Answer:
6.67%
Step-by-step explanation:
By question I borrow $1000 for 3 years and I owe $200 interest . We can use the formula of Simple Interest as ,
[tex]\implies SI =\dfrac{ P*R*T}{100}[/tex]
Plug in the values .[tex]\implies \$200 =\dfrac{3*\$1000*R }{100}\\\\\implies R = \dfrac{ \$ 200 * 100}{3*\$ 1000} \\\\\implies\underline{\underline{ R = 6.67 \%}} [/tex]
A line passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3
Answer:
y= -(1/6)x -2
Step-by-step explanation:
We know:
y= mx +b is the general equation of the line
Was given:
y= 6x +3, has the slope m=6
Find the equation of the line
y= -(1/6)x + b, perpendicular lines have their slope negative reciprocal m=-1/6
Find the y-intercept that is b
for point (x=12, y= -4) the equation of our line becomes
-4 = -(1/6)(12) + b, multiply a fraction and a number (a/b)*c = ab/c
-4 = -12/6 +b, simplify the fraction
-4 = -2 + b , add 2 to both sides
-4+2 = -2+2 +b , solve for b
-2 = b
The equation of the line that passes through the point (12,-4) and is perpendicular to the line with the equation y=6x +3 is :
y= -(1/6)x -2
solve 8x=5x+3 pls pls pls
Answer:
x = 1
Step-by-step explanation:
8x = 5x + 3
Subtract 5x from both sides
8x - 5x = 5x - 5x + 3
Simplify
3x = 3
Divide both sides by 3
3x/3 = 3/3
Simplify
x = 1
I need help with 4 x (7 - 3) please show your work
Answer: 16
Step-by-step explanation:
Take ( 7 - 3 ) and subtract 3 from 7, which gives you 4, then take 4 and multiply it by 4, ( 4x4 ) which gives you 16.
Answer:
16
Step-by-step explanation:
4 * (7 - 3)
Parentheses first
4*(4)
Then multiply
16
Please help will give brainliest
Complete the equation describing how
x and y are related.
X
0
1
2
3
4
у
-6
-10
-14
- 18
-22
y = [ ? ]x + [ ]
Enter the answer that belongs in [?].
Answer:
-6
Step-by-step explanation:
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The y intercept is the value when x = 0
The y value is -6 when the x value is 0
y = -4x+ (-6)
What is the reciprocal of 0.025 (not -0.025)
Answer:
1000/25 or 40
Step-by-step explanation:
~ A reciprocal is the fraction's reverse
For example 2/3=3/2
.025 is also 25/1000
The reverse of 25/1000 is 1000/25
Simplified into 40 wholes
1000/25 is the reciprocal of 0.025
What is Fraction?A fraction represents a part of a whole.
Given,
Decimal value is 0.025
Zero point zero two five.
Firstly let us convert this to the fraction form.
When twenty five is divided by thousand we get 0.025
25/1000=0.025
So the fraction is 25/1000.
Now we need to find the reciprocal of fraction 25/1000.
Reciprocal means the numerator changes to denominator and denominator changes to numerator.
So 25/1000 reciprocal is 1000/25
Hence, 1000/25 is the reciprocal of 0.025
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PLease Help! I will give you the brainiest and a lot of points
A survey of 104 college students was taken to determine the musical styles they liked. Of those, 22 students listened to rock, 23 to classical, and 24 to jazz. Also, 10 students listened to rock and jazz, 8 to rock and classical, and 8 to classical and jazz. Finally, 6 students listened to all three musical styles. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions.
a. How many listened to only rock music?
n(only rock)
b. How many listened to classical and jazz, but not rock?
n(classical and jazz, not rock)
c. How many listened to classical or jazz, but not rock?
n(classical or jazz, not rock)
d. How many listened to music in exactly one of the musical styles?
n(exactly one style)
e. How many listened to music in exactly two of the musical styles?
n(exactly two styles)
f. How many did not listen to any of the musical styles?
n(none)
Answer:
A. 22
B. 8
C. 23 + 24
D. 22 + 23 + 24
E. 8 + 8 + 10
F. 104 - (sum of all the given numbers) = 3
the sum of 2 numbers is 18 and there difference is 6
Answer:
The two numbers are 6 and 12.
