A percentage is a way to describe a part of a whole. The percentage decrease is 20%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
One year, the population of a city was 358,000. Several years later it was 286,400. Therefore, the percentage decrease is,
Percentage decrease = (358,000-286,400)/(358,000) × 100% = 20%
Hence, the percentage decrease is 20%.
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Colin borrowed some money at 7.16%/a compounded quarterly. Three years later, he paid $5000 toward the principal and the interest. After another two
he paid another $5000. After another five years, he paid the remainder of the principal and the interest, which totalled $5000. How much money
did he originally borrow?
Based on the calculations below, the amount originally borrowed by Colin is $10,006.67.
How do we calculate the original amount using PV formula?To solve this question, the following present value (PV) formula will be used:
PVn = Pn / (1 + r)^n ........................... (1)
Where:
PVn = Present value of an amount paid in year n
P = Amount paid in year n
r = quarterly interest rate = 7.16% / Number of quarters in a year = 0.0716 / 4 = 0.0179
n = number of quarters = Number of years * Number of quarters in a year = Number of years * 4
Using equation (1), we can therefore proceed as follows:
PV3 = PV of $5,000 paid after three years = $5,000 / (1 + 0.0179)^(3 * 4) = $4,041.18
PV5 = PV of $5,000 paid after another 2 years (after 3 years + 2 years = 5) = $5,000 / (1 + 0.0179)^(5 * 4) = $3,506.45
PV10 = PV of $5,000 paid after another 5 years (after 3 years + 2 years + 5 years = 10) = $5,000 / (1 + 0.0179)^(10 * 4) = $2,459.04
Therefore, we have:
Original amount borrowed = PV3 + PV5 + PV10 = $4,041.18 + $3,506.45 + $2,459.04 = $10,006.67
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can someone do this for me please?! Just the answer pls
Answer:
I was able to solve questions 2 through 4 using the, "center = (h, k)" formula.
2. (3, -1)
3. (1, 2)
4. (-5, 2)
Hope it helps.
Ok 100 points to answer dis question and it very easy i do dis bc i want to give someone points 4 free
wut is 1+1=
Answer:
I’m thinking it’s 2 lol thank you so much!!!
Step-by-step explanation:
1/3x + 1/4y = 1
2x – 3y = –30
Answer:
(-3, 8) is the solution
Step-by-step explanation:
The LCD of the first equation is (3)(4) = 12. Rewriting this equation, we get:
4x + 3y = 12
to which we add the second equation, obtaining:
4x + 3y = 12
2x - 3y = -30
-------------------
6x = -18
Dividing both sides by 6 yields x = -3
Substituting -3 for x in the first equation yields 4(-3) + 3y = 12, or
-12 + 3y = 12
Then 3y = 24 and y must be 8.
The solution to this system of linear equations is (-3, 8).
A line has a slope of 5 and passes through the point (0, 3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y=[ x +
Submit
Tutorial
Answer:
y=5x+3
Step-by-step explanation:
in slope-intercept form, y=mx+b, m is the slope and b is the y-intercept. Should the equation pass through (0,3) then the y-intercept is 3, as the y-intercept is where the equation touches the y-axis (when x = 0), and the slope, 5, was already given to us within the problem itself.
How many positive two-digit numbers have digits whose sum is a perfect square?
Answer:
17 two-digit numbers
So, there are 17 two-digit numbers whose sum of digits is a perfect square.
Step-by-step explanation:
hope it helps you and give me a brainliest
What is the solution set for 2|3y+7|=10
Answer:
[tex]y = \frac{7}{2} [/tex]
Step-by-step explanation:
[tex]3y + 7 = 5y \\ 7 = 5y - 3y \\ 7 = 2y \\ \frac{7}{2} = y \\ y = \frac{7}{2} [/tex]
Which statements about the graph of the function f(x):
2x²-x-6 are true?
Select two options.
V (x) = x(9-2x) (11-2x)
The expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
How to expand the expression?The missing information in the question is to express V(x) in standard form
We have:
V(x) = x(9-2x) (11-2x)
Open the brackets
V (x) = x(99 - 2x - 18x + 4x^2)
Evaluate the like terms
V (x) = x(99 - 20x + 4x^2)
Expand
V (x) = 99x - 20x^2 + 4x^3
Rewrite as:
V(x) = 4x^3 - 20x^2 + 99x
Hence, the expanded form of V(x) = x(9-2x) (11-2x) is V(x) = 4x^3 - 20x^2 + 99x
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Help me please I beg lol I can’t solve it (step by step in comments)
Answer:
272 m
Step-by-step explanation:
You have to devide the shape in 2.
Simplify: 4^2+√9 what is the answer
[tex]~~4^2 +\sqrt 9\\\\=16 +3 \\\\=19[/tex]
Can somebody help find the surface area if this
The total surface area of the object shown in the diagram is 164 inches.
What is the total surface area?
The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3-dimensional object. The object shown is the net of a cuboid.
