Math TEST 3
If someone needed $20000 to maintain a certain standard of living in 1976, how much would be needed to maintain the same standard of living in 2008
$75600
You purchase a bike with a retail (pre-tax) price of $760. The local sales tax rate is 7.6%. What is the final cost?
$817.76
Your true height is 68.0 in (5'8") but a nurse in your doctor's office measures your height as 67.5 in
-0.73%
Your homemade pasta sause recipe calls for 5 oz of olive oil. You mistakenly use 4 3/4 oz
-5%
Urban encroachment is causing the area of a forest to decline at a rate of 7% per year. What is the approximate half life of the forest? About what fraction of the forest will remain in 50 yrs?
0.03125 C•
Compare the energy released by burning 1 kg of coal to the energy released by fission of 1 kg of Uranium.
0.285x10^-4
The wholesale price of a TV is 40% less than the retail price. Therefore, the wholesale price is ______ times the retail price
0.6
Energy released by fusing of Hydrogen in 1 Liter of water = 6.9x10^13 joules
0.72x10^-6 L of water
SD 0.01 cm
1 sd
SD 90 mi per hr
1 sd
Scientific notation: 1. 4752.98 2. 0.00135
1. 4.75298x10^3 2. 1.35x10^-3
The consumer price index (CPI) is increasing at a rate of 3 percent per year. What is its doubling time? By what factor will prices increase in 3 yrs?
1.09 C• (c sub zero)
How many days would elapse before you had a total of more than $1 billion (Hint: proceed by trial and error)
1.4 billion after 37 days
A decrease of 30% per year what is the exact half life
1.94 yrs
1 in on a map represents 10ft in actual measurement
1/120
Hiw many bateria are in the bottle at 11:50? What fraction of the bottle is full at that time?
1/2^10 full at 11:50
Mercedes is 20% more than lexus P=20
100 (20)/100+20% less than mercedes Lexus is 16.67% less than mercedes
The half life of a radioactive substance is 50 yrs. If you start with some amount of this substance, what fraction will remain in 100 yrs? 300 yrs?
100 yrs= 1/4 C• 300 yrs= solve
Magic penny...how many pennies after 10 days? 20 days?
1024 pennies ($10.24) 1048576 pennies ($10485.76)
Scientific notation: 5.1 million x 1.9 thousand = 5 million x 2 thousand 5x10^6 × 2x10^3 = 10^1 × 10^6 × 10^3
10^10
The initial pop of a town is 12000 and it grows with a doubling time of 10 yrs. What will the pop be in 12 yrs? 24 yrs?
12 yrs= 27569 people 24 yrs= solve
Subtract 0.1 lb from 12 lbs to find the weight of your chihuahua before he ate dinner
12-0.1=11.90 12 rounded to the nearest 1
Will is 22% taller than Wanda so Wills height is _____% of Wandas height
122%
Cobalt-56 has a half life of 77 days. If you start with 1 kg how much will remain after 150 days? 300 days?
150 days= 259.16 g 300 days= solve
SD Divide 102 mi by 0.65 hr
160 with 2 sd
SD 231.82 ÷ 0.034
2 sd
The number of cells in a tumor doubles every 2.5 months. If the tumor begins as a single cell, how many cells will there be after 2 yrs? 4 yrs?
2 yrs= 776 cells 4 yrs= solve
If it cost $10 to fill a gas tank in 1970 what fraction of the same tank could you fill with $10 in 2000
23%
The half life of a drug in the bloodstream is 18 hrs. What fraction of the original drug dose remains in 24 hrs? 48 hrs?
24 hrs= 0.396 48 hrs=solve ( 1/4 C •)
The doubling time of a pop of fruit flies is 8 hrs. By what factor does the pop increase in 24 hrs? In 1 week?
24 hrs= grown by a factor of 8 1 week= grown by a factor of 2097152
How many avg candy bars would you have to eat to supply the energy needed for 6 hrs of running? 1 candy bar= 1x10^6 joules 1 hr= 4x10^6 joules
24x10^6 J 24 candy bars
How many grains on square 19?
262144 grains
28 lbs of recyclable trash in a barrel of 52 lbs of trash.
28 is 53.8% of 52 because 28/52= 0.538
Suppose the current price of gas is $3.50. Find the current price index, using the 1980 price as the reference value
286.88%
What is the total weight of all the wheat when the chessboard is full?
2^64-1 x (1/7000)= 2.64x10^15 lbs
SD 45x32.1
3 sd
SD 0.000203
3 sd
What is the rate of inflation from 1982 to 1983 CPI: 1982= 96.5 CPI: 1983= 99.6
3.2%
Your speedometer reads 60 mi per hr when you are actually travelling 58 mi per hr
3.4%
In 2012 there were approximately 31700 firearm fatalities (homicides and suicides). Express the quantity in deaths per hour.
3.6 deaths/hr
An increase of 20% per year what is the exact doubling
3.8 yrs
How many grains of wheat should be placed on square 16 of the chessboard? Find the total number of grains and their total weight (in lbs) at this point
32768 grains 2^16-1 = 65535 x (1/7000)= 9.36 lbs
The number of daily newspapers in the US was 2226 in 1990 and 1382 in 2011
37.9% or -37.9%
The population of MeadowVeiw is increasing at a rate of 300 people per year. If the pop is 2500 today what will it be in 4 years?
3700 people
SD 2454 dollars per acre
4 sd
Magic penny parable...how much money would you have after 22 days?
4194304 pennies or $41943.04
The full time year round median salary for US men in 2010 was $42800 and the full time year round median salary for US women in 2010 was $34700 (most recent data)
42800 is 123% of 34700 because 42800/34700=1.23
The average sale price of a house in the US decreases from $301000 in February 2008 to $152000 in February 2013
49.5% less or -49.5%
SD 90.001 miles per hour
5 sd
How many grains up to square 19?
524287 grains
There are approximately 4 million births per year in the US. Express this quantitiy of births per minute
7.6 births/min
The # of times your heart beats per day. Suppose that your heart beats 55 beats/ min
79200 beats/day
Gas prices are rising at a rate of 0.8% per month. What is their doubling time? By what factor will prices increase by 1 yr? 8 yr?
8 yr= 1.06 C• 1 yr= solve
The population of Virginia is 18% less than the population of Georgia, so Virginia's population is ________% of Georgia's population
82%
# of hrs you spend in the shower or bath per year 15 min/day
91.25 hr/year
Your total cost for dinner in a restaurant after the tip was $76.40. Assuming you left a 20% tip, what was the bill for food and taxes?
Food bill=76.4/120% 63.67
Assume that 30% of city employees in Carson City ride the bus to work. Consider the following two statements: The % of city employees who ride the bus to work is 10% higher in Freetown than in carson city The % of city employees who ride the bus to works is 10 pp higher in Freetown than in carson city For each case, state the % of the city employees in Freetown who ride the bus to work.
In freetown the # of city employees that ride the bus is 10% more than in carson city = 33% In freetown the # of city employees that ride the bus 10 pp more than in carson city = 40%
If you want to compare the lexus to mercedes then... Mercedes price is $60000 Lexus price is $50000
Lexus price is 16.67% less than the mercedes
#11 (3E)
Look in notes
#17 (3E)
Look in notes
#18 (3E)
Look in notes
#23 (3E)
Look in notes
New value is 100% more than the original value...
New value is double the original amount
The annual interest rate for Jacks savings account increased from 2.3% to 2.8%
Relative change 21.7%
Compare the price of mercedes to the price of the lexus Price of Mercedes is $60000 Price of Lexus is $50000 What is the relative difference
Relative diff= 10000(absolute difference)/50000 Mercedes cost is 20% more than lexus
The number of deaths due to poisoning in the US in 2009 (39000) is ________ percent greater than the number of deaths due to falls (26100) (most recent data)
Relative difference 49.4%
Your weight is 52.55 kg. A scale at a health clinic that gives weight meaurements to the nearest half kg gives your weight as 53 kg. A digital scale at the gym that gives readings to the nearest 0.01 kg gives your weight aa 52.88 kg
Scale to the nearest half = 53 kg Digital scale = 52.88 kg (more accurate and more precise)
Random error The annual incomes of 200 people obtaines from their tax returns
Some people incorrectly or intentionally not do taxes correctly or at all
Your true height is 70.50 in. A tape meaure that can be read to the nearest 1/8 in gives your height as 70 3/8 in. A new laser device at the Dr's office that gives readings to the nearest 0.05 in gives your height as 70.90 in
Tape measure =70.375 in more accurate Laser= 70.90 more precise
If the price of gas is increasing at a rate of 3% per month, find Tdouble? What will be the price after 10 months if current price is $1.50?
Tdouble= 23.3 mo After 10 mo new price = $2.019
During an episode of hyperinflation that occured in Brazil in 1999 the price of food increased at a rate of 30% per month. If your food bill was R$100 one month during this period what was it four months later? (R$ is the symbol for Brazilian currency)
$285.61
A box of vegan macaroni and cheese cost $0.25 in 1976. What was its price in 2005 dollars?
$0.86
If it cost $8 to fill a gas tank in 1980 how much would it have cost to fill the same tank in 2010?
$18.62
Simon's monthly take-home pay (after taxes) in tax, what is the gross pay?
$2284.81
The price of computer memory is decreasing at a rate of 14% per year. If a memory chip costs $50 today. What will it cost in 3 yrs?
$31.80
