Answer:
[tex]\boxed{\sf{z < -2}}[/tex]Step-by-step explanation:
To solve for z, isolate it on one side of the equation.
-5z>10First, multiply by -1 from both sides.
⇒ (-5z)(-1)<10(-1)
Solve.
Multiply the numbers from left to right.
⇒ 10(-1)=(-10)
Rewrite the problem down.
⇒ 5z<-10
Then, you divide by 5 from both sides.
⇒ 5z/5<-10/5
Solve.
Divide the numbers from left to right.
⇒ -10/5=-2
[tex]\boxed{\sf{z < -2}}[/tex]
Therefore, the correct answer is z<-2.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
z > -2
Step-by-step explanation:
Given inequality: -5z > 10
To determine the simplified inequality, we need to isolate "z". Divide -5 both sides to isolate the variable "z".
⇒ -5z > 10
⇒ -5z/-5 > 10/-5
Always remember that if you are dividing by a negative number, the inequality sign flips over.
⇒ z < -2
Thus, the simplified inequality is z < -2.
A set of pencils sells for $1.85 and costs $0.60 to make. Twenty percent of
the profit (the difference between the purchase price and the amount it
costs to make) from each set of pencils goes to a school.
If 600 sets are sold, what is the amount of money that will go to the school?
Answer:
i believe its 150
Step-by-step explanation:
B) Calculate the hourly rate Company A pays its employees.
Answer:
200
Step-by-step explanation:
Does anyone know the perimeter and the area of them?
log(3y+2)-1=log(y-4) solve y
[tex]\log_{10} (3y+2) - 1 = \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6[/tex]
14 g of copper was heated from 50°C to 85°C. How much energy was used to heat Cu? (Specific heat capacity of Cu is 0.385 J/g °C)
HELP PLEASE GIVING OUT BRIANLEST TO THE CORRECT ANSWER THANK YOUU
Q = mcΔt
Q = 14 x 0.385 x (85-50)
Q = 161.7 J
1. Find the unknown length of the side labeled x.
Answer:
Step-by-step explanation:
Jim builds a robot that travels no more than 11 feet per minute. Graph the inequality showing the relationship between the distance traveled and the time elapsed.
Is it possible for the robot to travel 26 feet in 3 minutes?
Answer:
the robot can travel 26 feet in 3 minutes
Step-by-step explanation:
The robot goes 11 feet per minute and 11 x 3 equals 33 which is more than 26. 33 < 26
Answer number 1 please. Thank you.
Paul buys snacks for his flight. He compares cashews to yogurt raisins. The cashews weigh 205
grams, and the yogurt raisins weigh 186 grams. What is the difference between the weight of the
cashews and yogurt raisins?
Answer: The difference between the weight of the cashews and yogurt raisins is 19 grams.
Step-by-step explanation:
205-186 = 19 grams
hope this helps!
In a diagram showing two parallel lines cut by a transversal, the measure of two same-side interior angles are both given as 5x°.
Without writing and solving an equation, can you determine the measures of both angles? Explain.
Because same-side interior angles are , and because these two angles are equal, each angle must be one-half of °, or each angle must have a measure of °.
Please help fast I’ll give Brainy
Answer:
See below.
Step-by-step explanation:
Because same-side interior angles are supplementary, and becasue these two angles are equal, each angle must be one-half of 180°, or each angle must have a measure of 90°.
Simplify this exponential expression:
(-49) 2/5
I give Brainliest
Answer:
I thank it is 12 4/5
Step-by-step explanation:
hope this helps if not please let me now and dont worry about brainliest my main focus is just helping people.
Solve the equation for x.
29=x4
Answer:
29/4 or 7.25
Step-by-step explanation:
Simply divide by 4 to isolate and solve for the x-term:
[tex]x=29/4[/tex] or 7.25
The Glitz Jewelry Kit contains round beads in 6 different colors plus 100 star-shaped beads.
There are 250 beads in all.
Answer:
False, it would actually be 106 beads. If this was a multiplication problem, that would also be false, because 6 times 100 is 600, not 350.
But let's attempt to make this statement true.
First/Last step: Find the missing beads.
The missing beads are 144.
Why?