Total surface area of a cuboid = 2 (lw + wh + lh)
where:
• l = length
• w = width
• h = height
2 { (10 x 3) + (10 x 4) + (4 x 3)}
2 (30 + 40 + 12)
2 x 82 = 164 inches
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The surface area of the figure is 164 square inches
How to determine the surface area?From the net of the rectangular prism, we have the following dimensions:
Length = 4 inches
Width = 3 inches
Height = 10 inches
The surface area is calculated as:
Area = 2 * (Length * Width + Length * Height + Width * Height)
So, we have:
Area = 2 * (4 * 3 + 4 * 10 + 3 * 10)
Evaluate
Area = 164
Hence, the surface area of the figure is 164 square inches
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What are the coefficients in the polynomial 7x2 - 4x + 6?
a. -7,4
b. 7, 4, -6
c. 7. -4,6
d. 7. -4
if i could please get help thank you
Answer:
7 and -4
Step-by-step explanation:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
can someone please help me in finding the range
Answer:
[tex]\{-20, -2 ,13\}[/tex]
Step-by-step explanation:
The range of a function is the set of its possible output values
[tex]f(x) = 3x-8\\\\f(-4) = 3(-4) -8 = -12 -8 = -20\\\\f(2) = 3(2) -8 =6-8 = -2\\ \\f(7) = 3(7) -8 = 21 -8 = 13\\\\\text{Range} = \{-20, -2 ,13\}[/tex]
Which one??? Please
Answer:
Step-by-step explanation:
its A
The local school board needs to choose whether to build an addition to the elementary school library or remodel the high school basketball court. Which sampling option might the board choose to survey the community?
Why is it important to avoid a smaller sample size?
Answer:
Don't know the full answer, though I searched it up on brainly and found this:
Hopefully it can help you with whatever you are doing/taking.
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Drag each condition to the correct location on the table. Match each condition to the number of triangles that can be constructed to fit the condition. condition A: one side measuring 4 inches, another side measuring 8 inches, and a third side measuring 10 inches condition B: one angle measuring 60°, another angle measuring 40°, and a third angle measuring 90° condition C: one side measuring 4 inches, another side measuring 8 inches, and the angle between them measuring 70° condition D: one side measuring 5 inches, another side measuring 7 inches, and a third side measuring 12 inches condition E: one angle measuring 30°, another angle measuring 80°, and the length of the included side measuring 8 inches condition F: one angle measuring 40°, another angle measuring 80°, and a third angle measuring 60°
No triangles are possible for Options B and D. One triangle is possible for options A, C, and E. Many triangles are possible for option F.
How to interpret Triangles?For it to be a triangle, then it must have 3 vertices and 3 sides with the sum of 2 sides greater than the third side. Also, the sum of interior angles must be 180°.
A) Side lengths of the triangle are; 4 inches, 8 inches and 10 inches.
4 + 8 > 10. Thus, it is a triangle.
B) 60° + 40° + 90° = 190 ≠ 180°
Thus, no triangle is possible because the sum of the angles in triangle is 180°.
C) There are two sides are given and one angle. Thus, from SAS congruency theorem, one triangle is possible.
D) 7 + 5 = 12
There is no triangle possible because the sum of the two sides must be greater than the third side.
E) We are given two angles and one side. Thus, from the ASA Congruency Postulate, one triangle is possible.
F) 60° + 80° + 40° = 180°
There are three angles given, but no sides and so we can say that many triangles are possible.
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Helppp
f(x)=-x^2+6x-18
f(x)=−x
2
+6x−18
\text{Find }f(-3)
Find f(−3)
The equivalent value of the function is x is -3 is -45
Functions and valuesFunctions are written in terms of variables
Given the function shown
f(x)=-x^2+6x-18
In order to determine f(-3), we will substitute x = -3 into the function to have:
f(-3)=-(-3)^2+6(-3)-18
f(-3) = -9 - 18 - 18
f(-3) = -45
Hence the equivalent value of the function is x is -3 is -45
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When solved for c, the equation is c = k – 273.15 c = 273.15 – k c = k 273.15 c = 273.15k
The the equation K = C + 273.15 when solved for c is C = K - 273.15
Change of subject of formulaK = C + 273.15
subtract 273.15 from both sidesK - 273.15 = C
Therefore,
C = K - 273.15
Complete question:
The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.
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Answer:
When solved for C, the equation is
C = K – 273.15
Step-by-step explanation:
How would you write 16,340 in scientific notation with 2 significant figures? 16,300 1.63 x 104 16,000 1.6 x 104
16340 can be written in scientific notation as 1.63 × 10⁴.
What is Scientific Notation?
Scientific Notation is a way of representing large numbers in decimal forms multiplied by the power(exponent) in terms of decimal places. The purpose of representing large numbers in scientific notation is to enable easier calculation.
This means that 16,340 in scientific notation can be expressed as:
= 1.634 × 10⁴
= 1.63 × 10⁴ ( to 2 significant figures)
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A rectangle is rotated 360 around the y axis. What figure will this rotation create?
rectangular prism
rectangular pyramid
cylinder
cone
When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.
What figure will give if rectangle is rotated 360 around the y axis?A rectangle is an example of a shape with rotation symmetry. A rectangle can be rotated about its center and it will look exactly the same and be in the same location. The only difference is the location of the named points.
The shape created is a cylinder. Its height will be equal to the length of the side parallel to the axis-of-rotation. Its diameter will be equal to the length of the side perpendicular to the axis-of-rotation.
According to the question
A rectangle is rotated 360 around the y axis.
When a rectangle is rotated in any axis or a line, the figure created by the rotation is a cylinder.
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Evaluate each function at the given value using the remainder theorem.
F(x)=x^4+5x^3-18x+1 at x=-4
Please show work , I give brainliest. :)
Answer:
9
Step-by-step explanation:
[tex]f(x) = x^4 +5x^3 -18x +1\\\\f(-4) = (-4)^4 +5(-4)^3 -18(-4) +1\\\\~~~~~~~~~=256+5(-64)+72+1\\\\~~~~~~~~~=329-320\\\\~~~~~~~~~=9[/tex]
[HELP, DUE TOMORROW. WILL GIVE BRAINLIST] What do exponential functions model in the real world? How does the standard equation form of the exponential equation change in each situation?
Step-by-step explanation:
write the function in module in real where how does standard it's easy how do you have to do is think in your mind and there's follow like if it had some if it have some notes or something like that you could actually read it and then you can get ideas in your head and complete answers and you will get it
2. Rewrite these numerals in words in Nepali as well as in International system. b) 831075280496
Answer:
eight hundred thirty-one billion seventy-five million two hundred eighty thousand four hundred ninety-six
Step-by-step explanation:
According to the ilo, how many people are working by force or under coercion? a. 123,000 b. 1.23 million c. 12.3 million d. 123 million
The number of people are working by force or under coercion stands at about 12.3 million.
What is the ILO?The ILO is the acronym for International Labor Organization. It is the arm of the United Nations that is responsible for seeing to the Welfare of workers globally.
According to current statistics from the International Labor Organization, the number of people are working by force or under coercion stands at about 12.3 million.
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Answer:
c. 12.3 million
got it right on edge)))
Add the following values.
(2.1 × 1014) + (1.5 × 1012)
A.
2.1015 × 1014
B.
2.25 × 1012
C.
2.115 × 1014
D.
2.1015 × 1015
The sum of the numbers is 2.115 * 10^14
How to evaluate the sum?The sum expression is given as:
(2.1 × 10^14) + (1.5 × 10^12)
Express 1.5 as 0.015 * 10^2
(2.1 × 10^14) + (0.015 * 10^2 × 10^12)
Evaluate the product
(2.1 × 10^14) + (0.015 * 10^14)
Factor out 10^14
10^14 *(2.1 + 0.015)
Evaluate the sum
10^14 * 2.115
Rewrite as:
2.115 * 10^14
Hence, the sum of the numbers is 2.115 * 10^14
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Make same exponent
(2.1×10¹⁴)+(0.015×10¹⁴)Use distributive law ab+ac=a(b+c)
(2.1+0.015)×10¹⁴2.115×10¹⁴Option C
Question 3 of 10
10 Points
Write an equation in slope-intercept form of the line that passes through the point
(3,-2) with slope -2.
A.y=-2-2(x-3)
B. y = -2x + 4
Oc.y+2=-2(x-3)
OD. 2x+y-4 = 0
Reset Selection
The equation in slope-intercept form of the line that passes through the point is y = -2x+4 , Option B is the correct answer.
What is the equation of a straight Line ?The equation of a straight line is given by the equation
y= mx+c
Where m is the slope and
c is the intercept on y axis.
The given data is
line passes through the point (3,-2) with slope -2.
m = -2
y = -2x + c
-2 = - 2 * 3 +c
-2 = -6 +c
c = +4
y = -2x+4
Therefore Option B is the correct answer.
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Is cos²α the same thing as cosα²?
Answer:
No, it is not the same thing.
Step-by-step explanation:
Hope this helps!
find the distance between the two points in simplest radical form.
(3,-8) and (8,4)
Answer:
13
Step-by-step explanation:
The way to find the distance between two points on the coordinate plane is to use the distance formula, which is basically a way of applying the Pythagorean Theorem.
The distance formula is [tex]\sqrt{(x_{1}- x_{2} )^2 + (y_{1}- y_{2})^2}[/tex]. Let's say the coordinate (3, -8) is (x1, y1) and the coordinate (8, 4) is (x2, y2). We can plug these values into the formula:
[tex]\sqrt{(3- 8 )^2 + (-8 - 4)^2}\\\sqrt{(-5)^{2} + (-12)^{2}} \\\sqrt{25+144} \\\sqrt{169} \\13[/tex]
So, the distance between the two points is 13.
g(x) = x3 + 6x2 + 12x + 8
A 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries negative 1, 0, 8, 64, 125.
Determine the function’s value when x = −1.
The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
How to evaluate the function?The equation of the function is given as:
g(x) = x^3 + 6x^2 + 12x + 8
When x = -1, we have:
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
Evaluate the expression
g(-1) = 1
Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1
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Answer:
g(-1) = 1
Step-by-step explanation: