Finance
Calculate your monthly expenses.
$700 rent per month, $150 gas per month, $100 groceries per month, $3000 tuition per semester, $500 books and fees per semester, $400 annual renters insurance
$1566.67
Determine if the question is better answered with an observational study or an experiment.
What is the average income of stock brokers?
Observational Study
What is the premise of this argument?
Toyota trucks are the best because a lot of people have Toyota trucks.
A lot of people have Toyota trucks
There is a 35% chance that it will rain today. What is the chance that it will not rain?
65%
Does the following situation represent a linear or exponential function?
The population of Meadow View is increasing at a rate of 300 people per year.
Linear
You deposit $5000 in a bank account that pays a APR of 3% and compounds interest monthly. How much money will be in the account after 10 years assuming no additional deposits are made?
$6746.77
Determine the sampling method.
You are conducting a survey of students in a dormitory. You choose your sample by knocking on the door of every 10th room.
Systematic sample
What logical fallacy is present in this argument?
You don't support the principal so you have no school spirit.
Limited choice
What is the probability that you roll a sum of 9 when rolling two 6-sided dice?
1/9 or 11.11%
Write an equation to model the situation.
Your job is to oversee an automated assembly line that manufactures computer chips. You arrive at work one day to find a stock of 25 chips that were produced during the night. During the day 4 chips get produced per hour.
y=4x+25
At age 30, Michelle starts an IRA to save for retirement by depositing $100 at the end of each month. If she can count on an APR of 6%, how much will she have when she retires 35 years later at age 65?
Bonus: Calculate the total deposits she makes over the 35 years.
$142,471.03
Bonus: $42,000
Make a box and whisker plot for the following data.
4.1, 5.2, 5.6, 6.2, 6.7, 7.2, 7.7, 7.7, 8.5, 9.3, 11.0
Min: 4.1, Q1: 5.6, Med: 7.2, Q3: 8.5, Max: 11.0
How many seconds are in a day?
86,400 seconds
A Little League manager has 15 kids on her team. Knowing that the order of which she chooses the batting order matters, how many ways can she form a 9-player batting order?
1,816,214,400
Write an equation to model the situation.
China's population in 2013 was 1.3 billion. Suppose the population declines at a rate of 0.5% per year.
Bonus: What will the population be in 2050?
y=1.3 billion x (0.995)t
Bonus: 1.08 billion
At age 35, you start saving for retirement. If your investment plan pays an APR of 6% and you want to have $2 million when you retire in 30 years, how much should you deposit monthly?
$1991.01
The math portion of the SAT is normally distributed with mean of 500 and standard deviation of 100. What percent of scores are between 300 and 600?
81.5%
How many square yards of carpet do you need to carpet a room that measures 10 feet by 12 feet?
13.3 yd2
How many different five-card hands can be dealt from a standard deck of 52 cards?
2,598,960
Solve 9x=1748
3.40
You need a $6000 loan to buy a used car. Your bank offers a 5-year loan at 10%. Calculate your monthly payment, the total loan payment, and total interest paid over the life of the loan.
Monthly payment: $127.48
Total loan payment: $7648.80
Total interest: $1648.80
The body mass indices of American men between ages 30 and 50 are normally distributed with a mean of 26.2 and a standard deviation of 4.7. What percentile is a BMI score of 29?
Between 72.24% and 72.57%
As you ride an exercise bike, the display states that you are using 500 calories per hour. How much energy are you using in joules per second? 1 cal=4184 J
581 joules/sec
You are at an art auction deciding whether to bid $50,000 for a particular painting. You believe you have a 1/2 probability of reselling the painting for $70,000 and a 1/4 probability of reselling the painting for $80,000. What is the expected value of a $50,000 bid?
$5,000
Define domain.
All possible x-values (inputs) of an equation.