Answer:20579.53
Step-by-step explanation:round it to its hundreth or tenth based on the question or full
Kendrick will pay interest at a monthly rate of 0.7% on a student loan of $6000 for the next 2 years, at which point he will begin making payments. The total number of dollars he will owe in 2 years is 6000(1.007)24. Rewriting the expression 6000(1.007)24 in which of these ways would be useful in calculating the rate of interest he will pay each year?
The ways that would be useful in calculating the rate of interest he will pay each year is: 6000(1.007)^12×2
Rate of interestUsing this formula
Rate of interest=Principal(1+Rate)^nt
Where:
Principal=$6,000
Rate=0.7%
Time=2 years
Number of months =12 months
Let plug in the formula
Rate of interest=6000(1+.007)^12×2
Rate of interest=6000(1.007)^24
Rate of interest=$7,093.47
Therefore the ways that would be useful in calculating the rate of interest he will pay each year is: 6000(1.007)^12×2
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Please help me on this!
Question : For which integer, x, does the value of g(x) begin to exceed the value of f(x) ?
A. 30
B. 29
C. 28
D. 27
ANSWER: B. 29
#learnalways #brainly
Step-by-step explanation:
Hope it's help
Brainliest
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Convert each number from real to scientific notation.
11) 0.00006228
12) 0.00007243
13) 13,760
14) 839.1
15) 0.00006324
16) 0.003136
17) 0.00009435
18) 0.0006437
19) 0.001232
20) 0.007955
Answer:
6.228×10-⁵
7.243 × 10-⁵
1.376 ×10⁴
8.391×10²
6.324×10-⁵
3.136×10-³
9.435×10-⁵
6.437×10-⁴
1.232×10-³
7.955×10-³
Write an equation in slope-intercept form for the line with slope 1/5 and y-intercept - 2. Then graph the line.
Answer:
Slope intercept form: y = 1/5x -2
Step-by-step explanation:
please help!!!
translate the triangle with the vector -4 , 1
The transformation can be defined as the introduction of a new set of mathematical coordinates.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
Given the triangle is needed to be translated by vector <-4,1>, therefore, we need to reduce -4 from all the x-coordinates of the points and add 1 to all the y-coordinates of the points.
Since negative on the x-axis is towards the left, and positive on the y-axis is upwards. Therefore, the translation of the given triangle will be as shown below.
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How many roots does the function have?
f (x) = x^6+ 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x + 7
2
6
21
7
Answer:
21
Step-by-step explanation:
6+5+4+3+2+1=21 and there you g9
Graph the following features
Y-intercept = 2
Slope = -2/5
Answer:
Step-by-step explanation:
-4(8r+3) pls answer
[tex] - 4(8r + 3)[/tex]
solution:[tex] - 4(8r + 3)[/tex]
[tex] = - 32r - 12[/tex]
answer to your question is -32r-12
hope this will help you
5 cm is the diameter 12 cm is the height was is the answer round to the nearest tenth
Answer:
03.97655 that will be there for answers
Simplify.
(A^2)^3+(A^-2)^-2
A. A^2
B. A^10
C. A^24
D. A^6+ A^4
HELP ILL GIVE BRAINLEST
What is the area of this figure?
Enter your answer in the box
Answer:
The area of that figure is 16
Step-by-step explanation:
tell me if im wrong
Help me out yall PLEASE
A box is in the shape of a rectangular prism. kristi is trying to ship boxes of her homemade granola trail mix. the box she is using to ship has the dimensions of 18in by 24in by 12in. each trail mix box has dimensions of 4in by 3in by 3in. how many trail mix boxes will fit into the box to be shipped? explain how you got your answer.
The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.
Volume of a rectangular prism
The volume of a rectangular prism is represented as follows;
volume of rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
volume of the box = 18 × 24 × 12 = 5184 inches³
Therefore, the volume of each trail mix box is as follows:
volume = 4 × 3 × 3 = 36 inches³
Therefore,
number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144
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Answer:
144 (100% correct)
Step-by-step explanation:
To calculate the number of trail mix boxes that will fit into the shipping box, we need to compare the volumes of the two boxes.
First, let's calculate the volume of the shipping box (rectangular prism):
Volume of the shipping box = length * width * height
Volume of the shipping box = 18 in * 24 in * 12 in
Volume of the shipping box = 5184 cubic inches
Next, let's calculate the volume of each trail mix box (rectangular prism):
Volume of each trail mix box = length * width * height
Volume of each trail mix box = 4 in * 3 in * 3 in
Volume of each trail mix box = 36 cubic inches
Now, we divide the volume of the shipping box by the volume of each trail mix box to find the number of trail mix boxes that will fit:
Number of trail mix boxes = Volume of the shipping box / Volume of each trail mix box
Number of trail mix boxes = 5184 cubic inches / 36 cubic inches
Number of trail mix boxes = 144
Therefore, 144 trail mix boxes will fit into the shipping box.( For confirmation to those who need it)
please help!!
-1,-6
1,-2
3,2
write the equations of a liner function that had a y-intercept greater than the function represented in the table and is parallel to the function y+ 1/4x=2
to get the equation of any straight line, we simply need two points off of it, so for the equation in the table, let'use the points in the picture below
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{2+2}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{2}(x-\stackrel{x_1}{1})\implies y+2=2x-2[/tex]
[tex]y=2x\stackrel{\stackrel{b}{\downarrow }}{-4}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so the equation in the table has a y-intercept of -4.
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y+\cfrac{1}{4}x=2\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{4}} x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]
so hmmm we're really looking for an equation whose slope is -1/4 and with a y-intercept greater than -4, hmmm let's recall something, that on the negative side of the number line, the closer to 0, the greater.
that said, on the negative side of the number line -10 is much larger than -1,000,000, because -10 is closer than -1,000,000 to 0, and so on.
so hmmm what's greater than -4? hmm well, heck let's use -2
[tex]y = -\cfrac{1}{4}x - 2[/tex]
Create a word problem that would require the use of equations to solve the problem.
Answer:
Tonya"s tennis Academy charges $25 per hour for lessons plus a $15 registration fee. Gerald spent a total of $290 for lessons. How many hours of lessons (h) did he take? Create an equation to determine the cost of the lessons with number of hours of lessons as the variable. Then substitute what you know and solve for hours of lessons.
its a word problem from wyzant.
Step-by-step explanation:
The charge = $15 + $25h (h represents the number of hours)
$290 = $15 + $25h
$275 = $25h ( subtract $15 from both) sides
11 = h ( divide both sides by $25)
Use the FOIL Method to simplify completely:
(3p+2)(5p - 7)
8p² + 11p - 14
O 15p² + 11p + 14
○15p² – 11p – 14
O 8p² + 11p - 14
Answer:
15p^2 - 11p - 14 (thus answer three is correct)
Step-by-step explanation:
I uploaded an image of how this question is completed for an extended visual. Your welcome and have a great day :))))
(sin (x+y)) / sinxcosy = 1+ cot(x) + tan(y)
Answer:
sin (×+y)/sinx cosy =1+ cotx tany
from trig ratio Sin [x +y] = sinx Cosy + cosx siny
Sinx cosy + cosox siny./Sinx cosy
then check the attachments for further information
which two expressions are equivalent?
a) x+x+x and x³
b) 14x + 10 - 2x and 16x + 10
c) 12x + 16x and 4(3x+4x)
d) 12x² + 5x + 10 and 17x² + 10
NO SPAM ANSWERS.
Answer:
c
Step-by-step explanation:
(4×3x)+(4×4x)=
12x+16x
The question is in the screenshot below.
Answer:
2 19/24
Step-by-step explanation:
Simplify it in whatever whey they ask you to for the answer
Answer:
37/12
Step-by-step explanation:
[tex] \frac{2}{3} \div 2 + ( \frac{3}{4} + \frac{1}{6} ) \div \frac{1}{3 } \\ \frac{2}{3} \div 2 \div \frac{9+ 2}{12} \div \frac{1}{3 } \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{1}{3} +\frac{11}{4} \\ \frac{37}{12} [/tex]
Write the power 4⁴ in repeated multiplication form. Then find the value of the power.
The power in repeated multiplication form is
The value of the power is
The power in repeated multiplication form of 4⁴ is: 4 × 4 × 4 × 4 = 256.
How to Write a Number in Repeated Multiplication Form?To wrote a number in repeated multiplication form, write the base number multiplied as many times as the stated exponents.
Given the number, 4⁴, we have:
4 × 4 × 4 × 4 = 256.
The value of the power of 4⁴ is: 256.
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Answer:
Step-by-step explanation:
4 x 4 x 4 x 4 = 16 x 16 = 256 is the value
4^4 is the power
equation that equal 15
Answer:
15x=225
Step-by-step explanation:
15x=225
x=15
10 + 5 = 15.
14 + 1 = 15
13 + 2 = 15
those are what ik but guy above is more accurate lol
i dont understand this at all, please dont give me an answer i just need someone to explain it to me if so, thank you <3
Answer: Multiply the diameter by Pi, which in school lessons usually just use 3.14
Step-by-step explanation:
So 3.14 multiplied by the diameter of 9.
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Algebra 2!! Which graph represents the following piecewise defined function?
-2x, x <-1
f(x) = -1,-1
x-1, x>2
The graph that defines the following piece-wise function is given by:
f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].What is a piece-wise function?It is a function that has different definitions based on the input.
In this problem, for x less than -1, the function is a line going through points (-1,2) and (-2,4), hence the slope is:
m = 4 - 2/(-2 - (-1)) = -2.
