your pretty cool, hmmmm maybe a 9.4/10
Rose decided to buy a photocopy machine that is projected to yield cash savings of RM2,000 per year over a 20 years period. Using a 15% discount rate, calculate the present value of the savings.
(Assume that the cash savings occur at the end of the year)
Answer:
RM832.29
Step-by-step explanation:
Calculate PV Savings
To calculate the present value of the savings, we can use the formula:
PV = cash savings / (1 + r)^t
Where PV is the present value, r is the discount rate, and t is the number of years.
Plugging in the values given in the problem, we get:
PV = RM2,000 / (1 + 0.15)^20
= RM2,000 / 1.15^20
= RM832.29
So the present value of the savings is RM832.29.
Answer: RM25,919.89.
Step-by-step explanation:
The present value of the cash savings is the sum of the present value of each year's cash savings.
To calculate this, the formula for the present value of a single cash flow is used:
Present Value = Future Value / (1 + r)^n
Where r is the discount rate, and n is the number of years.
So, for the first year's cash savings, the present value would be:
PV = 2000 / (1 + 0.15)^1 = 1739.13
For the second year's cash savings, the present value would be:
PV = 2000 / (1 + 0.15)^2 = 1510.71
This can be repeated for the remaining 18 years, and the sum of all the present values is the total present value of the cash savings over 20 years:
Total PV = 1739.13 + 1510.71 + .... + 437.66 = RM25,919.89
Therefore, the present value of the cash savings over 20 years with a 15% discount rate is RM25,919.89.
Give me answer please will give brainliest
Six bottles of water cost £2.10. How much does one bottle of water cost?
Help plz:)))I’ll mark u Brainliest
Answer:
8times 10 times 4 divided by 2 pplus 8 times 8 equals 64 + 80 = 144 m squared
Step-by-step explanation:
Answer:
Step-by-step explanation:
Help
12. A scale model of a cell tower is shown below.
The model was built using a scale in which 2 inches represents 10 feet. What is the actual height of the cell tower?
Answer:
180 ft
Step-by-step explanation:
If the height is 36 inches, and two inches represents 10 feet, then there are 18 sets of ten feet on the actual tower, if that makes sense. That means that the actual tower is 180 feet tall.
please help this is all my points. brainliest, please someone.
Quadrilateral ABCD has coordinates A (−2, 5), B (3, 5), C (3,−1 ), and D (−2,−1).
What is the length of side BC¯¯¯¯¯?
4 units
5 units
6 units
7 units
Answer:
6 units
Step-by-step explanation:
Sqrt((-1-5)^2-(3-3)^2)
A pharmaceutical sales representative makes a base salary of $68.400 per year. In addition, she can earn an annual bonus of up to $20,800 if she meets her prescription targets for the two medications she sells. She receives 60% of the bonus if she meets her target for Medication A, and she receives 40% of the bonus if she meets her target for Medication B. If she only meets her target for Medication A, what would her total compensation (salary plus bonus) be for the year? )
Answer:
If the pharmaceutical sales representative meets her target for Medication A, she will receive 60% of the $20,800 bonus, or $12,480. When added to her base salary of $68,400, her total compensation for the year would be $80,880.
Step-by-step explanation:
Answer:
The total would be 99,620
Step-by-step explanation:
29400*0.80=23520
Add the amount to the base salary
76100+23520=99,620
A sphere is inscribed in a cube with a volume of 8. cubic yards. What is the surface area of the sphere?
Answer:
64
Step-by-step explanation:
The surface area of the sphere is 12.56 yd².
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that a sphere is inscribed in a cube with a volume of 8. cubic yards. We need to find the surface area of the sphere,
Since the sphere is inscribed in the cube therefore the diameter of the sphere is equal to the side length of the cube,
Now, finding the side length of the cube,
We know volume of a cube = side³
Therefore,
side³ = 8
side = 2 yd
Therefore,
Diameter of the sphere = 2 yd
Radius = 1 yd
The surface area of the sphere = 4 × π × radius²
= 4 × 3.14 × 1²
= 12.56
Hence the surface area of the sphere is 12.56 yd²
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IM STUCK ON THIS QUESTION RIGHT NOW OFFERING 10 POINTS plsssss don't guess for points
Answer:
56
Step-by-step explanation:
So you just need to find 7 + what is equal to 63. To find this we have to do inverse operation, which means the opposite operation. So, we do 63-7 which is equal to 56. Therefore, the solution to the equation, or x is equal to 56 (C).
Hope this helps !!
