Answer:
y=250x-4
Step-by-step explanation:
If y represents the amount of money made in a week, y=250.
If x represents the amount of cakes that are made, x=?
You make $250(y) a week, you then spend $4(x) per cake, this would make the equation:
y=250x-4
Question 25
A stock has a beta of 1.5 and an expected return of 16.35%. What is the risk-free rate if the market rate of return is 12.5%?
96
Answer:
4.8%
Step-by-step explanation:
Given that :
Stock beta (B) = 1.5
Expected return = 16.35% = 0.1635
Maeket rate of return (Rm) = 12.5% = 0.125
Risk-free rate of return (Rf) =?
Using the relation :
Expected rate of return = risk free rate + Beta(market rate - Risk-free rate)
Expected rate of return = Rf + B(Rm - Rf)
Plugging our values :
0.1635 = Rf + 1.5(0.125 - Rf)
Open the bracket
0.1635 = Rf + 0.1875 - 1.5Rf
Collect like terms
0.1635 - 0.1875 = Rf - 1.5Rf
−0.024 = - 0.5Rf
Divide both sides by - 0.5
0.024 / 0.5 = Rf
Rf = 0.048
Rf = 0.048 * 100% = 4.8%
Find the value of each variable in the circle to the right. The dot represents the center of the circle.
9514 1404 393
Answer:
a = 57.5
b = 90
c = 65
Step-by-step explanation:
The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°
__
The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.
__
The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.
(a, b, c) = (57.5, 90, 65)
Felicia has a stack of 10 cards. Each card is labeled with a number in the range 1 through 10 and no two cards have the same number. She picks three cards at random from the stack and adds the numbers on the three cards. What is the expected value of the sum
Answer:
The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.
Step-by-step explanation:
Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10
Selecting 3 cards out of 10
10C3 = 120
Now she picks three cards to look at their numbers and sum it up
The possible three numbers are
(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),
(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),
(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),
(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),
(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),
(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)
Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27
Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability
P(S=6)=1/120
P(S=7)=1/120
P(S=8)=1/60
P(S=9)=1/40
P(S=10)=1/30
P(S=11)=1/24
P(S=12)=7/120
P(S=13)=1/15
P(S=14)=3/40
P(S=15)=1/12
P(S=16)=1/12
P(S=17)=1/12
P(S=18)=1/12
P(S=19)=3/40
P(S=20)=1/15
P(S=21)=7/120
P(S=22)=1/24
P(S=23)=1/30
P(S=24)=1/40
P(S=25)=1/60
P(S=26)=1/120
P(S=27)=1/120
Now adding all the sum in order to get the expected value
∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5
Therefore the expected value of the sum is 16.5.
I need help with these four questions.
what is the LCD of 1/3 and 1/4
Jacob pays $30.40 for 3.2 ounces of steak. What is the price per ounce of the steak?
Answer:
30.40/3.2=9.5 so he pays $9.50 per ounce of steak
Step-by-step explanation:
(03.06a LC) How many solutions does the equation 4x + 8 = -2 - 2 + 5x have? (5 points)
Two
One
None
Infinitely many
Answer:
1 x=12
Step-by-step explanation:
combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side
00:00 A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates. What is the weight of each crate? Enter your answer in the box. pounds
six added to 9 times a number is 33. find the number
Answer:
The number is 3
Step-by-step explanation:
6 + 9n = 33
-6 -6
9n = 27
÷9 ÷9
n = 3
8. Find y
(9x + 37) (7y-1)
16x+8)° (11y+19)
Answer:
6 plus 9
Step-by-step explanation:
69
Look at pic and answer ASAP
Answer:
the second one, the one that is already highlighted is correct.
Step-by-step explanation:
she divided it up among them so 20 over x shows division
There was a study done on oxygen consumption of snails as a function of pH, and the result was a degree 4 polynomial whose graph is shown.
Which of the following statements about this function is INCORRECT?
Answer:
A. There is a positive leading coefficient
Step-by-step explanation:
Polynomials can be represented as an equation or graphs.