Step-by-step explanation:
So, let's start off, with x+y = 18 and x-y = 6.
Algebraically, we can add the above two equation sets, and we find out that 2x = 24, so x = 12. And then, it says the other number must be 6.
You start with a number that when added to the second number you will get 18 and when you subtract the second number from the first you will get 6. The difference between the above two results is 12.
So that difference of 12 is twice the second number; that means the second number is 6. And then using either of the given pieces of information, you can find that the first number is 12.
------------------------------------------------------
In conclusion:
6 + 12 = 18
12 - 18 = 6
Question 14(Multiple Choice Worth 5 points)
Find all polar coordinates of point P where P = negative pi divided by 6.
(1, negative pi divided by 6 + (2n + 1)π) or (-1, negative pi divided by 6 + 2nπ)
(1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + 2nπ)
(1, negative pi divided by 6 + 2nπ) or (1, pi divided by 6 + (2n + 1)π)
(1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + (2n + 1)π)
Answer:
Find all polar coordinates of point P where P = (5 , -pi+%2F6 ).
There are two sets of possibilities.
(1) Same (positive) magnitude and an angle that is the same as the given angle, or differs from the given angle by an even multiple of pi:
P = (5, -pi%2F6%2B2n%2Api )
(2) Opposite (negative) magnitude and an angle that differs from the given angle by an odd multiple of pi:
(-5, -pi%2F6%2B%282n%2B1%29pi)
answer is: (5,-pi%2F6+%2B+2n%2Api) or (-5, -pi%2F6%2B%282n%2B1%29pi)
Answer:
negative pi divided by 6 + (2n + 1)π) or (-1, negative
87.26+(-25.6)+(-5.4)
Answer:
= 87.26 + (-25.6) + (-5.4)
=87.26- 25.6 - 5.4
= 87.26 - 31
= 56.26
✌✌✌✌✌
solve: x^2-x-12÷x+5 ≥ 0
Answer:
Step-by-step explanation:
x3−x2+5x−12
x
≥0
Let's find the critical points of the inequality.
x3−x2+5x−12
x
=0
x3−x2+5x−12=0(Multiply both sides by x)
(Use cubic formula)
x=1.836169
Check possible critical points.
x=1.836169(Works in original equation)
Critical points:
x=1.836169(Makes both sides equal)
x=0(Makes left denominator equal to 0)
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<0(Works in original inequality)
0<x≤1.836169(Doesn't work in original inequality)
x≥1.836169(Works in original inequality)
Answer:
x<0 or x≥1.836169
Brenna went to the mall with her mom. They started shopping at 4:47 P.M. First, they spent 26 minutes in the shoe store. Then they spent 1 hour and 13 minutes shopping for a dress for Brenna. Finally, they spent 1 hour and 2 minutes eating dinner at the food court. What time was it when Brenna and her mom finished eating dinner?
Brenna and her mom finished eating dinner at 7:28 PM
They started shopping at 4:47 PM, and spent 26 minutes in the shoe store.
4:47 + 26 = 5:13 PM
They spent another 1 hour and 13 minutes shopping for a dress.
5:13 + 1 hr 13 min = 6:26 PM
Finally, they spent 1 hour and 2 minutes eating dinner at the food court.
6:26 + 1 hr 2 min = 7:28 PM
Hope this helps :)
A motorboat travels 189 kilometers in 3 hours going upstream and 475 kilometers in 5 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Answer:
boat speed 79 kph
stream speed 16kph
Step-by-step explanation:
Let v be the still water velocity
Let s be the stream velocity
3(v - s) = 189
3v - 3s = 189
v - s = 63
v = 63 + s
5(v + s) = 475
5v + 5s = 475
5(63 + s) + 5s = 475
315 + 5s + 5s = 475
10s = 160
s = 16 km/hr
v = 63 + 16
v = 79 km/hr
solve for x please help (show work!)
Answer:
x = 1/2 or 0.5
Step-by-step explanation:
8(-2x + 1) = 0
Distribute the 8 by multiplying 8 by what's inside of the parenthesis (-2x and 1)
8 * -2x = -16x
8 * 1 = 8
We now have
-16x + 8 = 0
Subtract 8 from both sides
-16x + 8 - 8 = 0 - 8
-16x = -8
Divide both sides by -16
-16x/-16 = -8/-16
x = 1/2
8( -2x + 1 ) = 0
S O L U T I O N :8( -2x + 1 ) = 0Simplify the left hand side
-16x + 8 = 0Transposing -16x to the other side
8 = 16xCross multiplying we get
x = 8/16x = ½x = 0.5Hence the value of x is 0.5 or ½
Find the missing side of the triangle
Answer:
approximately 12.7
Step-by-step explanation:
using phythagoras rule,
hyp²=opp²+ adj²
15²=x² + 8²
225=x² + 64
x²=225 - 64
x²= 161
x=12.7
OR
sin ø= 8/15
sin ø=0.53333333
ø=sin(inverse) of 0.53333333
ø=0.563⁰
therefore angle opposite 8 is 0.563
tan 0.563= 8/x
x tan 0.563=8
x= 8/tan 0.563
x= 12.7
Need answers in 2 minutes ASAP
What is the missing digit?
820,107
– 65□,084
167,023
Mia wants to buy 3 notebooks for $1.29 each. What is the expression for the total cost?
Step-by-step explanation:
Mia want to buy 3 notebook for $1.29 each ,
then total cost =3×1.29
hence, 3×29
1\6+1/12+2/6=2+1+4/12
=7/12
Kane's Furniture Store advertised a table at 9% discount. The original selling price was $109, and the sale price was $100. Was the sale price consistent with the ad? Explain.
Answer:
No, the sale price wasn't consistent with the ad
Step-by-step explanation:
The original selling price is 109. 9% of 109 is 9.81. So the sale price should be 99.19.
domain of function y=|x|
Answer:
All real number
Step-by-step explanation:
The graph of y = x is shown to the right. We can see that it is defined for all x-values because the line will continue to infinity. Thus, the domain of y = x is all real numbers.
Hope this help <3
What is the
range of the function in the graph?
Answer:
Step-by-step explanation:
A resposta é a letra a
find coordinate of a point on x axis which is at a distance of 5 units from (5,4)
Step-by-step explanation:
Hi there!
Please see attached picture for your answer.
Hope it helps!
Please help it’s due today
Answer:
67 degrees
Step-by-step explanation:
23 + 90 = 113
180 - 113 = 67
Se o preço de 8 potes de nutella é 288 reais, qual e o preço se 5 potes de Nutella
An asset's book value is $43,200 on January 1, Year 6. The asset is being depreciated $600 per month using the straight-line
method. Assuming the asset is sold on July 1, Year 7 for $29,400, the company should record:
Assuming the asset is sold on July 1, Year 7 for $29,400, the company should record the asset's value as equal to $32,400.
The book value of the asset on January 1, Year 6 was $43,200.The asset is being depreciated at $600 per month using the straight-line method.The asset was sold on July 1, Year 7 for $29,400.The amount of time elapsed until the asset is sold is 18 months.The time elapsed can be considered as the "x-coordinate".The asset's value can be considered as the "y-coordinate".The rate of depreciation can be considered as the slope of the line.The equation formed from the given data is given below :(y-y1) = m(x-x1)y-43,200 = (-600)(18)y = 43,200-10,800y = 32,400To learn more about equations, visit :
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Three numbers form an arithmetic sequence whose
common difference is 3. If the first number is
increased by 1, the second increased by 6, and
the third increased by 19, the resulting three
numbers form a geometric sequence. Determine
the original three numbers.
Let x be the first number in the sequence. Then the first three numbers are
{x, x + 3, x + 6}
The next sentence says that the sequence
{x + 1, x + 9, x + 25}
is geometric, which means there is some fixed number r for which
x + 9 = r (x + 1)
x + 25 = r (x + 9)
Solve for r :
r = (x + 9)/(x + 1) = (x + 25)/(x + 9)
Solve for x :
(x + 9)² = (x + 25) (x + 1)
x ² + 18x + 81 = x ² + 26x + 25
8x = 56
x = 7
Then the three numbers are
{7, 10, 13}
Please Help Polygons
Step-by-step explanation:
5.25....................
