Please help me answer 5 and 6 I will mark you brainlst :)
Answer:
5. x=50 y= 150 z=30
6. x=3
Step-by-step explanation:
Sarah Warren currently holds 400 shares of Nutri-Foods. The firm has 40,000 shares outstanding. The firm most recently had earnings available for common stockholders of $80,000, and its stock has been selling for $22 per share. The firm intends to retain its earnings and pay a 10% stock dividend. a. How much does the firm currently earn per share? a. How much does the firm currently earn per share?
pay a 10% stock dividend means that the firm will increase the shares 10% (1 share per each 10).
The earns per share after the stock dividend will decrease, as the number of shares increase.
If the firm has 40000 shares after the stock dividend will have: 44000 shares.
\(40000\cdot\frac{1}{10}=4000\)\(40000+4000=44000\)Then, the price per share gets adjusted in proportion to the stock dividend:
The price per share decreases 10%
The 10% of $22 is: $2.2
\(22\cdot\frac{10}{100}=2.2\)\(22-2.2=19.8\approx20\)Then, the firm will earn approx. $20 per share after the stock dividend.A bicycle has a listed price of $646.95 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
sm
Answer:
$703.558125
Step-by-step explanation:
56.608125 + 646.95= $703.558125
There are a total of 114 oak and pine trees on a piece of land. There are 26 fewer oak trees than pine trees. There is a regulation that the number of oak troos on this piece of land cannot exceed one-third of the total number of trees. Find how many oak and pine trees are on this piece of land and determine whether the solution is viable or nonviable A. There are 35 oak trees and 78 pine trees. The solution is viable. B. There are 35 oak trees and 78 pine trees. The solution is nonviable. C. There are 42 oak trees and 70 pine trees. The solution is nonviable D. There are 44 oak trees and 70 pine trees. The solution is viable
Answer:
c
Step-by-step explanation:
Answer:
There are 42 oak trees and 70 pine trees. The solution is nonviable.
Step-by-step explanation:
:)
Question is in the image
Answer: y = 40
Step-by-step explanation:
8*5+=40 the propotion is K>1 and its 5 hope this helped
Can someone help me solve this and explain step by step algebraically
1/8x+1/4y=2
Answer:
\(x=16-2y\)
Step-by-step explanation:
\(\mathrm{Subtract\:}\frac{1}{4}y\mathrm{\:from\:both\:sides}\)
\(\frac{1}{8}x+\frac{1}{4}y-\frac{1}{4}y=2-\frac{1}{4}y\)
\(\mathrm{Simplify}\)
\(\frac{1}{8}x=2-\frac{1}{4}y\)
\(\mathrm{Multiply\:both\:sides\:by\:}8\)
\(8\cdot \frac{1}{8}x=8\cdot \:2-8\cdot \frac{1}{4}y\)
\(\mathrm{Simplify}\)
\(x=16-2y\)
Final Answer: \(x=16-2y\)
On a map, San Francisco, Las Vegas, and Los Angeles form a triangle whose sides areshown in the figure below. The actual distance from Los Angeles to Las Vegas is270 miles. Find the actual distance from San Francisco to Las Vegas.
Solution:
Given:
From the image, Los Angeles to Las Vegas = 1.0"
The actual distance from Los Angeles to Las Vegas = 270 miles.
Hence, the scale that can be used to relate the image and actual distances is;
\(1.0^{\prime}^{\prime}=270miles\)From the image, San Francisco to Las Vegas = 2.1"
Thus, using the scale, the actual distance from San Francisco to Las Vegas will be;
\(\begin{gathered} 1.0^{\prime}^{\prime}=270miles \\ 2.1^{\prime}^{\prime}=270\times2.1 \\ =567miles \end{gathered}\)Therefore, the actual distance from San Francisco to Las Vegas is 567 miles.
Please help me solve this problem
What is the area of a regular pentagon with an 8-cm
apothem and 11.6-cm sides?