The slope of -2 means that it also passes through (0,0), hence the function is:
y = -2x.
For x between -1(inclusive) and 2(exclusive), it is a constant function at y = -1.
For x equal or greater than 2, the function is a line going through points (2,1) and (4,3), hence the slope is:
m = (3 - 1)/(4 - 2) = 1.
The slope of 1 means that the function passes through (0,-1), hence the function is:
y = x - 1.
Hence the piece-wise function is defined by:
f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].More can be learned about piece-wise functions at https://brainly.com/question/24734454
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Answer:
A
Step-by-step explanation:
Analyze the following table of values.
y=1/2x
y=1/2^x2+4
y=4^x2+1/2
y=4(1/2)x
The table models an exponential relationship, and the equation of the table is [tex]y = 4(1/2)^x[/tex]
How to analyze the table of values?The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
[tex]y = ab^x[/tex]
When x = 0 and y = 4, we have
[tex]ab^0 = 4[/tex]
Evaluate
a = 4
When x = 1 and y = 2, we have
[tex]ab^1 = 2[/tex]
Evaluate
[tex]ab = 2[/tex]
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in [tex]y = ab^x[/tex]
[tex]y = 4(1/2)^x[/tex]
Hence, the equation of the table is [tex]y = 4(1/2)^x[/tex]
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Alice has five cards each with a number on them. Three of the numbers are shown. 3 8 5 ( I found another 5 as the mode is 5) 5 The mode of the five numbers on the cards is 5 The mean of the five numbers on the cards is 6 Work out the range of the five numbers on the cards. You must show your working.
Answer:
last number is 9; range is 3-9
Step-by-step explanation:
since 5 is mode and 6 is mean, the 5 numbers must equal 30(as 30/5 is 6). 3+8+5+5 is 21, meaning last number is 9. therefore, range is 3-9 (largest and smallest)
A letter of the English alphabet is followed by a digit from 0 to 9.
How many different outcomes are in each sample space?
Answer:
260
Step-by-step explanation:
26 letters * 10 digits
bc each letter could be followed by 10 different digits
help me pls :)
it is for revision but i dont understand it...
[tex]\textbf{a)}\\\\3x^2 y^4 \cdot 2x^6 y \\\\=6x^{2+6} \cdot y^{4+1}\\\\=6x^8 y^5\\\\\textbf{b)}\\\\xz^3 \cdot 4x^4 z^5\\\\=4x^{4+1} \cdot z^{3+5}\\\\=4x^5 z^8\\\\\textbf{c)}\\\\4a^3b^2 \cdot 3a^6 b^5 \\\\=12a^{3+6}\cdot b^{2+5}\\\\=12a^9b^7\\\\\textbf{d)}\\\\6s^5t\cdot s^4 t^2\\\\=6s^{5+4} \cdot t^{2+1}\\\\=6s^9t^3[/tex]
98% of 50 is what number
1. We assume, that the number 50 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 50 is 100%, so we can write it down as 50=100%.
4. We know, that x is 98% of the output value, so we can write it down as x=98%.
5. Now we have two simple equations:
1) 50=100%
2) x=98%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
50/x=100%/98%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 98% of 50
50/x=100/98
(50/x)*x=(100/98)*x - we multiply both sides of the equation by x
50=1.02040816327*x - we divide both sides of the equation by (1.02040816327) to get x
50/1.02040816327=x
49=x
x=49
now we have:
98% of 50 = 49Answer:
49
Step-by-step explanation:
It's really quite simple lad. 50 times 98 is equal to 4900. then you just divide 4900 by 100 and you get your answer, 49. 98% is also 98/100, keep that in mind. Better luck next time haha you
which value of m makes the inequality 10m-5<45
Answer:
m < 5
Step-by-step explanation:
10m-5 < 45
Add 5 to both sides
10m - 5 + 5 < 45 + 5
Simplify
10m < 50
Divide both sides by 2
10m/10 < 50/10
Simplify
m < 5
Kavinsky
A diagonal of a cube measures 15 cm and the length of an edge of the cube is V75 cm.
What is the length of the diagonal of a face of the cube? Round to the nearest tenth.
Answer:
the diagonal of a face of the cube = 12.2 (Rounded to the nearest tenth)
Step-by-step explanation:
[tex]\text{diagonal of the cube} =\ \left( \text{edge} \right) \times \sqrt{3}[/tex]
[tex]=\sqrt{75} \times \sqrt{3}[/tex]
[tex]=\sqrt{225}[/tex]
[tex]=15[/tex]
[tex]\text{diagonal of the face} =\left( \text{edge} \right) \times \sqrt{2}[/tex]
[tex]=\sqrt{75} \times \sqrt{2} \\\\=\sqrt{150} \\\\=12.247448713916[/tex]