Answer:
$54000
Step-by-step explanation: 3780 divided by the number of years he paid interest for, (6) gives you 630. If he pays 7% interest, you calculate what number 630 is 7% of (9000.) Therefore he takes out 9000 dollars a year. Meaning that in total, he borrowed 54,000 dollars. (9000 x 6)
find the x- and y- intercepts of parabola y=5x^2-16x+10
Y-INTERCEPT
[tex]y = 5x^2 - 16x + 10[/tex]
The y-intercept is where the equation/curve/parabola cosses the y-axis.
The y-axis is where x = 0. (The x-axis is where y = 0)
To find the y-intercept:
[tex]\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10[/tex]
The y-intercept must be at (0, 10)
X-INTERCEPT (ROOTS/SOLUTIONS)
[tex]y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0[/tex]
We need to use the quadratic formula
The quadratic formula helps us find what values of [tex]x[/tex] make the equation = 0
Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\[/tex]
The x-intercepts are at:
[tex](\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)[/tex]
solve using elimination method -4x+11y=-50
-4x+11y=-50
[tex]x = \frac{25}{2} + \frac{11y}{4} [/tex]
11. 20% of a number is 6. What is the number?
A. 12
B. 26
C. 30
D. 48
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~
Assume the number to be x, and let's proceed as per the given information :
[tex]\qquad \tt \dashrightarrow \: \dfrac{20}{100} \times x = 6 [/tex]
[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{5} = 6[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 5 \times 6[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 30[/tex]
So, the correct choice is C
20% of a number= 6.
to find:the unknown number.
solution:let the unknown be x.
[tex]20\% \times x = 6[/tex]
[tex] \frac{20}{100} = 6[/tex]
[tex]x = 6 \times \frac{100}{20} [/tex]
[tex]x = 30[/tex]
therefore, 20% percent of 30 is 6.
answer= option c
A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon rises in 8 minutes. Use d for distance and m for minutes.
Write the equation and the answer separated by a semi-colon. Included the unit in your answer.
For example, d = 5m; 35 feet
Answer:
See below
Step-by-step explanation:
100 ft in 4 min = 25 ft/min
125 feet in 5 min = 25 ft min
so the height is d = 25 * m d = height m = minutes
25* 8 = 200 feet
22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?
22 people
333 chocolate bars
to find:the amount of chocolate each person get.
solution:[tex] \frac{333}{22} [/tex]
[tex] = 15.1363636364[/tex]
[tex] = 15.14[/tex]
[tex] = \frac{15.14}{1} [/tex]
[tex] \frac{15.14}{1} \times \frac{100}{100} [/tex]
[tex] = \frac{1514}{100} [/tex]
[tex] \frac{1514 \div 2}{100 \div 2} [/tex]
[tex] = \frac{757}{50} [/tex]
[tex] = 15 \frac{7}{50} [/tex]
Answer:
[tex]15\frac{7}{50}[/tex]
Step-by-step explanation:
Given that:
22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
To Find:
About how much chocolate does each person get?
Solve:
Since, it given us that 22 people share 333 chocolate bars equally and how much chocolate does each person gets. Therefore we have to divide the chocolate bars by the number of people.
[tex]22\overline{|\smallspace333}\:\:\:\:\:\:[/tex]
[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5.13636\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace333.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace1\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace3\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]
[tex]\underline{\emptyspace2\emptyspace2}\\80\\\underline{\emptyspace6\emptyspace6}\\140\\\underline{\emptyspace13\emptyspace2}\\8[/tex]
Rounding to nearest tenth: 15.14
Now put 15.14 over 1
[tex]\frac{15.14}{1}[/tex]
Multiply both by 100
[tex]\frac{15.14}{1}\times\frac{100}{100}[/tex]
[tex]=\frac{1514}{100}[/tex]
[tex]=\frac{1514\div2}{100\div2}[/tex]
[tex]=\frac{757}{50}[/tex]
Turning into mixed number:
[tex]15\frac{7}{50}[/tex]
Thus, each person get about [tex]15\frac{7}{50}[/tex] chocolate
Kavinsky
Answer asap and only if yk 100% its correct
Find the volume of this triangular prism. Be sure to include the correct unit in your answer.
No links, you will be reported
Answer:
120 yards cubed
Step-by-step explanation:
brainliest please
An angle is a figure formed by two _____ with a common endpoint.
A. rays
B. lines
C. shapes
D. straightedges
E. planes
Answer:
Two rays (or lines) that begin at the same point or share same endpoint. If the lines have endpoints, they're rays. If not, they're lines.
A line passes through the point (-4,8) and has a slope of -5/4.
Write an equation in slope-intercept form for this line.
Answer:
y = -1.25x + 3
OR
y = -1 1/4x + 3
OR
y = -5/4x + 3
can anyone answer this ? or recommend a better website or app that’s good for doing algebra problems like these..
Answer:
(A) 7/(m+4)
Step-by-step explanation:
When fractions have a common denominator, you add them by adding their numerators and using that sum with the common denominator.
Here, you may be able to cancel a common factor from numerator and denominator to simplify the expression further.
[tex]\dfrac{4m-17}{m^2-16}+\dfrac{3m-11}{m^2-16}=\dfrac{4m-17+3m-11}{m^2-16}=\dfrac{7m-28}{m^2-16}\\\\=\dfrac{7(m-4)}{(m+4)(m-4)}=\boxed{\dfrac{7}{m+4}}[/tex]
Bella recorded data and used her graphing calculator to find the equation for the line of best fit. She then used the correlation coefficient to determine the strength of the linear fit. Which correlation coefficient represents the strongest linear relationship?
A) 0.9
B) 0.5
C) -0.3
D) -0.8
Answer: A.) 0.9
Step-by-step explanation: hope this helps xlXCherryColaXlx. have a great day :3...(pls mark me brainliest)
The function h(T)= 200- 16t represents the height of a ball dropped from 200 feet.
How far had the ball traveled after falling for 7 seconds?
Answer: 112 feet
Step-by-step explanation:
5) Give all intercepts
Answer:
4, -4, 10
Step-by-step explanation:
on these types of questions you can take each seperate parenthesis and equate it to 0
for example:
x^2 - 16 = 0
hence,
x^2 = 16
x = 4 or -4
second parenthesis:
10 - x = 0
x = 10
make sure to ask if you need any further guidance :)
Which line best represents the line of best fit for this scatter plot?
Line A
Line B
Line C
Line D
Answer:
Line D
Step-by-step explanation:
The line of best fit should be the one where majority of the points in the scatterplot lay near itLine D is the line of best fit for this scatter plotLet's see how much points fall under each line's region
Line A:-1 or 2Line B=2LineC=2 to 3Line D=5 to 6Majority of points lie under line D
Hence line D should be correct
Which of the following is a negative aspect of wind power?
A. It does not generate waste and has little impact on the ecosystem
B. There is no emission of greenhouse gases
C. It is more expensive than traditional fossil fuel power stations
D. It takes more coal-fired power stations to produce as much energy
Answer:
C is the answer, as wind turbines are more expensive
NEED HELP ASAP PLEASEEE
Answer:
.......C........
Step-by-step explanation:
......
Which expression is equivalent to this polynomial?
x2 + 12
Answer:
Option A is the correct answer
A. [tex](x+2\sqrt3 i)(x-2\sqrt3 i)[/tex]
Step-by-step explanation:
[tex](x + 2 \sqrt{3} i)(x - 2 \sqrt{3} i) \\ \\ = {(x)}^{2} - (2 \sqrt{3} i)^{2} \\ \\ = {x}^{2} - {(2)}^{2} {( \sqrt{3} )}^{2} {i}^{2} \\ \\ = {x}^{2} -12 {i}^{2} \\ \\ = {x}^{2} - 12( - 1) \\ (\because i^2=-1) \\ = {x}^{2} + 12[/tex]
find the value of x ( SHOW YOUR WORK )
Select the correct answer.
Which question Is NOT a statistical question?
O A.
How many vehicles do Boston residents have per household?
• B.
How much money do Boston residents spend on transportation every day?
O C.
How many Boston residents use public transportation?
® D.
How many times per month do Boston residents use
public transportation?
O E.
How long does it take for Boston residents to travel to work?
Answer:
A. How many vehicles do Boston residents have per household?
Step-by-step explanation:
A statistical question is that question, which is answered by collecting variable data. For example - “How old are the students in your neighborhood?”
So, here the question that is not statistical is How many vehicles do Boston residents have per household? As its answer can be 1 or 2 at maximum.
Whereas;
B. How much money do Boston residents spend on transportation every day? This is statistical as you need to conduct survey for this to collect data.
C. How many Boston residents use public transportation? This also needs survey to collect data and data will be variable.
D. How many times per month do Boston residents use public transportation? This is also statistical as you have to gather data from many people.
E. How long does it take for Boston residents to travel to work? This is also statistical as everyone will have a variable answer depending on the distance they travel.
Answer:
A
Step-by-step explanation:
have a good day
help please fast .. this is in the class
Answer:
3 is correct answer
Step-by-step explanation:
root 2 and pi are irrational numbers
Answer for the question
Answer:
it is the domain
Step-by-step explanation:
because if you put 5x on the other side it will be a -5
The box and whisker plots below show two classes' semester grades. Write a paragraph comparing the two sets of
data. Be sure to compare the extremes, quartiles, medians, and the different types of ranges.
100
50
100
UPLOAD
WRITER
C
The paragraph to show the comparision between two classes semester grades on the basis of the terms
extremesquartilesmediansrangesis given below:
What is Box and Whisker plots?A box and whisker plot is defined as a graphical method of displaying variation in a set of data.
From the first figure, write all the values where dark point is drawn
53, 62, 80, 86, 89
The lower extreme is the smallest value, which is 53.The upper extreme is the highest value, which is 89.
The median will be the middle of data , which is 80The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.The upper quartile is 86 and the lower quartile is 62.
Range of the data be,= Highest - Lowest
=89-53
=36
From the second figure, write all the values where dark point is drawn
56, 62, 74, 89, 96
The lower extreme is the smallest value, which is 56.The upper extreme is the highest value, which is 96.
The median will be the middle of data , which is 74.The upper quartile is the median of the upper region and the lower quartile is the median of the lower region.The upper quartile is 89 and the lower quartile is 62.
Range of the data be,= Highest - Lowest
=96-62
=34
From the above discussion,
The First class have less upper extreme value than the second class.The First class have less lower extreme value than the second class.The First class have greater median than the second class.The First class have less upper quartile than the second class.The First and second class have equal lower quartile.The First class have greater range than the second class.The comparision of the two classes on the basis of extremes, quartile, median, range is concluded above.
learn more about box and whisper plot here:
https://brainly.com/question/11859288
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7:21=10:3z
find the value of x in this ratio
Answer:
z=10
Step-by-step explanation:
We know that the ratio 7:21 is equal to the ratio of 10:3z.
Let's model that in proportions:
7 10
- = -
21 3z
Now that the equation is in proportional form, we can cross-multiply to find the value of z.
7 * 3z = 21 * 10 - Multiply both sides
21z = 210 - Divide both sides by 21
z=10
The answer is z=10.
What is the perimeter of the woods, in miles? Round
you
answer to the nearest tenth.
The perimeter of the woods is 26 miles if each grid represents one mile in the figure.
What is the area of the rectangle?It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.
The formula for finding the area of a rectangle is given by:
Area of rectangle = length × width
We know the perimeter of the rectangle = 2(length + width)
As we can see closely in the figure the perimeter of the wood is actually a perimeter of a rectangle if we shift vertical and horizontal lines to make it a complete rectangle.
Let's suppose each grid is expressing one mile.
So the length of the rectangle = 9 miles
The width of the rectangle = 4 miles
The perimeter of the woods = 2(9+4) = 26 miles
Thus, the perimeter of the woods is 26 miles if each grid represents one mile in the figure.
Learn more about the rectangle here:
https://brainly.com/question/15019502
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A rectangular prism has a length of 4 in., a width of 5 in., and a height of 3 1/2in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Step-by-step explanation:
it needs 4×2 = 8 cubes asking the length, 5×2 = 10 cubes along the width, and 3 1/2 × 2 = 7 cubes along the height.
so, altogether
8×10×7 = 560 cubes
Nick bought a sweater for $16.75 and $28.92. estimate how much Nick spent on the sweater and pants.question 2 if Nick paid with $50 how much money will he receive in change?
1. Round to the nearest whole dollar and add: 17 + 29 = $46
Estimated he spent about $46
2. subtract the two amounts from 50:
50-16.75 - 28.92 = $4.33 change back
Here are the test scores for 15 students in Mr. M's class.
96, 85, 59, 63, 76, 68, 94, 97, 89, 100, 93, 96, 72, 46, 78
What is the percentage of these test scores that are less than 90?
the prime factorization of 567 is blank.
So, the prime factorization of 567 can be written as 34 × 71 where 3, 7 are prime.
What is the volume of 8x9x3
Answer:
given - dimensions of a particular solid as 8 × 9 × 3to find - volume of that particular solidSince , we're given three distinct measures , we can make out that the dimensions are most probably of a cuboid.
[tex]Volume \: of \: cuboid = l \times b \times h \\ \\ \implies \: 8 \times 9 \times 3 \\ \\ \bold\red{\implies216 \: units^{3}}[/tex]
hope helpful ~
How can you show your work for 8800 divided by 4