✓
Sub
Answer:
232.5 cm²
Step-by-step explanation:
232.5
The required area of the regular pentagon with an 8-cm apothem and 11.6-cm sides is 232 cm².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
To find the area of a regular pentagon, we can use the formula:
Area = (1/2) x Apothem x Perimeter
where Apothem is the distance from the center of the pentagon to the midpoint of any side, and Perimeter is the sum of the lengths of all the sides.
In this case, the apothem is given as 8 cm, and the length of each side is given as 11.6 cm.
To find the perimeter, we can simply multiply the length of one side by 5:
Perimeter = 5 x 11.6 cm = 58 cm
Now, we can plug in these values into the formula:
Area = (1/2) x 8 cm x 58 cm
Area = 232 cm²
Therefore, the area of the regular pentagon with an 8-cm apothem and 11.6-cm sides is 232 cm².
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OMG PLEASE I BEG I NEED HELP 5th grade math
Answer: A
Step-by-step explanation:
Volume= LxWxH so we get 20x28x24 as given.
Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.
13,440-10,500= 2,940 Cubic Inches
Option A
Answer:
Part A: 13440 cubic inches.
Part B: A - 2940 cubic inches.
Step-by-step explanation:
The volume of the box = 24x20x28 = 13440 cubic inches.
The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.
13440-10500 = 2940 cubic inches. The answer is A.
Which is the best definition for an inequality?
A. a mathematical statement that must contain an inequality symbol and parentheses
B. a mathematical statement that uses an equal sign
C. a mathematical statement that must contain a variable and an inequality symbol
D. a mathematical statement that uses unequal symbols to compare two quantities
Answer:
D
Step-by-step explanation:
Option A is incorrect because inequalities do not always have parentheses in the equation. Option B is incorrect because to show in an inequality that something is equal, you show it as ≤ or ≥. Option C is incorrect because not all inequalities contain variables.The best definition for an inequality is a mathematical statement that uses unequal symbols to compare two quantities.
Option A is incorrect. This is because it's not compulsory for an inequality to have a parentheses.Option B is incorrect. It doesn't use an equal sign. Option C is incorrect. It is not compulsory for an inequality to contain a variable and an inequality symbol.Option D is correct. It is a mathematical statement that uses unequal symbols to compare two quantities.In conclusion, the correct option is D.
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What is the equation of the exponential function??
Anthony's mom bought a new Prius in 2018 that cost
$28,000. She looked up the current value and saw that
it was only $22,000 after two years! She is worried
about how much her car will be worth in 3 more years.
What is the exponential equation?
1
How much will the car be worth in 3 years?
Submit
Answer:
$19500Step-by-step explanation:
Let the depreciation rate is x per year, then we have:
28000*x² = 22000x² = 22000/28000x² = 0.7857x = √0.7857 x = 0.8864Exponential function for this case is:
V(t) = 28000*0.8864^t, where V(t) - future value, t- number of yearsValue of the car after 3 years:
V(3) = 28000*0.8864^3 V(3) = 19500Use the following function to complete this question:
f(x)=(x-1)^3+5
Graph the function and fill in the blanks.
If the transformation listed is not applicable write none.
Fill in the blanks in the form:
4 left
5 up
Write infinity in the form: inf
Horizontal shift:
Vertical shift:
Vertical stretch factor:
Vertical compression factor:
Axis of reflection:
Domain:
Range:
Inflection Point:
Pic is attached below
The following is deduced from the equation f(x)=(x - 1)^3 + 5
Horizontal shift: 1 left
Vertical shift: 5 down
Vertical stretch factor: 1
Vertical compression factor: 1
Axis of reflection: -x + 6
Domain: all real numbers
Range: all real numbers
Inflection Point: (1, 5)
What is vertical stretch factor?The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.
The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.
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A catering company buys some items with a list price of $5,000. If the supplier extends trade discount rates of 35/30/5, find the net price using the net price factor, complement method.
The net price using the net price factor, complement method is $2958.75.
What does "net price factor" mean?The complementary of the product of the market discount rates is represented by the net price factor, which is a decimal number. It is used to determine an item's final price after various trade discounts have been applied. By multiplying the complementary of the discount rates collectively and deducting the result from 1, we may determine the net price factor.
We use the complement method to calculate the net price using the net price factor.
For the given trade discount rates we have:
The complement of 35% is 65%
The complement of 30% is 70%
The complement of 5% is 95%
Multiply the values:
65% × 70% × 95% = 0.65 × 0.70 × 0.95 = 0.40825
The net price is obtained by:
1 - 0.40825 = 0.59175
Multiply the net price by the list price:
0.59175 × 5000 = $2958.75
Hence, the net price using the net price factor, complement method is $2958.75.
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The selling price for a classic speedboat is $12,000. what was the speedboats original price if it is currently selling for $2,000 less than two times its original price?
Answer:
$7,000
Step-by-step explanation:
Let \(x\) equal the original price.
\(12,000+2000=2x\)
Combine like terms.
\(14,000=2x\)
Divide by the coefficient of \(x\), which in this case is \(2.\)
\(7,000=x\)
If you like the variable on the left, rewrite:
\(x=7,000\)
A hotel charges Rs 55 for lunch and Rs 45 for dinner. Ravi ordered lunch and dinner for 12 days. How much money did he spend in 12 days on these things?
Answer:
dinner = Rs 540
lunch = Rs 660
total = Rs 1320
Step-by-step explanation:
dinner = Rs 55 × 12
= Rs 540
lunch = Rs 45 × 12
= Rs 660
total = Rs 540 + Rs 660
= Rs 1320
Mr. Hooper has a tree in his front yard that grows every year. If the tree was 3 feet tall when he planted it 6 years ago , what is the current height of the tree in terms of f?
A. 3f + 6 feet
B. 6f + 3 feet
C. 3f + 18 feet
D. 6f + 18 feet
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
Can someone help me with this math problem?
see attached photo
By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.
How to determine the value of trigonometric reasons
In this question we must take into accounts the definitions of the trigonometric reasons sine and secant and the Pythagorean theorem as well.
If sec θ < 0 and csc θ > 0, then sin θ > 0 and cos θ < 0, the angle is in the second quadrant (0.5π < θ < π, x < 0, y > 0) and we have the following expression:
sec θ = r/x
\(\frac{r}{x}= -\frac{6\sqrt{11}}{11}\)
Then x = - 11, r = 6√11 and the value of y is:
\(y = \sqrt{r^{2}-x^{2}}\)
y = 5√11
By trigonometric expressions we have this formula for sin 2θ:
sin 2θ = 2 · sin θ · cos θ
sin 2θ = 2 · (y/r) · (x/r) = (2 · x · y)/r²
sin 2θ = [2 · (- 11) · (5√11)]/396
sin 2θ = - (5/18) · √11
By applying definitions of trigonometric reasons, Pythagorean theorem and a trigonometric expression, the value of the sin 2θ is equal to - (5/18) · √11.
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(a) (2x³+4x²y + 5xy²-3y²)-(x²-3x²y +5xy²-2y²)
Answer:
Your answer is 2x³ + 7x²y + y²- x²
Step-by-step explanation:
(a) ( 2x³ + 4x²y + 5xy² - 3y² ) - ( x² - 3x²y +5xy² - 2y² )
= 2x³ + 4x²y + 5xy² - 3y² - x² + 3x²y - 5xy² + 2y²
= 2x³ + 4x²y + 3x²y + 5xy² - 5xy² + 3y² + 2y² - x²
= 2x³ + 7x²y + y²- x² ans.
Hope its helpful!
Please mark me as brainlist.
Step-by-step explanation:
(a) ( 2x³ + 4x²y + 5xy² - 3y² ) - ( x² - 3x²y +5xy² - 2y² )
= 2x³ + 4x²y + 5xy² - 3y² - x² + 3x²y - 5xy² + 2y²
= 2x³ + 4x²y + 3x²y + 5xy² - 5xy² + 3y² + 2y² - x²
= 2x³ + 7x²y + y²- x² ans.
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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3. Determine the domain and range for each graph
(-inf, 1]
Step-by-step explanation:Personal comment
Sorry this took so long
In short, you had it flipped, always put your smallest value first and your largest value second.
Reason:
Interval notation is
[(minima, maxima)]
Which is basically saying the minimum and the maximum, and as such you always end up having the smallest value first.
Putting the reasoning together;
A negative is always less than a positive in practice, therefore, your negative infinity should go first.
Hope this helps :)
if f(x)=3x-2 and g(x)=2x+1 find(f-g)(x)
Answer:
(f-g)(x) = x-3
Step-by-step explanation:
f(x)=3x-2
g(x)=2x+1
(f-g)(x)= 3x-2 - ( 2x+1)
Distribute the minus sign
3x -2 -2x -1
Combine like terms
x-3
4 unit squares each have of their area shaded. 7 What is the total area that is shaded? square units
Answer:
hgb hfgb,rnvjdfjvfnvjfvjfjgv
Step-by-step explanation:
Simplify:
(7 + 2i)(9 - 6I)
Answer:
27
Step-by-step explanation:
hope this helped <3
2(a + b) + 4m(a + b)
Answer:
(a+b) 2+4m
Step-by-step explanation:
(a+b) 2+4m
take (a+b) out
Answer: 4am+4bm+2a+2b
Step-by-step explanation:
Distribute: 2(a+b)+4m(a+b)
2a+2b+4m(a+b)
Distribute: 2a+2b+4m(a+b)
2a+2b+4am+4bm
Rearrange terms: 2a+2b+4am+4bm
4am+4bm+2a+2b
Solution: 4am+4bm+2a+2b
The proportion of the memory space of a flash drive that is unused is 3/8.
There are 40 gigabytes of used memory. What is the total capacity of the drive?
Total capacity of drive is 64 gigabyte
Ratio and Proportion:
A ratio is a comparison of two amounts that is calculated by dividing the first amount by the second.
Proportion refers to the equality of two ratios.
Let, The total capacity of the drive is = X gigabytes
given,
The proportion of the memory space of a flash drive that is unused is 3/8
The proportion of the memory space of a flash drive that is used is equal to
1 - 3/8 = 5/8
used memory = 40 gigabyte
or X of 5/8 = 40
X = 40 * 8/5
X = 64 gigabyte
so, the total capacity of drive is 64 gigabyte
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what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would
earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this
Investment?
Ruth wants to find the decimal equivalent of 226
, so she divides. Study Ruth’s work shown here, and then answer the questions below.
The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,
What is a rational number?A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).
We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:
22/6 = 3.666666...
We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.
Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.
The difference between 40 and the product of these digits and 6 is always 4.
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Choose the correct option
1: simplify this expression : 6 ( y + z )
a) 6z + y
b) 6yz
c) 6y + z
d) 6y + 6z
2: which equation shows the commutative property of multiplication ?
a) 9×5 = 5 ×9
b) 4×1 =4
c) 2×3 =2+2+2
d) 6×3 - 8× 3 = ( 6- 8) × 2
3: which property would you use to simplify the following expression
3 ( y + 5 )
a) distributive property
b) multiplication property of zero
c) commutative property
d) associative property
Answer:
1.d because you distribute the 6 to the y and then z so the equation would be 6y+6z
2.a because the commutative property says that no matter the order of the terms you will get the same product so 9x5 would be the same as 5x9
3.a because you distribute the 3 to the y and 5 so the simplifie dversion would be 3y+15
Hope this helps!