What is the simplified multiplier that shows a 25% increase?
1+.25 =1.25
100
Write 50,000 in scientific notation.
5.0*10^4?
100
He deposits his $500 into an account earning 4% interest for several years. Write an exponential model for this situation to figure out how much is in his account in 6 years. Use 1 + "r" for the multiplier, unsimplified.
y=500(1+.04)^6= $632.66
100
She earned 5.75*10^6 dollars in 15 years. On average, how much did she earn per year. Write the answer in scientific notation.
$3.83*10^5 per year.
200
Simplify (3x)^3
27x^3?
200
Find the percent decrease or increase for the multiplier 0.83.
1-0.83 = 0.17 So, it's 17% decrease.
200
Write 0.000055 in scientific notation.
5.5*10^-5?
200
His car cost $17,000, and it's depreciating (losing value) at 12% a year. What will it be worth in 4 years?
17,000(1- 0.12)^4 = $10,194
200
He tests 75 flashers per hour. At this rate, how many will he test in 4 years, assuming he works 40 hours per week and 49 weeks per year. Use dimensional analysis to find the answer, and write answer in scientific notation.
(75 flashers/1 hour)(40 hrs/1 week)(49 weeks/1 year)(4 yrs)
= 588,000 = 5.88*10^5 flashers in four years
300
Simplify (16x^-3)/(24y^5). You may want to rewrite it as a normal fraction first.
2/(3x^3*y^5)
300
What is the simplified multiplier for a 3.5% increase?
1+ .035 = 1.035
300
Write 3.05*10^10 in standard form, and say it as a common number aloud.
30,500,000,000
300
A gold antique watch valued at $1150 is increasing in value by 0.75% monthly. What will it be worth in 10 years?
1150(1+.0075)^120 = $2819.06
300
He works at a prestigious job for 2 years earning 5.02*10^3 dollars per week. How much does he earn in two years? Use dimensional analysis.
What is the simplified multiplier for a 225% increase?
1 + 2.25 = 3.25
400
Write the standard number for 6.003*10^-6.
0.000006003
400
When will a car valued at $5000 that is depreciating at 6% a year be worth $100?
See where y = 5000(1- .06)^x intersects the horizontal line y = 100. x = 63 years
400
The population of Algebor is 5.02*10^5 people and its area is 6.5*10^3 square miles. Find its density to the nearest person per square mile.
.772*10^2 = 77 people/square mile
500
Simplify (4^2*x^-2*y^0*z^4)^3 (no negative or zero powers in answer; numbers should not have powers).
(4096z^12)/(x^6)
500
If the multiplier is 4.5, what is the percent increase or decrease?
4.5 = 1 + 3.5 It's a 350% increase
500
Write (8.09*10^9)(6.2*10^5) in scientific notation.
5.0158*10^15
500
The x values in a table are 0,1,2,3,4,5; and the corresponding y values are 62,81,105,137,178,231.
Write an exponential model for these data where the multiplier is written in the form "1 + r".
y = 62(1+.3)^x
500
The diameter of Geometaris is 5.3*10^4 kilometers. If you lined up 4.3*10^2 planets (including Geometaris) the same size as Geometaris in a row so that they were touching, how far would it be across all of these planets? Write answer in scientific notation.