Answer:
r = 8 and
s = -7
Step-by-step explanation:
(2r + 4s = - 12)/2 =
r +2s = -6
r = -2s - 6
Substitution:
6 (-2s -6) + 7s = -1
-12s - 36 + 7s = -1
-5s = 36-1
s = 35/-5
s = -7
6r + 7(-7) = -1
6r - 49 = -1
6r = 49-1
r = 48/6
r = 8
Solve for y. Y/4 - y-1/2>3
Answer:
y < -14/3
Step-by-step explanation:
y/4 - y - 1/2 > 3
+1/2 +1/2
---------------------------
y/4 - y > 7/2
*4 *4
---------------------------
y - 4y > 14
-3y > 14
/-3 /-3
---------------------------
y < -14/3
Answer:
y < -14/3 --> final solution
Help help please help help me help help please please let me know please please help help please help me help help please help help me help help
Answer:
1) A=XB
2) (A-C)/B
Step-by-step explanation:
1) to keep A alone convert B to the other side with multiplication A=XB
2) To keep X alone. First C goes to the other side be minus A-C=BX
then B goes the other side with division (A-C)/B=X
Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.25 on an exam.
a) Write a sentence explaining what that means.
b) Your friend got a z-score of −1. If the grades satisfy the Nearly Normal Condition, about what percent of the class scored lower than your friend?
21 less than tree-fifths of a number
(3/5)x - 21
hope this helps :)
James was watching Cartoon Cartoon's! He watch 7 each day. If he keeps this up for 10 days how many Cartoon Cartoon's will he watch in all?
Answer:
70
Step-by-step explanation:
7 x 10 = 70
What two numbers can be used for the denominators of 5/8 and five/4
equal denominators can be 8, 16, 24, etc
but for this one, you can use 8.
A bag contains 7 red marbles, 6 white marbles, and 8 blue marbles. You draw 4 marbles out at random,
without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
What number should go in the space?
Multiplying by 1.75 is the same as increasing by _____%.
Answer:75%
Step-by-step explanation:
The number of girls int the choir is 4 times the number of boys in the choir. The total number of students in the choir is 60. How many girls are in the choir?
Answer:
15 boys in the choir
Step-by-step explanation:
60/4
4 x 15 = 60
Answer:
48
Step-by-step explanation:
First, make up some variables to represent the number of Girls and Boys in the choir.
B = number of boys
G = number of girls
You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:
If you cross-multiply, then you get the simplified equation:
G = 4B
Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.
Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60
To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12
However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48
The number of girls you have is 48.
Complete the equation…
Picture is included
Please answer!! No links please!!!!
Answer:
a to the power 1
............
How to solve this problem?
Thank you
Multiply (-2) (-2)(9)
Answer:
-2×(-2)×9
= 4×9
= 36
Step-by-step explanation:
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Answer:
OPTION ( A) 36Step-by-step explanation:
(-2) (-2)(9)=36HOPE IT HELPS
integration of sin3xsinx
Recall that
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
cos(x - y) = cos(x) cos(y) + sin(x) sin(y)
If you subtract the first equation from the second one, you end up with
cos(x - y) - cos(x + y) = 2 sin(x) sin(y)
so that
sin(3x) sin(x) = 1/2 (cos(3x - x) - cos(3x + x)) = 1/2 (cos(2x) - cos(4x))
Then in the integral,
[tex]\displaystyle \int \sin(3x)\sin(x)\,\mathrm dx = \frac12 \int(\cos(2x)-\cos(4x))\,\mathrm dx \\\\ = \frac12 \left(\frac12 \sin(2x) - \frac14 \sin(4x)\right) + C \\\\ = \boxed{\frac14 \sin(2x) - \frac18 \sin(4x) + C}[/tex]
what is 2 times negative 4/5
how do I add odd number fractions for example 5/9 and 3/5?
Company X has the following capital structure, which it considers to be optimal:
Debt =33%, Preferred stock = 28%, Common equity = 39%
Company X’s tax rate is 25% and investors expect earnings and dividends to grow at a constant rate of 6.5% in the future. Company X is expected to pay a dividend of $4.40 per share next year, and its stock currently sells at a price of $55 per share.
Company X can obtain new capital in the following ways:
Preferred: New preferred stock with a dividend of $13 can be sold to the public at a price of $109 per share.
Debt: Debt can be sold at an interest rate of 11%.
Calculate the following:
a. Cost of Common equity?
b. Cost of Preferred Equity?
c. Cost of debt?
d. Weighted Average Cost of Capital (WACC)
The computations of Company X's Capital Structure is as follows:
a. Cost of Common equity = 7.48% ($4.114/$55 x 100)
b. Cost of Preferred stock = 11.93% ($13/$109 x 100)
c. After-tax cost of debt = 8.25% (11% x 1 - 0.25)
d. Weighted Average Cost of Capital (WACC):
= (39% x 7.48% + 28% x 11.93% + 33% x 8.25%)
= (2.92% + 3.34% + 2.72%)
= 8.98%
= 9%
Data and Calculations:
Capital Structure Weights:
Weight of Debt =33%
Weight of Preferred stock = 28%
Weight of Common equity = 39%
Corporate tax rate = 25%
Earnings growth = 6.5%
Expected dividend per share next year = $4.40
Dividend per share for the current year = $4.114 ($4.40 x 93.5%)
Current common stock price per share = $55
Learn more: https://brainly.com/question/20815933
Arnold Ackerman deposits $870 in a savings account at Home City Bank. The account pays an annual interest rate of 7 percent. He makes no other deposits or withdrawals. After three months the interest is calculated. How much simple interest does his money earn?
Answer: $15.23
Step-by-step explanation:
$870 x ((7% / 12 months) x 3 months)
= $870 x 0.005833 x 3
= $15.23
Is "369" from ( Digit or Number or Numeral) ??
Answer:
Number
Step-by-step explanation:
Answer:
Digit is single number
so answer is numeral
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
What is are the answers
Answer:
Q1(a). x=112 (corr angles)
Q1(b). x=75 (alt angles)
Q1(c). x=180-150 (adj angles on a str line)
=30
y=150 (corr angles)
Q1(d). x=99 (vert opp angles)
y=99 (corr angles)
z=180-99 (adj angles on a str line)
=81
Q1(e). x=180-74 (adj angles on a str line)
=106
y=106 (corr angles)
Q1(f). x=123 (corr angles)
y=180-110 (int angles)
=70
Q3. 4x+15=5x-10 (vert opp angles)
4x-5x=-10-15
-x=-25
x=25
Q4. x+22+2x-13=180 (int angles)
3x+9=180
3x=180-9
=171
x=171÷3
=57
How do you factor by grouping if the question is 2p^3+5p^2+6p+15?
Answer:
(2p + 5)(p² + 3)
Step-by-step explanation:
2p³ + 5p² + 6p + 15
take out factor p²
p² × (2p + 5) + 6p + 15
p² × (2p + 5) + 3 (2p + 5)
= (2p + 5)(p² + 3)
What is the complementary angle of 60°.
Answer:
30°
Step-by-step explanation:
The complementary angle of 60° is 30° complementary angles are angles whose measures sum to 90�,
so complementary angles of 60�is 30�
Answer:
30°
Step-by-step explanation:
90-60=30 the complementary angle of 60° is 30°
PLEASE HELP I DO ANYTHING
Answer:
Step-by-step explanation: 4 if i believe
Tell whether each equation is True or False.
-4+ (-7) = 11
True
Wha
first
False
a.
b. 5 + (-4) = -5 +4
True
False
True
False
C.
-10 + 7 = 7 - 10
True
False
d. 14+ (-3) = 10 + 1
5 Aduck is sitting on a ledge that is 11 feet above the
Answer:
false, false, true. This is my answer for the three questions.
Find the coordinates of the point.
The point is seven units to the left of the y-axis and two units below the x-axis.
Answer:
(-7, -2)
Step-by-step explanation:
If you look on a graph and travel 7 units to the left of the y axis, you are traveling in the x direction (along the x axis). Since you are 7 units to the left, you are at -7 in the x direction.
If you look on a graph and travel 2 units down below the x axis, you are traveling in the y direction (along the y axis). Since you are 2 units down, you are at -2 in the y direction.
Coordinates are listed in (x,y) format, so it would be (-7, -2)
Write the slope-intercept form of the equation of each line.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The given equation can be written as :
[tex]x - 2y = 2[/tex][tex] - 2y = 2 - x[/tex][tex] - y = \dfrac{2 - x}{2} [/tex][tex]y = - \bigg( \dfrac{2 - x}{2} \bigg)[/tex][tex]y = \dfrac{x - 2}{2} [/tex][tex]y = \dfrac{x}{2} - 1[/tex]Therefore , the slope intercept form for above equation is :
[tex]\boxed{ \boxed{y = \frac{x}{2} - 1 }}[/tex]Let f (x) = log2(x) + 2 and g(x) = log2(x3) – 4.
Part A: If h(x) = f (x) + g(x), solve for h(x) in simplest form. (4 points)
Part B: Determine the solution to the system of nonlinear equations. (6 points)
The function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]
The functions are given as:
[tex]f(x) = log_2(x) + 2[/tex]
[tex]g(x) = log_2(x^3) - 4[/tex]
(a) Function h(x)This is given as:
[tex]h(x) = f(x) + g(x)[/tex]
So, we have:
[tex]h(x) = log_2(x) + 2 + log_2(x^3) - 4[/tex]
Collect like terns
[tex]h(x) = log_2(x) + log_2(x^3)+ 2 - 4[/tex]
[tex]h(x) = log_2(x) + log_2(x^3)- 2[/tex]
Apply law of logarithm
[tex]h(x) = log_2(x \times x^3)- 2[/tex]
[tex]h(x) = log_2(x^4)- 2[/tex]
Apply law of logarithm
[tex]h(x) = 4log_2(x)- 2[/tex]
Hence, function h(x) in its simplest form is [tex]h(x) = 4log_2(x)- 2[/tex]
(b) System of nonlinear equationsThe equations are not given.
So, the question cannot be solved
Read more about composite functions at:
https://brainly.com/question/10687170
Some people advise that in very cold weather you should keep the gas tank in your car more than half full Louis car had 6.9 gallons in a 15 gallon tank on the coldest day of the year blue filled the tank with gas that cost 3.90 per gallon how much did we spend on gas
Please answer question c
Answer:
the mean number of magazine readers is 200
A triangle with vertices at point A(-2,1), B(1,5), and C(2,3) calculate the coordinates of the mid point of AB
=======================================================
Explanation:
Add up the x coordinates of A and B
-2+1 = -1
Then cut that result in half
-1/2 = -0.5
This is the x coordinate of the midpoint.
Repeat these steps for the y coordinates: (1+5)/2 = 6/2 = 3
The midpoint of segment AB is located at (-0.5, 3)
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
X. f(x)
0 -10
3 -4
5 0
6 2
then now polt the following points on
graph
(0,-10),(3,-4),(5,0),(6,2)
Step-by-step explanation:
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