The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
Use two unit multipliers to convert 145 centimeters to kilometers (show work)
Answer:
0.00145 km or 1.45×\(10^{-3}\) kmStep-by-step explanation:
We know:
1 km = 1000 m1 m = 100 cmConvert cm to km:
1 cm = 1/100 m = 1/100* 1/1000 km = 1/100000 km145 cm = 145/100000 km = 0.00145 km or 1.45×\(10^{-3}\)14) The ratio of green to red gummy bears in a package is 3:7. If there are a total of 80
gummy bears in the package, how many gummy bears are red?
Answer:
There are 56 red gummy bears
Step-by-step explanation:
The ratio of green to red gummy bears is = 3 : 7
Total gummy bears = 80
We need to find how many gummy bears are red?
We can write it as:
3x : 7x
where x is the common ratio.
We can write:
Quantity of Green gummy bears = 3x
Quantity of Red gummy bears = 7x
Total Gummy bears = 80
So, 3x+7x = 80
10x = 80
x = 8
Now, finding quantity of Red gummy bears by putting x = 8
7x = 7(8) = 56
So, There are 56 red gummy bears
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answer:
the answer is b, c, d, a, respectively
Miguel plots points A, B, and C in the coordinate plane.
A. What is the distance between points A and B? Explain your reasoning.
B. Is (gif triangle) ABC an equilateral triangle? Explain your reasoning.
is △ABC equilateral? well, we dunno, however let's check for all sides' length.
\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{2})\qquad B(\stackrel{x_2}{-6}~,~\stackrel{y_2}{-2}) ~\hfill AB=\sqrt{(~~ -6- (-3)~~)^2 + (~~ -2- 2~~)^2} \\\\\\ ~\hfill AB=\sqrt{( -3)^2 + ( -4)^2} \implies AB=\sqrt{ 25 }\implies \boxed{AB=5}\)
\(B(\stackrel{x_1}{-6}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{0}~,~\stackrel{y_2}{-2}) ~\hfill BC=\sqrt{(~~ 0- (-6)~~)^2 + (~~ -2- (-2)~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 6)^2 + ( 0)^2} \implies BC=\sqrt{ 36 }\implies \boxed{BC=6} \\\\\\ C(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad A(\stackrel{x_2}{-3}~,~\stackrel{y_2}{2}) ~\hfill CA=\sqrt{(~~ -3- 0~~)^2 + (~~ 2- (-2)~~)^2} \\\\\\ ~\hfill CA=\sqrt{( -3)^2 + (4)^2} \implies CA=\sqrt{ 25 }\implies \boxed{CA=5}\)
well, not quite.
look at pic 10 pts will mark brainilest zion ihsjzxu
Answer:
36
Step-by-step explanation:
You first solve 6x=72 which you divide 72/6 and get the answer x=12. You then replace x with 12 and do the order of operations. 12-3 then 9x4.
Answer:
Multiply using the distributive property.
B.
Please mark brainliest!
1: CC> Chapter 2: Chapter 2 What You Learned Before > Section Exercises
4
Evaluate the expression when a = and b = 6.
12a +(b-a-4)= ☐
The expression 12a + (b - a - 4) when a = b = 6 is equivalent to 68
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
Given the expression:
= 12a + (b - a - 4)
When a = b = 6, substituting:
= 12(6) + (6 - 6 - 4)
Simplifying:
72 + (-4)
= 72 - 4
= 68
The expression is equivalent to 68
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what is the cost of insurance for a female at 50 as a percentage of the same insurance for a male in his 30s female cost $819.73 the male's rate would be $1,192.64?
m is a negative number.
Which statement is correct?
Choose only one answer.
A. m + 9 is always positive
B. m + 9 is always negative
C. m + 9 cannot be zero
D.m + 9 could be positive or negative or zero
Answer:
D
Step-by-step explanation:
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
Graph the equation. Identify the intercepts.
1.) y + 2 = -4(x - 2)
x-int:
y-int:
For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
y+2=-4(x-2)
for x-intercept=(x,0)
2=-4(x-2)
2=-4x+8
4x=6
x=6/4=3/2
for y-intercept=(0,y)
y+2=-4(*-2)
y=6
The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.
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Select all expressions that are equal to 64 3/2
Answer:
(c)512 because64 times 1.5 equal 512.
Step-by-step explanation:
(c) 512
(b) 8 to the third power
(E) √64 to the third power
all of these equal 512
The equivalent expression to \(64^{3/2\) is 8³, 512 and √64³.
What is exponent and power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
The number of times a number is multiplied by itself is defined by the exponent. A mathematical term called the power illustrates the repeated multiplication of the same integer or factor.