Because you must add 144 to reach 250, there is no other way but to multiply. In this case, because the key word is, "In all" we are adding.
find the area of the semicircle round your answer to the nearest hundredth. 2ft
What is the volume of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth
Answer:
100 cubic centimetres
Step-by-step explanation:
Volume of Cone = 1/3 pie r^2 h
= 1/3 × 3.14 × 4 × 4 × 7
= 117.226
= 100 cubic centimetres ( nearest hundredth)
This is for 25 points please don't spam.
Answer:
D.
Step-by-step explanation:
REarranging the fromula:
F = m . a
M is in grams and acceleration is in meters / second squared
grams . metres per second squared.
Answer:
D) grams · meters per second squared
Step-by-step explanation:
[tex]\sf a=\dfrac{F}{m} \implies F=ma[/tex]
If a has units of [tex]\sf ms^{-2}[/tex]
If m has units of [tex]\sf g[/tex]
Then as F is the product of m and a, then
F has units of [tex]\sf g \cdot ms^{-2}=gms^{-2}[/tex]
Need help please math............
Answer:
[tex]9\frac{52}{69} - 1 \frac{29}{50} [/tex]
[tex] \frac{673}{69} - \frac{79}{50} [/tex]
[tex] \frac{673}{69} to \: the \: nearest \: whole \: number \: is \: 10[/tex]
[tex] \frac{79}{50} to \: the \: nearest \: whole \: number \: is \: 2[/tex]
[tex] > > > 10 - 2 = 8[/tex]
Find the missing measures in this regular hexagon. a regular hexagon has side lengths of 16 inches. the radius is 16 inches. an apothem is shown. the length of the apothem of the hexagon is about inches. the perimeter of the hexagon is inches. the area of the hexagon is about square inches.
The apothem, perimeter, and area of the hexagon are 13.86 inches, 96 inches, and 665.11 square inches respectively.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular hexagon has side lengths of 16 inches. the radius is 16 inches.
The length of the apothem (h) of the hexagon is about inches.
[tex]\rm h = 16\times \sin 60^o\\\\h = 13.8564 \approx 13.86 \ inches[/tex]
The perimeter of the hexagon is inches.
[tex]\rm Perimeter = 6 \times 16\\\\Perimeter = 96\ inches[/tex]
The area of the hexagon is about square inches.
[tex]\rm Area = 6 \times \dfrac{1}{2} \times 13.86 \times 16\\\\Area = 665.1075 \approx 665.11 \ inches^2[/tex]
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Answer:
Step-by-step explanation:
The length of the apothem of the hexagon is about
✔ 13.9
inches.
The perimeter of the hexagon is
✔ 96.0
inches.
The area of the hexagon is about
✔ 667.2
square inches.
PLEEEEEAAAASEEE HELPPPPPP
simplify the polynomial
3a(6a^2-4ab^2)+8a^2b^2-2b^3
Answer:
Simplified: -4a²b²+18a³-2b³
3a(6a²-4ab²)+8a²b²-2b³
Multiply 3a by 6a² and-4ab²
18a³-12a²b²+8a²b²-2b³
combine like terms (-12a²b² and 8a²b²)
-4a²b²+18a³-2b³
Hope this helps
Step-by-step explanation:
Here we have to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad3a(6a^2-4ab^2)+8a^2b^2-2b^3\\ \\[/tex]
Using Distributive property we get :
[tex]\longrightarrow \sf \qquad18a^3- {12}^{2} b^2+8a^2b^2-2b^3\\ \\[/tex]
Combining the like terms we get :
[tex]\longrightarrow \sf \qquad18a^3-4a^2b^2-2b^3\\ \\[/tex]
Therefore,
The Simplified expression is [tex] \sf 18^3-4a^2b^2-2b^3[/tex]Expand & simplify
6
(
2
a
+
4
)
−
4
(
3
a
−
4
)
Answer:
6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40
2x8 - (29x34)+ 38-12 (4x960)=
What is the system of linear equations for the following graph? Please just list the two equations
The equation of the blue line is y = 7x - 8 and the equation of the red line is y = -2x + 2
How to write a linear equationEquations are written as a function of two or more variables with input and output.
The standard linear equation is given in the form y = mx + b
m is the slope
b is the y-intercept
For the red line, the y-intecept is 2
Using the coordinate point on the red line (0,2) and (1, 0)
Slope = -2/1
Slope = -2
Equation of the red line is y = -2x + 2
For the blue line, we will use the coordinate points (2, 6) and (1, -1)
m = -7/-1
m = 7
-1 = 7(1) + b
-1 - 7 = b
b = -8
Hence the equation of the blue line is y = 7x - 8
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An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84. the investor sells these shares when the net asset value is $43.19 and the offer price is $43.56. determine the amount of profit the investor earns. a. $9,576 b. $9,488 c. $9,428 d. $9,340 please select the best answer from the choices provided a b c d
The amount of profit the investor earns is 9340 dollars. Then the correct option is D.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.
The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.
Then total cost price of the shares will be
→ 19.84 × 400 = $7936
The total selling price of the shares will be
→ 43.19 × 400 = $17,276
Then the profit is the difference between the total cost price of shares and the total selling price of the shares.
→ 17276 - 7936 = $ 9340
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Find the angle marked y in the figure below
Answer: 75 degrees
Step-by-step explanation:
A 5-year project will require an investment of $100 million. this comprises of plant andmachinery worth $80 million and a net working capital of $20 million. the entire outlay willbe incurred at the project’s commencement.financing for the project has been arranged as follows:80,000 new common shares are issued, the market price of which is $500 per share. theseshares will offer a dividend of $4 per share in year 1, which is expected to grow at a rate of 9%per year for an indefinite tenure.remaining funds are borrowed by issuing 5-year, 9% semi-annual bonds, each bond having aface value of $1,000. these bonds now have a market value of $1,150 each.at the end of 5 years, fixed assets will fetch a net salvage value of $30 million, whereas the networking capital will be liquidated at its book value.the project is expected to increase revenues of the firm by $120 million per year. expenses,other than depreciation, interest and tax, will amount to $80 million per year. the firm is subjectto a tax rate of 30%plant and machinery will be depreciated at the rate of 25% per year as per the written-downvalue method.you are required to:1. compute the cost of equity for this project (2 marks)2. compute the relevant cost of debt for this project. (2 marks)3. compute the wacc (4 marks)4. determine the initial cash flow for the project. (1 mark)5. determine the earnings before taxes for years 1 through 5 (2 marks)6. compute the ocf for years 1 through 5 (3 marks)
Answer:
1. The cost of equity can be derived from the share price, which is the present value of the expected dividend one year from now(using the present value of growing perpetuity) as shown below:
share price=D1/(r-g)
share price=$500
D1=expected dividend one year from now=$4
r=cost of equity=unknown
g=constant growth rate=9%
$500=$4/(r-9%)
$500*(r-9%)=$4
r-9%=$4/$500
r=($4/$500)+9%
r=9.8
the Cost of Equity for the project is 9.8%
2. Compute the relevant cost of debt for this project is 5.53%
Market Value= 1,150
Face Value= 1,000
Term= 5 years, 10 semi-annual periods
Coupon Rate= 9%, 4.5% semi-annual rate
Tax Rate= 30%
N=10(semiannual coupons in 5 years)
PMT=45(semiannual coupon=face value*coupon rate/2=$1000*9%/2=$45)
PV=-1150(current market price)
FV=1000(face value of the bond is $1,000)
CPT(press compute)
I/Y=2.762766%(semiannual yield)
annual yield=2.762766%*2
annual yield=5.53%
3. The weighted average cost of capital is the sum of equity and the after-tax cost of debt multiplied by their respective market value weights
WACC=(cost of equity*weight of equity)+(after-tax cost of debt*weight of debt)
cost of equity=9.80%
the market value of equity raised=shares issued*market price of the share
the market value of equity raised=80,000*$500
the market value of equity raised=$40 million
weight of equity=market value of equity/total amount raised
weight of equity=$40 million/$100 million
weight of equity=40.00%
weight of debt=1-weight of equity
weight of debt=1-40.00%
weight of debt=60.00%
after-tax cost of debt=bond yield*(1-tax rate)
the after-tax cost of debt=5.53%*(1-30% )
the after-tax cost of debt=3.87%
WACC=(9.80%*40.00%)+(3.87%*60.00%)
WACC= 6.2426% or 6.24%
Therefore the WACC is 6.2426% or 6.24% rounded off to 2decimal place
4. Determine the initial cash flow for the project =$100 million
The initial cash outlay is the sum of the plant and machinery and net working capital investment required to commence the project
Plant and machinery= $80 million
Networking capital = $20 million
Total Initial Cash Flow= $100 million
5. Determine the earnings before taxes for years 1 through 5
Year
1 2 3 4 5
Revenue
120,000,000 120,000,000 120,000,000 120,000,000 120,000,000
Expenses
(80,000,000) (80,000,000) (80,000,000) (80,000,000) (80,000,000)
Depreciation (20,000,000) (15,000,000) (11,250,000) (8,437,500) (6,328,125)
EBT
20,000,000 25,000,000 28,750,000 31,562,500 33,671,875
Step-by-step explanation:
5. Depreciation schedule:
Year 1 = 80 × 25% = 20
Year 2 = (80-20) × 25% = 15
Year 3 = (80-20-15) × 25% = 11.25
Year 4 = (80-20-15-11.25) × 25% = 8.4375
Year 5 = (80-20-15-11.25-8.4375) × 25% = 6.328125
EBT = revenue - Expenses - depreciation
Year 1 = 120 - 80 - 20 = 20 Million
Year 2 = 120-80- 15 = 25 Million
Year 3 = 120-80- 11.25 = 28.75 Million
Year 4 = 120-80- 8.4375 = 31.5625 Million
Year 5 = 120-80- 6.328125 = 33.671875Million
The cost of equity of the project through the use of Gordan's formula will be 9.87%.
