A roof has a 0.4-inch layer of ice on it from a previous storm. Another ice storm begins to deposit ice at a rate of 0.26 inches per hour.
a) Find a formula for a linear function f that models the thickness of the ice on the roof x hours after the second ice storm started.
b) How thick is the ice after 3.5 hours?
a)
b) The ice is ___ inches thick after 3.5 hours.
In macroeconomic theory, total consumption expenditure on goods and services, C, is assume to be a linear function of national income, I. The table gives the values of C and I for 2004 and 2009 in country A(in billions of dollars).
a. Find the formula for C as a function of 1.
b. The slope of the linear function is called the marginal propensity to consume. What is the marginal propensity to consume for country A from 2004-2009?
a. FInd the formula for C as a function of I.
A pendulum's initial swing is 80 cm, 76cm on its second swing, 72.2cm on its third swing, and 68.59cm on its fourth swing. Complete parts a and b below.
a. What precise formula can be applied to determine the length of the n-th swing if the pattern persists?
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
b. Use your formula to find the distance of the 10-th swing.
(Type an integer or decimal rounded to two decimal places as needed.)
The function that converts the dollars of Country A to the dollars of Country B according to January 13, 2008, values is
a. Find the inverse function for f.
(Simplify your answer. Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)
Given that a stone is thrown into a pond, creating a circular ripple that spreads over the pond in such a way that the radius is increasing at a rate of 3.4 ft/sec.
Complete parts a through c.
a) Find a function for the radius in terms of t.
(Use integers or decimals for any numbers in the expression.)
Write and algebraic equation for the following problem and then solve it.
Creekside dormitory just purchased a new sofa on sale $456. The sale price was
Let
.___
(Use integers or decimals for any numbers in the expression.)
The original price was $___.
(Simplify your answer.)
The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following.
a) Compute E(X). (Enter your answer to two decimal places.) GB
b) Compute V(X) directly from the definition. (Enter your answer to four decimal places.)
c) Compute the standard deviation of X. (Round your answer to three decimal places.) GB
d) Compute V(X) using the shortcut formula. (Enter your answer to four decimal places.)
The results of a survey of 39 students and the foreign language they are studying are shown in the two-way frequency table.
What fraction of girls are studying French? Use decimals to answer, and round to 3 places.
The fraction of girls that are studying French is ______.
One way to find the formula of a line passing through (15,16) and (30,25) is by using a table, as shown below. Complete parts (a) and (b) below.
a) Complete the box in the first row.
b) Report the formula of the line in slope-intercept form.
The future value $5000 invested for 3 years at a rate r compounded annually is given by
a) Complete the table below to determine the future value of $5000 at certain interest rates.
(Type integers or decimal rounded to the nearest hundredth.)
Some of you may remember solving equations with decimals by looking back at the school years, yet it is also easy to get lost in this seemingly simple pre-algebra field. If working with decimals sounds too complex to you or you require a reminder, have a look at the list of decimals questions and answers below to see how it is done.
At the same time, if you are still not sure about finding the right solution, start with the high school Math and see more than one solution as you seek similarities.