Chapter 0
-1.233330+4.25680=
2
A train ride is $3.42 per ride. A commuter can purchase an unlimited ride card for $68 per month. How many rides are required for a commuter to save money by buying the card?
20 Rides
Given an equation in the variables x and y, find the y-intercept by substituting _ for x and solving for_
0,Y
Scientist use a process called carbon-dating to estimate the age of archeological finds. The process measures the amount of carbon-14, a radioactive isotope with a half-life of 5730 years. if a sample of wood from an ancient artifact had 11 grams of carbon 14 initially, the amount remaining in grams is given by, A(T)= 11(1/2)t/5,730 where t is the number of years since the tree died, how many grams would be present after 5,730 years?
5.5 grams
Consider an experiment where a die is rolled that has 11 sides. The outcomes are numbers 1-11. Determine the probability a number greater than 7 is rolled.
P(Number>7) = 4/11
Exponents
163 + 1612 =
1615
V=1/3MT Solve for M
M=3V/T
Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months, can be approximated by the function F(X)= 1.9x+7.7. Find predicted weight at 2 months!
11.5 pounds
The population of bacteria culture was 2000 at noon, and increasing at a rate of 10%. Predict the population at 8PM, round to the nearest whole number
P(t)= 2000(1.1)8=4287
At a hospital specializing in treating heart disease, it was found that 384 out of 5197 patients undergoing open heart mitral valve surgery died during surgery or within 30 days after surgery. Determine the probability that a patient will not survive the surgery or 30 days after the surgery. This is called the mortality rate. Round to the nearest 3 decimal places.
.074 or 7.4%
(X5)12=
X60
In the mid-nineteenth century, explorers used the boiling point of water to estimate altitude. The boiling temperature of water in T (in OF) can be approximated by the model T= -1.83a+212 where a is altitude in thousands of feet. Determine the temperature at which water boils at an altitude of 15,000 ft. Round to nearest degree
185 degrees
Let F(x)=7x-8 find f(m-4) and simplify
7m-36
If $3000 is placed in an account at 5% and is compounded quarterly for 5 years. How much is in the account at the end of 5 years?
$3846.11
A California city has approximately 5,000,000 people. a census indicated that 420,000 people in the city were over 60 years old. If a person is selected at random, what are the odds that they are younger than 60 years old.
(Round to the nearest 3 decimal places)
.916 or 91.6 percent
Multipy exponents using distributive property
(6t4u2)(-4t8u14)
-24t12u16
Dema's truck gets 34 mpg on the highway and 20 mpg in the city. The amount of gas he uses A (in Gal) is given by A=1/20c + 1/34h, where c is the number of city miles driven and h is the number of highway miles driven. If Dema drove 50 mi in the city and used 8 gal of gas, how many miles did he drive?
187 miles
Find the slope of the line with the given points plotted on the graph.
(1.9,4.2) (3.9,4.7)
m=0.25
$1,200 is placed in an account at 4% compounded daily for 2 years. It is then withdrawn and placed in another bank at the rate of 5% compounded daily for 4 years. What is the balance in the second account after the 4 years.
First two years: A = P(1 + r / 365)365t = 1200(1 + 0.04 / 365)365x2 = $1299.94
Last four years : A = P(1 + r / 365)365t = 1299.94 (1 + 0.05 / 365)365x4 = $1587.73
Solve using the quadratic formula
5x2+ 9x = -4
[-4/5, -1]
Factor completely
25X2-49Y2
(5x+7y)(5x-7y)
Solve using quadratic Formula
6x(x-2)=5
1+-√66/6
A chess master creates instructional videos about various opening strategies. She sells the videos in 3 hr packages for 40$ each. Her one time initial cost to produce each 3 hr video package is $4500 (includes labor and cost of supplies) The cost to package and ship each DVD is $2.95
A) Write a linear cost function that represents the cost C(X) to produce, package, and ship 3 hr video packages.
B) write a linear revenue function to represent R(X) for selling 3 hr video packages
C) evaluate (R-C)(X) and interpret its meaning in the context of the problem
C(x)= 2.95x + $4500
R(x)= 40x
37.05x-4500 represents the profit from selling dvds
On January 1, 2007, the population of the world was approximately 6.6 billion and was increasing by 1.36% every year. Assume that this rate of increase continues. (a) Find a function P that models the population after t years. (b) What does the model predict for the population in 2015 (to the nearest million)
A) P(t)= 6,600,000,000(1+.0136)t
B) P(t)= 6,600,000,000(1.0136)8= 7,353,000,000
Suppose that a student group consists of 9 males and 6 females. What is the probability that a committee of 5 people chosen at random will consist of only females?
6/3003 or 2/1001