Given:
\(64^{3/2\)
Now, we know that 64 is square of 8.
so, \(64^{3/2\)= \((8^2)^{3/2\)
= 8³
= 512
So, the equivalent expression to \(64^{3/2\) is 8³, 512 and √64³
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The number line below shows information
about a variable, m.
Select all of the following values that m
could take:
-2, 4, -3.5, 0, -5, -7
-5 -4 -3 -2 -1 0 1 2 3 4 5
m
From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5
To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".
Looking at the number line, we can see the following values:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
From this list, the values that "m" could take are:
-2, -3.5, 0, -5
These values are present on the number line, indicating that they are possible values for "m".
Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.
It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.
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solve for x, using the secant lines. 53° 189°
The measure of the arc opposite to 189° is 136°.
What are secant lines?Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.
The measure of the angle opposite to 189° is x.
To solve for x, we can use the property of alternate interior angles.
The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.
Therefore, the two angles formed by the secant lines inside the circle must have the same measure.
Therefore, 53° + x° = 189°.
Subtracting 53° from both sides, we get x° = 136°.
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Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
please help ! 1 & 2 :)
Answer:
first one 401.76, second one 93.96
Step-by-step explanation:
How high would the rent have to be to qualify as an outlier
Answer:
1500+
Step-by-step explanation:
7. During a person's commute to school, she spends 10 minutes driving 30 miles per hour (mph) and 5 minutes stopped at red lights. (a) (1 pt.) Find the distance of her commute.
Answer:
Total distance = 5 miles
Step-by-step explanation:
Given:
Total time for drive = 10 min = 10 / 60 = 1/6 hour
Time for stop = 5 min
Speed = 30 miles pr hour
Find:
Total distance
Computation:
Total distance = Speed × time
Total distance = 30 × (1/6)
Total distance = 5 miles
Zack is 7 years old than lacy. Ronnie is 23.Jane is 15 years younger than Ronnie and 16 years younger than Lacey.how old is lacey
what is 6 inches but less than 1 foot?
There is a stack of logs in the backyard. There are 15 logs in the 1st layer, 14 in the second, 13 in the third, 12 in the fourth, and so on with the last layer having one log. How many logs are in the stack?
I think the answer is 54.
Help please I don’t know how to do this
\(\sqrt[3]{a^2+b^2} = (a^2+b^2)^{\frac{1}{3}}\)
anna's rug has sides lenghts of 4 feet and 9 feet what is the area of anna's rug
Answer:
36 feet :P
Step-by-step explanation:
4x9=36 habe a wonderful day love
Answer:
0.44. ??
Step-by-step explanation:
find ∠ABE, ∠EBD, ∠ABC. im struggling with this PLEASE HELP!!
Considering the given figure the value of the angles are as follows
∠ABE = 19 degrees ∠EBD = 66 degrees∠ABC = 104 degreesHow to find the required anglesinformation given in the problem
ΔABC is isosceles with vertex B,
ΔEBD is isosceles with vertex B,
< ABE ≅ CBD, < BED = 57, < BAE = 38
Isosceles triangle are triangle that two sides and the two base angles equal
This means that
< BAE ≅ < BCD = 38< BED ≅ < BDE = 57< BED + < EBD + < BDE = 180 (sum of angles in a triangle)
< EBD + 57 + 57 = 180
< EBD = 180 - 57 - 57
< EBD = 66 degrees
< ABC + < BAC + < BCA = 180 (sum of angles in a triangle)
< ABC + 38 + 38 = 180
< ABC = 180 - 38 - 38
< ABC = 104 degrees
< ABC = < ABE + < CBD + < EBD
and < ABE ≅ < CBD (given)
say x = < ABE ≅ < CBD
104 = x + x + 66 (adjacent angles)
104 - 66 = 2x
2x = 38
x = 19 degrees
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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what the dog doing ?
The dog is playing with his chew toy!
Answer:
Explanation
Step-by-step explanation:
In general, dogs can run 15-20 mph
humans can run 6-8 mph
You are significantly slower than the dog,
the fastest human is around 27 miles per hour, unfortunately, even if you were this fast
the fastest dog can run 40 miles per hour as an estimate
even house cats can run at 30 mph maximum if they really wanted,
You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).
labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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6.) At a concert, you purchase 4 CD's and a poster for a total cost of $80. The poster cost $12.
Write and solve an equation to find the cost of one CD.
Answer:
17$ per CD equation : 4x + 12 = 80
Step-by-step explanation:
4x + 12 = 80
80 - 12 (poster) = 68
68/4(cds) = 17
Easy math question, giving branliest
Answer:
280
Step-by-step explanation:
10*7*4
answer and stuff it just works
NOT THE IXL . Anywas the answer is 280, hope you got to 100 smartscore lol.