-Ketifa
About 25% of the students in Mr. Goodman's class got an Aon their last math test. Of those, 50% are girls. The class has 12 girls and 16 boys. Is it
reasonable to say 6 girls got an Aon the test?
A No, because 6 is not 25% of 28.
O
B. No, because 6 girls is 50% of all the girls in the class, and not all of the girls got A's.
O
C. Yes, because 50% of 12 is 6.
D
Yes, because more girls than boys got A's.
what is the answer to 10x−10=55
Answer:
6.5
Step-by-step explanation:
10x = 65
x = 65/10
x = 6.5
Answer:
x=6.5
Step-by-step explanation:
So our equation is:
10x-10=55
The first thing we can do to find x is get it alone. We can do this by getting rid of the number value 10:
10x=65
Next we can divide both sides by 10 to get rid of the x value 10, so x is alone:
x=65/10
=
x=6.5
So your answer is 6.5
Hope this helps!
Find the slope of the line through each pair of points.
(4, 18), (4, -11)
Answer:
undefined
Step-by-step explanation:
slope formula:
m =y2-y1 / x2-x1
m= -11-18 / 4-4= -29/0
you cannot divide by zero so the slope is undefined
The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 5 seconds, how far does the jumper fall? (5 points)
400 feet
160 feet
6,400 feet
80 feet
If the amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16. The distance the jumper fall is: A 400 feet.
How to find the distance?Using this formula to find the distance by solving for d
t=√d/q
Where:
t = Time = 5 seconds
d = Distance = ?
q = Quantity = 16
So,
5 seconds=√d/16
d=16x5²
d=16 × 25
d= 400 feet
Therefore we can conclude that the correct option is A.
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The oblique circular cone has an altitude and a diameter of base that are each of length 12 cm. The line segment joining the vertex to the center of the base is the axis of the cone.What is the length (in centimeters) of the axis?
9514 1404 393
Answer:
6√5 ≈ 13.42 cm
Step-by-step explanation:
The axis, a radius, and the edge marked 12 cm together form a right triangle, of which the axis is the hypotenuse. The Pythagorean theorem applies.
6² +12² = axis² = 180
axis = √180 = 6√5 ≈ 13.42 . . . cm
The length of the axis is 6√5 cm, about 13.42 cm.
It is possible none of the choices is the solution?
If I’m wrong, then which one is the correct answer?
Answer:
b is the correct answer!!!
Step-by-step explanation:
7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
[tex] \frac{7 }{4x + 3y} + \frac{4}{4x - 3y} = \frac{5}{4} \\ \frac{8}{4x - 3y} - \frac{14}{4x + 3y} = \frac{3}{2} [/tex]
9514 1404 393
Answer:
(x, y) = (4, 4)
Step-by-step explanation:
If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...
7a +4b = 5/4
8b -14a = 3/2
where a = 1/(4x+3y) and b = 1/(4x-3y)
Dividing the second equation by 2 and adding the first, we have ...
(7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)
8b = 8/4
b = 1/4
Substituting into the first equation gives ...
7a +4/4 = 5/4
a = 1/28
__
Now, we can get back to solving for x and y.
4x +3y = 1/a = 28
4x -3y = 1/b = 4
8x = 32 . . . . . . . . . add the two equations
x = 4
3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange
y = 4 . . . . divide by 3
The solution to the system of equations is (x, y) = (4, 4).
_____
Additional comment
If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.
Can someone tell me the answer?
Answer:
I believe the train arrived at 5:30 am.
Answer:
5:30 AM
Step-by-step explanation:
Add the two times it took to travel together, and add it to 8:55 PM, you'll end up with 5:30 AM
Find x. Simplify completely. 16 4 and x , can someone answer ASAP!!
Answer:X=8
Step-by-step explanation: I just did a exam that answer is x=8 :))
1. The sum of two angles is 85°, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.
On solving the provided question, we can say that - by equation angles will be, x + 5x = 85 => 6x = 85 => x = 14.1666666667
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
let one angle be = x
other angle be 5x
then, x + 5x = 85
6x = 85
x = 14.1666666667
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an altitude is drawn from the vertex of an isosceles triangle forming a right angle and two congruent triangles. as a result, the altitude cuts the base into two equal segments. the length of the altitude is 30 inches, and the length of the base is 10 inches. find the triangles perimeter. round to the nearest tenth of an inch.
The perimeter of the isosceles triangle with altitude 30 inches and base 10 inches is calculated to be 70.82 inches
How to find the perimeter of the isosceles trianglePerimeter of a triangle refers to the surface dimensions, this is calculated by the formula
Perimeter, P = a + b + c
where
a, b, c are sides of the triangle
The third side of the triangle will be calculated using Pythagoras theorem given by the the formula
hypotenuse² = opposite² + adjacent²
The right triangle consist 1/2 the isosceles triangle base = 5 inches and the altitude = 30 inches
plugging the values as in the problem
let x be the required distance
x² = 30² + 5²
x² = 900 + 25
x² = 925
x = √925
x = 30.41 inches
Perimeter of the isosceles triangle
= 30.41 + 30.41 + 10
= 70.82 inches
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At the end of an interview you are offered a job. You would start at 7.50 an hour and work an average of 45 hours a week. At the end of six months with a positive evaluation, your hourly pay would increase to 8. The job pays overtime at a time and a half rate, based on 37 1/2 hour regular work week. What total earrings could you expect to make by working a full year
By working a full year, you may expect to earn a total of $19,646.25 in earrings.
Explain about the expression?This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
An expression, also known as an algebraic expression, is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, the mathematical sign + separates the phrases 4m and 5 from the variable m in the phrase 4m + 5.
Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.
= Total overtime pay of $2,193.75 (first 6 months)
Add the regular and overtime pay after that:
= $7,312.50 + $2,193.75
= $9,506,25 in total income (first 6 months)
$7,800.00totalregularpay(last6months)
Overtime pay:(26weeks in a half year) \=$8\times
7.57.5\times1.51.5\times
$ 26
= Total overtime pay of $2,340.00 (last 6 months)
Add the regular and overtime pay after that:
= $7,800.00 + $2,340.00
= $10,140.00 in total income (last 6 months)
In the end, add the combined earnings from the two half years:
= $9,506.25 + $10,140.00
= Total annual profits of $19,646.25 (expected)
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Please help, thank you
Answer:
9.42
Step-by-step explanation:
Using the law of Sines we get
[tex]a = 14 \times \frac{ \sin(41) }{ \sin(77) } = 9.426[/tex]
The angle (77) was found by subtracting 41 and 62 from 180.
180 - 41 - 62 = 77
Answer:
Chapppppppp kid l Hfhssh
can you pls help me with this?☺️
thank you ☺️
12. MORT
13. MNR
14. SDT
15. MOSR
The average square of toilet paper measures 4.1" x 4.1." If one roll of toilet paper has 329 squares, what is the total area of a complete roll of toilet paper
Answer:
5,530.49[tex]inches^{2}[/tex]
Step-by-step explanation:
4.1x4.1=16.81
16.81x329
What does (AM) represent to segment [BC]? Justify.
AM is a perpendicular bisector of BC.
What is a bisector example?A ray that divides an angle into two equal parts is known as an angle bisector or the bisector of an angle. For instance, each measurement will be equal to 30 degrees if ray AX divides an angle of 60 degrees into two equal parts. There is an angle bisector for each angle.
A line's bisector is defined.To divide a segment or an angle into two congruent parts is to bisect it. The midpoint of a line segment will be traversed by its bisector. A line segment's perpendicular bisector is parallel to the line segment and passes through its midpoint.
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WILL GIVE BRAINLIEST
Find the scale factor
Answer:
Your scale factor would be 2
Step-by-step explanation:
I really hope this helps! :)
Question 2: In a dental clinic with one dentist, the average number of patients from
time to time is 2. What is the dentist's expected idle time each day?
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
Eddie plotted his house on a coordinate plane, along with a few landmarks from his neighborhood.
Which of the following is located 4 blocks east and 5 blocks south of Eddie’s house? A. baseball field B. fountain
6 x 2 x 3 = 36
C. library D. school
Answer:
library
Step-by-step explanation:
Answer:
library
Step-by-step explanation:
Mr. Jensen purchased a condo several years ago at a selling price of $295,420. Recently it
was appraised at a value 36.4% lower than that. What is the value of the condo now?
Roun
Answer:
The value of the condo was appraised at 36.4% lower than the selling price, which means it is now worth 100% - 36.4% = 63.6% of the selling price.
The selling price of the condo was $295,420, so the value of the condo now is $295,420 * 63.6% = $<<295420*0.636=188382.72>>188,382.72.
Therefore, the value of the condo now is $188,382.72.
Step-by-step explanation:
If the volume of the pyramid is 72 cm, what is its height in cm?
4 cm
6 cm
3
9
оооо
12
18
Step-by-step explanation:
[tex]v = 4 \times 6 \times x \\ 72 = 24x \\ x = 3[/tex]
Answer:
9
Step-by-step explanation: