Answer:
(a) 153.93804
(b) 615.75216
Step-by-step explanation:
(a) A=πr2
14 divided by 2 =7
=π*7 squared =153.93804
(b) A=πr2
28 divided by 2= 14
=π*14 squared=615.75216
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
George invested $18,500 five years ago and unfortunately the investment has been losing 6% of its value each year. What is the current value of his investment? Round to the nearest cent.
Answer:
$13,577.22
Step-by-step explanation:
Multiply 18,500 by 0.94 for each year
Find the Mean absolute deviation
45, 60,55, 20,15,10,30
Answer:
The mean is 30
If anyone could please help I would appreciate it!
Find y. Give your answer in the simplest form
Answer:
[tex] 3 \sqrt{3} [/tex]
Step-by-step explanation:
[tex]tan \: 60 \degree = \frac{y}{3} \\ \\ y = 3tan \: 60 \degree \\ \\ y = 3 \sqrt{3} [/tex]
Answer:
y = 3[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then
tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{3}{y}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )
y = 3[tex]\sqrt{3}[/tex]
The dot plot shows the number of flowers each science student was able to identify. A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12. Select from the drop-down menus to correctly complete the statement. The distribution of data is skewed right , with a mode of Choose... , and a range of Choose... .
Answer:
The dot plot shows the number of flowers each science student was able to identify.
A dot plot whose number line is labeled Number of flowers identified. There are 2 dots above 0, 4 dots above 1, 5 dots above 2, 7 dots above 3, 4 dots above 4, 3 dots above 5, 2 dots above 6, 1 dot above 7, 2 dots above 8, 1 dot above 9, 1 dot above 10, and 1 dot above 12.
Select from the drop-down menus to correctly complete the statement.
The distribution of data is 1 "skewed right", with a mode of 2 "3", and a range of 3 "12".
Step-by-step explanation:
I took the test!
100-121k^2=0 What are solutions to this equation?
Answer:
k = ±[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
121k² - 100 = 0
(11k + 10)(11k - 10) = 0
Find the area of the smaller sector.
brainlest
Answer:
44.68 m²
Step-by-step explanation:
Area of a sector = θ/360*πr²
Where,
θ = 80°
r = 8 m
Plug in the values into the equation
Area of the sector = 80/360*π*8²
= 44.6804288 ≈ 44.68 m² (nearest hundredth)
Does anyone wanna play iMessage games
yessss
lets
play
rn!!!!!!
Please help me i dont understand this
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
Find the area of the following shapes.
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
BRAINLIEST TO CORRECT
Answer:
4519.5
Step-by-step explanation:
so sorry if that's not correct.
Dana buys dress shirts from a clothing manufacturer for s dollars each, and then sells the dress shirts in her retail clothing store at a 35% markup.
a. Write the mark up as a decimal.
b. Write two expressions for the retail price of the dress shirt.
c. What is the retail price of a dress shirt that Dana purchased for $32.00?
d. How much was added to the original price of the dress shirt?
A.Supplementary
B.None
C.Complementary
D.Vertical
Answer:
A. the answer is supplementary
A walking path across a park is represented by the equation y=-4x+10. A new path will be built perpendicular to this path. The paths will intersect at the point (4,-6). Identify the equation that represents the new path. A. y=4x-22 B. y=1/4x-7 C. y=-4x+10 D. y=-1/4x-5
Given:
The equation of a line is
[tex]y=-4x+10[/tex]
A perpendicular line on the given line passes through the point (4,-6).
To find:
The equation of the perpendicular line.
Solution:
We have,
[tex]y=-4x+10[/tex]
On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get
[tex]m=-4[/tex]
So, the slope of the given line is -4.
We know that the product of slopes of two perpendicular lines is always -1.
[tex]m\times m_1=-1[/tex]
[tex](-4)\times m_1=-1[/tex]
[tex]m_1=\dfrac{-1}{-4}[/tex]
[tex]m_1=\dfrac{1}{4}[/tex]
The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]
[tex]y+6=\dfrac{1}{4}x-1[/tex]
[tex]y=\dfrac{1}{4}x-1-6[/tex]
[tex]y=\dfrac{1}{4}x-7[/tex]
Therefore, the correct option is B.
square root of 729 using repeated subtraction method. I need detailed steps
Answer:
√729=√27*27=√27^2=27
Help with math homework Will mark brainlest no matter what
Answer:
(x-3)^2 + (y+2)^2 = 25
Step-by-step explanation:
Center is (3,-2) Radius is 5
3=h -2=k r=5
Formula (x-h)^2 + (y-k)^2 = r^2
Plug it in and switch the signs inside the ( )
(x-3)^2 + (y+2)^2 = 25
A car is stuck in a ditch. The car weighs 500kg. How much force will it take to take the car out of the ditch.
Thank you to anyone who answers .
Answer:
last one
Step-by-step explanation:
what is 2+2=? adding letters for extra characters
Answer:
4
Step-by-step explanation:
The sum of the measures
of the interior angles of
polygon is 2,880. How
many sides does the
polygon have?
Answer:
pretty sure its 18
Step-by-step explanation:
can someone please help me with this question???
Answer:
52.36 rounded to hundredth place
Step-by-step explanation:
8 is the height and radius is half of the diameter. Just plug those into the equation
Best loadout for peacekeepe?
what is the equivalent ratio for 3:4
Answer:
A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.
write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
Given
[tex]m = 2[/tex]
[tex]b = 2[/tex]
Required
Write equation in slope intercept form
An equation in slope intercept form is:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = 2x + 2[/tex]
Mia wants to purchase a pair of jeans that cost $36. They are on sale for 20% off. What are two ways that Mia can find the cost of the jeans? Write your answers in the blanks. Mia can find the difference of 36 and of 36 or she can multiply 36 by
please help
Answer:
multiply 36 by .20 and subtract that from 36
Step-by-step explanation:
20% is the amount off. if you multiply .20 and subtract it you'll get $7.20 so 36-7.20 which is $28.80.
Answer:
28.80 is 36 dollars 20 percent off.
Step-by-step explanation:
take the original price
divide the original price by 5
alternatively, divide the original price by 100 and multiply it by 20
subtract this new number from the original one
the number you calculated is the discounted value.
more simple steps:
1. subtract the final price from the original price
2. divide this number by the original price
3. multiply the result by 100
other explanation: a 20 percent discount is 0.20 in decimal format. secondly, multiply the decimal discount by the price of the item to determine the savings in dollars. for example: if the original price of the item equals 24$, y I u would multiply 0.2 by 24$ to GET $4.80
hope this helps!
WILL GIVE BRAINLIEST
Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.
Step-by-step explanation:
As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.
With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.
What is the volume of this cone
Answer:
4096pi/3
Step-by-step explanation:
Volume is pi * r^2 * h/ 3
r (radius) = 16
h (height)= 16
pi * 256 * 16/3 = 4096pi/3
There are 300 pages in your independent reading book for English. You have read 78% of the book. How many pages have you read?
Answer:
234
Step-by-step explanation:
300 x .78 = 234
Answer:
234 pages.
Step-by-step explanation:
Remark
78% = 78/100
78% of 300 = 78/100 * 300 = 23400/100 = 234
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700