One thousand two hundred dollars is invested at 13% interest quarterly. Determine how much the investment is worth after a year.
The value of a new $15,000 vehicle decreases at 20% per year. Find its value after a year.
A certain population of bacteria doubles every 4 weeks. The number of bacteria in the population is now N0. Find its size in 10 weeks.
A gold chain appreciated in value from $125 to $278 in 7 years. Calculate the average annual rate of appreciation?
A new car that cost $15,000 decreased in value to $3000 in 6 years. Find the average annual rate of depreciation.
Determine whether investing $6000 at 6% annual interest and $6000 at 8% annual interest is equivalent to investing $12000 (the total of the two principals) at 7% annual interest (the average of the two interest rates). Explain.
One hundred thousand dollars is invested at 6.8% interest. Find the value of the investment after one year
(a) if the interest is compounded quarterly,
(b) if the interest is compounded daily, and
(c) if the interest is compounded hourly.
Cesium 137 (137Cs) has a half life period of 30 years. If 100% of Cesium is present initially, form a table of values showing the amount of Cesium present after 1, 2, 3, 4 and 5 half–life periods. Also write a formula for the amount A of 137Cs left after x half–life periods.
The sales of cassette players in a country is given by model,
, where t = 0 represents 1992. Check whether the sales have increased or decreased after 1992. Also find the sales in 2004.
