Exam (elaborations)
_8- Percent and Ratio.
- Course
- Institution
_8- Percent and Ratio.
[Show more]
Seller
Follow
modockochieng06
Content preview
Percent and Ratioer
Compound Interest – percent of Inc., Dec. – Tax – discount
P: Start – initial r: rate per ( year – week…. ) t: No. of years- weeks…..
𝑨 = 𝑷(𝟏 ± 𝒓%)𝒕 per year ( week…..)
lp
𝒓% 𝒏𝒕
𝑨 = 𝑷(𝟏 ± ) every n interval in a year
𝒏
𝒕
𝑨 = 𝑷(𝟏 ± 𝒓%)𝒏 every n years
He
𝑻𝒂𝒙 𝒓% 𝒗𝒂𝒍𝒖𝒆 = 𝒑 ( 𝟏 + 𝒓% ) 𝑫𝒊𝒔𝒄 𝒓% 𝒗𝒂𝒍𝒖𝒆 = 𝒑 ( 𝟏 – 𝒓% ) 𝒑 ∶ 𝒐𝒓𝒊𝒈𝒊𝒏𝒂𝒍
Tax n% and discount m% 𝑽𝒂𝒍𝒖𝒆 = 𝒑 ( 𝟏 + 𝒏% ) ( 𝟏 – 𝒎% )
(𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 )
P𝒆𝒓𝒄𝒆𝒏𝒕 𝒐𝒇 𝑰𝒏𝒄. (𝑫𝒆𝒄. ) = × 𝟏𝟎𝟎%
𝒐𝒍𝒅
H
Ratio and compound of two ratios:
𝒂
𝒃
= 𝒂: 𝒃
ex: a : b = 2:3 a :b : sum
AT
𝟐 𝟑
2 :3 : 5 a = of total b= of total
TM
𝟓 𝟓
Ex: a : b : c = 1 : 2 : 4 a : b : c : sum
𝟏 𝟐 𝟒
1 2 4 7 a = 𝟕x total b= 𝟕 x total c= 𝟕
x total
SA
Ex: a : b = 3 : 2 , b:c =5:2 a : c = ??
a: b:c
3 :2
5 : 2
rd
-----------------
15 : 10 : 4 a : c = 15 : 4
Ex: a : b = 2 : 5 , a:c=5:3 b : c ?? a :b :c
oa
2 :5
5 :3
rB
____________
10: 25: 6 b : c = 25 : 6
AmrBoard SAT Helper - Percent and Ratio 1
Am
, 1 AmrBoard SAT Helper 2 AmrBoard SAT Helper
When Shondra makes an online purchase, a 15% The Lees have budgeted between $200,000 and
er
Discount is applied to the retail price and then a $300,000 for their new home. Approximately what
6.25% tax is added to this discounted price. Which of the percentage of the houses shown in the graph are priced
following represents the amount Shondra pays, in dollars, for within the range of this budget?
lp
an item with a retail price of x dollars?
A) x - 0.15 + 0.0625x
A) 35%
B) 1.0625x - 0. 15x
B) 40%
He
C) 1.0625(0.85x)
C) 45%
D) x - 0.15 ( 1.0625x )
D) 55%
3 AmrBoard SAT Helper
H
The line of best fit for these data has the equation
y = 0.12x + 3.37, where x represents the total square
Questions 2 - 3refer to the following information.
AT
footage of the house, and y represents the selling price,
in thousands of dollars, for the house. Which choice
best describes the meaning of the number 0.12 in this
TM
equation?
A) The selling price of the smallest house in the area is
SA
about $1,200.
B) The average selling price of a house, in thousands of
dollars, is about 12% of the size of the house in
The scatterplot above shows the selling price and area, in square feet.
square feet, for 20 homes in a suburban area, as well as
rd
the line of best fit for the data. C) For every increase of 1 square foot in the size of the
house, the average selling price increases by about
$120.
oa
D) For every increase of 1 square foot in the size of the
house, its average selling price increases by about
$0.12.
rB
AmrBoard SAT Helper - Percent and Ratio 2
Am
, 4 AmrBoard SAT Helper 6 AmrBoard SAT Helper
Approximately 3 million U.S. students graduated from Light travels through a vacuum at a speed of
er
high school in 2014, and of those, 70% of the women approximately 186,000 miles per second.
and 65% of the men enrolled in college. The U.S. school Approximately how many miles will a ray of light
population is approximately 49% male and 51% female.
travel through a vacuum in one day?
lp
Which of the following is the best estimate of the
A) 6.7 x 108 miles
number of 2014 female high school graduates who did
B) 1.6 x 1010 miles
not enroll in college?
C) 3.2 x 1010 miles
He
A) 459,000
D) 4.6 x 1013 miles
B) 509,000
C) 907,000
D) 1,080,000
H
AT
TM
5 AmrBoard SAT Helper
In a poll of n students at a local college, 45% of these
SA
students identify themselves as liberals. Of these,
60% support universal health care. If 405 students
of these students are liberals who support universal
health care, what is the value of n ?
rd
A) 109
B) 675
C) 900
oa
D) 1,500
rB
AmrBoard SAT Helper - Percent and Ratio 3
Am
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller modockochieng06. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $7.99. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
62890 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now