Misc
Depreciate What?
Insurance
Buying and Selling
All That's Statistics
100
Dani drove from San Diego to Denver, which is a distance of 2,599 miles. If she averaged 75 miles per hour on her trip, how long is her driving time to the nearest minute?
What is 34 hours and 39 minutes
(2599/75=34.65, .65*60=39 minutes)
100
Julia purchased a used car for $34,600. The car depreciates exponentially by 6% per year. How much will the car be worth after 7 years?
What is $22,437.32
(y=34600(1-.06)^7)
100
Josie’s annual premium is $2,501. She pays her premium monthy and there is a $4 per payment surcharge. What is the monthly payment?
What is $208.42
(2501/12)
100
David purchased a used car for $9,600. He paid 6% sales tax. How much did he pay in taxes?
What is $576 in taxes
(9600*.06)
100
What is the mean, median, and mode of the numbers below?
5, 12, 4, 7, 7
Mean = 7 ( (5+12+4+7+7)/5 )
Median = 7 (4,5,7,7,12) MIDDLE
Mode = 7 (most repeated)
Range = 8 (12-4)
200
Randy was driving on an asphalt road with a drag factor of 0.75. His brakes were working at 95% efficiency. He hit the brakes in order to avoid a dog that ran out in front of his car. His tires made skid marks of 36 ft, 40 ft, 41ft and 45 ft respectively. What was the minimum speed Randy was going at the time he went into the skid?
What is 29.4 mph
sqrt(30*.75*.95*40.5)
200
Shirley bought a new car for $21,000. After depreciating exponentially for 5 years, the car is now worth $15,000. At what rate did the car depreciate at, rounded to the nearest tenth of a percent.
What is 6.5%
r=1-(15000/21000)^(1/5)
200
Name the following insurances and what they represent.
50/100/25
$50,000 per person medical liability
$100,000 per accident medical liability
$25,000 Property Damage liability
200
Jordan purchased a used car for $6,700. His state charges 6.25% tax for the car, $44 for license plates, another $30 for a personalized plate, and $33 for a state safety and emissions inspection. How much does Jeff need to pay for these charges, not including the price of the car?
What is $525.75
((6700*.0625)+44+30+33)
200
What are the 3 Quartiles?
Q1 - 6
Q2 - 12
Q3 - 16
300
Determine the minimum speed of a car at the point the brakes are immediately applied to a avoid a collision based upon a yaw mark chord measuring 74 feet and a middle ordinate measuring 8 feet. The drag factor of the road surface is 1.03 . Round your answer to the nearest tenth.
What is 35.3 mph
70^2/(8*8)+(8/2)
sqrt(15*1.03*80.56)
300
Brad bought a used car for $4,625. When this car was new, it sold for $22,500. If the car depreciates exponentially at a rate of
5 3/4%
per year, approximately how old is the car?
What is 26.7 years old (or 27)
t=ln(4625/22500)/ln(1-.0575)
300
Jennifer has $20,000 worth of property damage insurance. She causes $26,500 worth of damage to a sports car in an accident. How much will the insurance pay in this accident?
What is $20,000
($20,000 is the MAX the insurance will pay)
300
Using the piecewise function, find the cost of a 7-line ad.
What is $42.50
(31.50+5.50(7-5))
300
Find the Interquartile Range (IQR) of the following data:
112, 122, 128, 132, 136, 142, 152
What is 20
(Q3 142 - Q1 122)
400
A car is traveling at 65 mi/h before it enters into a skid. The drag factor of the road surface is 0.91 and the braking efficiency is 92%. How long might the average skid mark be to the nearest tenths?
What is 168.2 ft long
65=sqrt(30*D*.91*.92)
400
Dana bought a car that is 5 years old and paid $15,100. This make and model depreciates exponentially at a rate of 10.25% per year. What was the original price of the car when it was new?
What is $25,930.13
A=15100/(1-.1025)^5
400
Josh has a policy with 50/100 BI. He causes an accident in which he hurts 3 people in a Honda Civic and 2 people in his own car, including himself. Each person needs up to $20,000 in medical care, and Josh was hurt the worst, needing $32,000 in medical care How much does the insurance company pay, and how much will Josh need to cover?
Insurance pays $100,000
Josh pays $12,000
(20,000*4 = 80,000 + 32,000=112,000
Insurance pays MAX 100,000 per accident, Josh will need to cover that 12,000)
400
Using the following piecewise, find the difference between a 6-line ad and a 10-line ad.
What is $22
((41.55+5.50(10-6) - 41.55)
400
What percent have 16 or less?
What is 75%
(Each section is 25%)
500
Sarah is taking out a 6-year loan for $17,290. If she has an APR of 7.5%, what is the monthly payment?
What is $298.95
Monthly payment formula
500
Jack purchased a new car for $40,000. The car depreciates exponentially by 8.5% per year. After how many years will the car be worth under $10,000?
What is 16 years
40000(1-.085)^16=$9656.01
500
Kathy has 100/300/50 liability insurance with a $1000 deductible. While driving, she hits a patch of ice and hits a guardrail. There was $2,500 worth of damage to the guardrail. The accident causes $650 of damage to her car. How much of the cost will insurance pay, and how much will Kathy need to cover?
Insurance pays $1500 for the guardrail (Property Damage 2500-1000)
Kathy pays $1000 deductible AND $650 for her car = $1650
(Kathy has no collision insurance which would pay for her car).
500
Using the following ad, answer the question below.
If the newspaper charges her $35 for the first three lines and $4.50 for each extra line, how much will this ad cost her?
What is $44
(35+4.50*2)
500
What is the mean, median, mode, and range of the numbers below?
Mean = 22.5
Median = 20.5
Mode = none
Range = 32