How to compute the cost of equity?It should be noted that the price of stock is computed thus:
= Previous dividend + Growth / Cost of equity - Growth
Po = Do + g/Ke - g
500 = 4 + 9%/Ke - 9%
500 = 4 + (0.09 × 4) / Ke - 9%
500 = 4.36/Ke - 9%
500(Ke - 9%) = 4.36
500Ke = 4.36 + 45
500Ke = 49.36
Ke = 49.36/500
Ke = 9.87%
The cost of debt will be:
= Interest rate (1 - Tax rate)
= 9% × (1 - 30%)
= 9% × 0.7
= 6.30%
The amount of the cost of debt will be:
= $1000 × 6.30%
= $63.00
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I need the vocab word for problems 5-8
Answer:
5. Foci, 6. eccentricity, 7. Center, 8. HyperbolaStep-by-step explanation:
Below statements include the required information or property
5. An ellipse is "the set of all points in a plane such that the sum of the distances from two fixed points (foci) is constant".6. In an ellipse, the ratio c/a is called the eccentricity and is denoted by the letter e . Eccentricity measures the elongation of an ellipse. The closer e is to 0, the more an ellipse looks like a circle.7. A circle is a set of all points in a plane that are all an equal distance from a single point, the center.8. Hyperbolas have a center and two foci, but they do not form closed figures like ellipseswhich angles are congruent in the isosceles triangle
Answer:
angle CAB and angle BCA
Step-by-step explanation:
Hope this helps! Have a great day!!
Answer number 16 please thank you
help me please! THis is the last one i need hurry!!!!!!!!
Answer:
900 in^2
Step-by-step explanation:
Triangle area = ( b x h )/ 2
rectangle area = b x h
------------------------------------------
triangle:
30 * 40 / 2 = 600 in^2
rectangle:
30 * 20/2 = 300 in^2
---------------------------------------
600 + 300 = 900 in^2
The lifetime of a certain type of light bulb can be approximated by a normal distribution. The list
gives the number of days a bulb can last for 10 light bulbs selected at random. Find the mean and
standard deviation of the data set. Then sketch a normal curve to represent the distribution.
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
The standard deviation of the dataset is the square root of the variance
The mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
How to determine the mean?The dataset is given as;
25, 24, 32, 16, 22, 34. 19. 27, 18, 29
Calculate the mean using:
μ = Sum/Count
So, we have:
μ = (25+ 24+ 32+ 16+ 22+ 34+ 19+ 27+ 18+ 29)/10
Evaluate
μ = 24.6
How to determine the standard deviation?The standard deviation is then calculated using:
[tex]\sigma =\sqrt{ \frac{\sum(x - \mu)^2}{n}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{(25 - 24.6)^2 + .................. + (27- 24.6)^2 + (18- 24.6)^2 + (29- 24.6)^2}{10}}[/tex]
Evaluate
[tex]\sigma = \sqrt{32.44}[/tex]
Evaluate the square root
[tex]\sigma = 5.70[/tex]
Hence, the mean and the standard deviation of the dataset are 24.6 and 5.70, respectively
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