Find each question solutions.Please
Answer:
Dependent variable = Total daily cost
Independent variable = number of items manufactured
2500 ;
9750
Step-by-step explanation:
Given the cost function in. A manufacturing company :
C(x) = 7.25x + 2500 ; Where
C(x) = total daily cost
x = number of items manufactured
The Independent variable is the variable whose value causes a change in the measured variable, this is the number of items manufactured, and the variable which charges as the predictor variable charges is the dependent variable (Total daily cost).
2.)
C(0) ;
C(x) = 7.25x + 2500
Put x = 0
C(0) = 7.25(0) + 2500
Cost = 2500
This is the total daily cost even if no items are produced, this is probably the fixed cost of daily production.
3.)
C(1000)
C(x) = 7.25x + 2500
Put x = 1000
C(0) = 7.25(1000) + 2500
Cost = 7250 + 2500
Cost = 9750
This is the total cost including variable cost of producing 1000 items.
What will be the value of median of a moderately asymmetrical distribution? If the mean and mode are 30 and 24 respectively.
The mean, the median and the mode are measures of central tendency, and they are related in some many ways, depending on the type of distribution.
The median of the moderately asymmetrical distribution is 26
The given parameters are:
[tex]Mean = 30[/tex]
[tex]Mode = 24[/tex]
For a moderately asymmetrical distribution, the mean, median and mode are related by the following equation:
[tex]Mode = 3 * Median - 2 * Mean[/tex]
Substitute known values
[tex]30= 3 * Median - 2 * 24[/tex]
[tex]30= 3 * Median - 48[/tex]
Collect like terms
[tex]3 * Median =30+ 48[/tex]
[tex]3 * Median =78[/tex]
Divide both sides by 3
[tex]Median =26[/tex]
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Show Work! A warehouse worker shipped 289 boxes of notebooks. Each box contained 36 notebooks. What was the total number of notebooks shipped?
(A) 2, 601
(B) 9, 404
(C) 10, 404
(D) 10, 413
Answer:
(c) 10, 404.
Step-by-step explanation:
Step 1.
To multiply 289 by 36, set them up as shown by arranging the two numbers in columns. We usually put the number with the smaller number of digits at the bottom.
Step 2.
Firstly, work out 6 × 289. The smaller figures in green are the tens figures carried over. Working from right to left:
6 × 9 = 54
Put the 4 in the appropriate column and carry the 5.
6 × 8 + 5(carried) = 53
Put the 3 in the appropriate column and carry the 5.
6 × 2 + 5(carried) = 17
Put the 7 in the appropriate column and carry the 1.
Step 3.
Lastly, work out 30 × 289.
This can be written as 3 × 289 × 10.
Because we are multiplying by 10, we place 1 zero to the right and then work out 3 × 289.
3 × 9 = 27
Put the 7 in the appropriate column and carry the 2.
3 × 8 + 2(carried) = 26
Put the 6 in the appropriate column and carry the 2.
3 × 2 + 2(carried) = 8
Step 4. Finally, the 2 rows are added together starting at the right. The smaller figures in green are the tens figures carried over.
0 + 4 = 4
7 + 3 = 10
Put the 0 in the appropriate column and carry the 1.
6 + 7 + 1(carried) = 14
Put the 4 in the appropriate column and carry the 1.
8 + 1 + 1(carried) = 10
Put the 0 in the appropriate column and carry the 1.
1 (carried) = 1
So: 289 × 36 = 10404
Mathematics done on paper should look something like this; ( Did the best I can on PC)
2 8 9
................. 3....6....×
1 7 3 4
1 5 5
8 6 7 0
....... 2......2.........
1 0 4 0 4
1 1 1
Hope this helped!
Compare 8/3 and 19/8.
Answer:
8/3 > 19/8
Step-by-step explanation:
Get a common denominator
8/3 *8/8 = 64/24
19/8 *3/3 =57/24
Comparing the numerators
64>57
8/3 > 19/8