The incorrect option is: (b) There is a positive leading coefficient.
The polynomial has a degree of 4; this means that the degree of the polynomial is even.
So option (a) The degree of the polynomial is even is true
From the graph, we can see that the function decreases at (7<x<8) and (9<x<10)
This means that, the function decreases at two intervals
So option (d) There are two intervals where the function is decreasing is also true
Also, the function is at maximum at x = 7 and x = 9.
This means that:
Option (c) At two pH values, there is a relative maximum value
Hence, the incorrect option is:
(b) There is a positive leading coefficient.
This is so because, the graph decreases at some points on the graph.
This means that, the graph has a negative leading coefficient.
Read more about polynomials at:
https://brainly.com/question/17333460
d/5 = -6, what does d = ?
Answer:
d=-30
Step-by-step explanation:
Answer:-30
Step-by-step explanation: To find your answer, we can multiply 5 and -6 to figure out what divided by 5 equals. We then get our answer. -30
A real estate company wants to give one promotional item to each of its 100 clients. The
company orders a mixture of mugs and pens as the promotional items. The budget for
purchasing all promotional items is $305.
Custom Creations has a consistent rate per mug and pen and offers free shipping. The table
shows the price for each item.
Custom Creations
Price per Mug Price per Pen
$5.55
$2.50
i really dont know but good luck
A house has increased in value by 36 percent since it was purchased. If the current value is 306000 what was the value when it was purchased?
Answer:
$225,000
Step-by-step explanation:
Step-by-step explanation:
To calculate the percentage change we will apply the formula:
p= N-O/O *100
p is the increased percentage
N is the current value
O is the old value.
Substitute the values in the formula:
36 = 306,000 - O/O *100
Divide both the sides by 100
36/100 = 306,000 - O/O *100/100
36/100 = 306,000 - O/O
Now multiply O at both sides
36/100 * O = 306,000-O/O * O
At R.H.S O will be cancelled by O
At L.H.S 36/ 100 = 0.36
0.36 O= 306,000-O
Combine the like terms:
0.36 O+O =306,000
1.36 O = 306,000
Divide both the terms by 1.36
1.36 O/ 1.36 = 306,000/1.36
O= $225,000
Therefore when the house was purchased its value was $225,000....
The length of DF is ______ units.
Help! Write the equation of the line fully simplified slope-intercept form.
Answer:
the equation is y=-x+8
Using the function f(x) = 3x – 5, what would the output be for an input of 4?
Answer:
Step-by-step explanation:
3 x 4 - 5
= 7
The required output of the given function at x = 4 is given as f(x) = 7.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
To evaluate output from the function f(x) = 3x - 5, at x = 4 we must put the value of x in the function:
f(4) = 3(4) - 5
f(4) = 7
Thus, the required output of the given function at x = 4 is given as f(x) = 7.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ1
What is the value of x?
- (12 – 8x) = 5x +15 – 7x
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
-(12-8x)=5x+15-7x
-12+8x=5x+15-7x
8x+7x-5x=15+12
10x=27
x=27/10
Answer:
x = 27/10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-(12 - 8x) = 5x + 15 - 7x
Step 2: Solve for x
Distribute negative: -12 + 8x = 5x + 15 - 7xCombine like terms: -12 + 8x = -2x + 15Add 2x on both sides: -12 + 10x = 15Isolate x term: 10x = 27Isolate x: x = 27/10The table shows the cost in dollars, y, for shipping x number of chargers and electronic tablets.
Which function shows the combined cost in dollars, y, for three shipments with x number of chargers and tablets?
y = 2.00x + 4.00
y = 6.00x + 12.00
y = 3.50x + 2.50
y = 10.50x + 7.50
please help
i need help with this pls
Answer:
8x + 12 + 2x + 28 = 180
x = 14
Step-by-step explanation:
8x + 12 + 2x + 28 = 180
8x + 2x + 12 + 28 = 180
10x + 40 = 180
-40 -40
10x = 140
10 10
x = 14
any more help just ask :)
Find the 75th term of the following arithmetic sequence 16,25,34,43
Answer:
[tex]\boxed {\boxed {\sf 682}}[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence can be found using the following formula.
[tex]a_n=a+d(n-1)[/tex]
where a is the first term, d is the common difference, and n is the term.
First, we should find the common difference.
We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.
[tex]d= a_2-a_1[/tex]
The second term is 25 and the first is 16.
[tex]d= 25-16[/tex]
[tex]d=9[/tex]
Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.
[tex]d=9 \\a=16 \\n= 75[/tex]
Substitute the values into the formula.
[tex]a_{75}=16+9(75-1)[/tex]
Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).
Solve the parentheses first.
[tex]a_{75}=16+9(74)[/tex]
Multiply next.
[tex]a_{75}=16+666[/tex]
Finally, add.
[tex]a_{75}=682[/tex]
The 75th term in the sequence is 682.
On Saturday, the Anderson
Family had dinner at a
restaurant. They ordered 2
pizzas and 4 cheeseburgers for
$31.50. The following weekend,
the Anderson Family had dinner
at the same restaurant where
they ordered 3 pizzas and 2
cheeseburgers for $33.25. Which
system of equations can be used
to determine the cost of one
pizza (p) and one cheeseburger
(c)?
Answer:
[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]
Step-by-step explanation:
Let's call (as suggested)
p = the cost of one pizza
c = the cost of one cheeseburger
The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:
2p + 4c = 31.50 [1]
Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:
3p + 2c = 33.25 [2]
To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]
[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]
Find the value of y given ordered pairs and slope.
(8,0) (4, y) slope= 1/2
Answer:
-1/4xy+y=0
Step-by-step explanation:
PLS HELP. It’s question 11
Answer:
B.) 10 cm squared
Step-by-step explanation:
Can someone help me with my math homework?
Please and I will mark brainliest
College for Readiness and High School students
Answer:
Sure, I can try to help.
Step-by-step explanation:
Answer:
The discrimination is positive
Step-by-step explanation:
The graph shows the parabola with branches go up in positive y-direction. This gives you that a>0.
Since parabola has two x-intercepts, then the equation has two different solutions and the discriminant is greater than 0.
You do 2/3 of your math homework problems on Saturday. What fraction of your math problems must you do on Sunday in order to finish your homework?
Answer:
1/3 of your math problems need to be completed on Sunday if you did 2/3 on Saturday.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
You already did 2/3 on Saturday. So what left to do on Sunday in order to finish your homework is 1/3 more.
Sweater originally mart $60 is on sale for 25% off how much can you save by buying a sweater on sale
Answer:
you save $12 by buying the sweater on sale
Step-by-step explanation:
Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.
2008
2009
2010
–5.8
4.4
StartFraction 37 Over 10 EndFraction
2011
2012
2013
3.6
4 and one-third
Negative 5 and three-fourths
Which comparison is true? Use the number line to help you.
A number line going from negative 6 to positive 6 in increments of 1.
Negative 5.8 > Negative 5 and three-fourths
3.6 4.4
Answer: The answer is B, 3.6 < 37/10
Answer: I believe that your answer is B.
37/10 is greater than 3.6.
I hope I helped you!
They looked around and then rushed toward each other. A cry of alarm surged through Tompkins Square Park. Was this a fight to the death instead of a boxing match?
The fear soon gave way to wave upon wave of cheering as the two amigos embraced.
No matter what the decision, they knew they would always be champions to each other.
PLEASE HURRY I ONLY HAVE 5 MINS
Answer:
B is the answer foks thanks for looking
Step-by-step explanation:
They looked around and then rushed toward each other. A cry of alarm surged through Tompkins Square Park. Was this a fight to the death instead of a boxing match?
The fear soon gave way to wave upon wave of cheering as the two amigos embraced.
No matter what the decision, they knew they would always be champions to each other.
(continued)
Based on the passage, how do the boys resolve their conflict?
They decide to fight to the death.
They decide not to care who the winner is.
They decide to fight a rematch.
They decide to end their friendship.
Answer:
b
Step-by-step explanation: