Answer:
in my thought 4isthe answer
An investor owns a bond. Suppose there is a 20% probability the investor will lose $100 on the bond and an 80% probability the investor will gain $30 on the bond. Find the expected value (expected return) of the bond. Enter the number only. Do not include the $ sign.
======================================================
Work Shown:
A = event of losing $100
P(A) = probability event A occurs = 0.20
V(A) = net gain of event A happening = -100
B = event of gaining $30
P(B) = probability event B occurs = 0.80
V(B) = net gain of event B happening = 30
-----------------
E(X) = expected value
E(X) = P(A)*V(A) + P(B)*V(B)
E(X) = 0.20*(-100) + 0.80*(30)
E(X) = 4
The expected value is $4
This means the investor expects to get an average return of $4.
2. A principal of $4.570 is placed in an account that earns 4.5% interest. If the interest is compounded annually, how
much money will be in the account at the end of 5 years?
а
$4654.15
b
$4775.65
С.
$5638.75
d
S5695.05
Please help I will give the brilliance
Answer:
D
Step-by-step explanation:
Jaime is 16 years older than Savannah. Ten years ago, the sum of their ages was 60. How old are they now?
Jaime is ____years old, and Savannah is ____ years old.
Answer:
Jaime is _48_years old, and Savannah is _32_ years old.
Step-by-step explanation:
Jaime is 16 years older than Savannah
Ten years ago, the sum of ages = 60.
(60-16)=22
Ten years ago, Jaime=22+16=38y but now Jaime is 48 (38+10)
Ten years ago, Savannah = 22y but now Savannah is 32y (22+10)
hope this helps
Assuming the pattern continues, what are the next two terms in the pattern: A, D, G, J, ______?
Answer:
m, p
Step-by-step explanation:
I REALLY NEED HELPPPPP
DONT BE SHYYYY HELP MEH
sersly no one can help????
Answer:
Expression: [tex] \frac{40}{y - 16} [/tex]
When y = 20, the value of the expression is 10.
Step-by-step explanation:
The expression for the phrase "difference of a number, y, and 16" is (y - 16).
Therefore, the quotient of 40 and the "difference of a number, y, and 16" would be written as:
[tex] \frac{40}{y - 16} [/tex]
Let's evaluate the expression when y = 20.
Substitute y = 20 into [tex] \frac{40}{y - 16} [/tex].
Thus:
[tex] \frac{40}{20 - 16} [/tex]
[tex] = \frac{40}{4} = 10 [/tex]
What is the reciprocal of 3 1/3 as a fraction
The reciprocal of [tex]3\frac{1}{3}[/tex] as a fraction is [tex]\frac{3}{10}[/tex].
Given that,
The mixed number is [tex]3\frac{1}{3}[/tex].We need to solve this, and reciprocal it as the fraction.Based on the above information, the calculation is as follows:
[tex]= 3\frac{1}{3}\\\\= \frac{10}{3}\\\\= \frac{3}{10}[/tex]
Therefore we can conclude that the reciprocal of [tex]3\frac{1}{3}[/tex] as a fraction is [tex]\frac{3}{10}[/tex].
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What is the midpoint of KL¯¯¯¯¯¯
Answer:
I think that it would be -4.5
Step-by-step explanation:
Have a great day!
Answer:
-4.5
Step-by-step explanation:
yeahhhhhhh
Deshaun made 143 for 11 hours of work. At the same rate, how much would he make for 9 hours of work?
Answer:
117
Step-by-step explanation: 143\11=13
then multiply 13 by 9 and that equals 117
Answer:
143÷11=13 so you take that as how much money he makes an hour and multiply that with 9 which 13×9=117
What's the difference in the total value of a $9000 deposit between an account with an annual simple interest rate of 4% and an account with an annual compound interest rate of 4% after 35 years?
Answer:
Step-by-step explanation:
3000
What are the Factors of 40
Answer:
1, 2, 4, 5, 8, 10, 20, 40
Step-by-step explanation:
These number can all divide 40
Answer:
1 × 40 = 40.
2 × 20 = 40.
4 × 10 = 40.
5 × 8 = 40. Therefore, the factors in pairs are (1, 40), (2, 20), (4, 10) and (5, 8).
Step-by-step explanation:
These are the factors of 40
evaluate 3x(x-2)/ 2x-1 when x=0
Someone help please!!!
Answer:
y intercept = -5
slope= 4
equation: y = 4x - 5
EXPLANATION:
FIRST, you must write the formula for a linear graph , which is y = m(x) + c
where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.
SOLUTION:
y = mx + c
finding the gradient (m)
m = y2 - y1
x2 - x1
=( (-1)-(-5) ) ÷ (1-0)
= -1+5 ÷ 1
= 4
Therefore, the slope is 4
finding the y intercept.
y = 4x + c
in the above equation, I substituted the value I had for the slope or the gradient or m.
SO NOW IM ABOUT TO FIND C
TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.
I CHOOSE MY Y = 3 and X = 2
Now I'm going to substitute those values into the formula.
(3) = 4(2) + C
since it's an equation with one variable, no need for simultaneous equations.
3 = 8 + c
3-8 = c
-5 = c
SO THATS HOW WE ARRIVED AT -5 AND 4.
WITH THAT, the equation of the line is y = 4x - 5.
I HOPE IT WAS HELPFUL.
Solve the system by substitution
7x-6y=16 (1)
y=-5
Show step by step
Answer:
7x - 6y = 16
y = (-5)
using substitution method
7x - 6(-5) = 16
7x +30 = 16
7x = 16 - 30
7x = 14
x = 14/7
x= 2
A wealthy businessman invests $10,000 and expects a 6.62% rate of return annually. How
many years will it take the investment to reach $15,000 in value?
Answer:
3
Step-by-step explanation:
It would take.him.about 3 years
which table represents constant functions
Triangles A B C, D E F, G H I, and J K L are shown. Angles A C B, D F E, H I G, and K L J are right angles. The length of side A C is 14 and the length of side C B is 20. The length of side E F is 8 and the length of F E is 10. The length of H I is 15 and the length of I G is 12. The length of K L is 10 and the length of L J is 7. The lengths of the hypotenuses are not given. Which pairs of triangles are similar? Check all that apply. △ABC ~ △DEF △DEF ~ △GHI △GHI ~ △ABC △GHI ~ △JKL △JKL ~ △ABC
Answer:
B) △DEF ~ △GHI
E) △JKL ~ △ABC
Step-by-step explanation:
i just did the assignment
The pairs of triangles are similar
△DEF ~ △GHI and △JKL ~ △ABC.
What is similarity ?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
AC = 14
BC = 20
DF = 8
FE= 10
HI = 15
IG = 12
KL = 10
LJ = 7
As, In Right Triangle we can use Pythagoras theorem
AB = √14²+ 20² = 24.41
DE= √8²+10²= 12.8
HG= √15²+ 12² = 19.2
KJ= √10² + 7² = 12.2
Then, from the ratio of Corresponding sides we get
△DEF ~ △GHI and △JKL ~ △ABC.
Learn more about similarity here:
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Does anyone know how to do this i need help please
Answer:
answer is 82 feet
Step-by-step explanation:
perimeter is sun of all sides = 20 +9 +13+ 7 +12 + 21 = 82 feet
hope this will help you ...
4xy+16x≈+40 what is the answer...please hurry
Answer:
X = 10/(y-4)
Step-by-step explanation:
4X(y-4) = 40
X(y-4) = 10
X = 10/(y-4)
Improvements in which area would help reduce the possibility of damage to the environment when using uranium as a fuel?
more-efficient extraction techniques
better control of fusion reactions
stronger-pumping wells
thicker shielding around the reactor
Answer:
Improvements in which area would help reduce the possibility of damage to the environment when using uranium as a fuel?
A.) more-efficient extraction techniques
Step-by-step explanation:
To curb these detrimental effects, it is required to provide more-efficient extraction techniques when using uranium as a fuel.
What are environmental pollutants?Environmental pollutants are substances released into the natural environment that cause negative effects, such as damaging health or inflicting various sorts of damage.
Uranium mining has far-reaching consequences, polluting the environment with radioactive particles, radon gas, water-borne pollutants, and higher concentrations of radiation levels.
To curb these detrimental effects and to improve the possibility of damage caused to the environment, it is required to provide more-efficient extraction techniques when using uranium as a fuel.
Learn more about environmental pollutants here:
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Write an equation for the black line shown:
Complete the equation below
y = _______________
Use x as your variable.
Answer:
Step-by-step explanation:
3x+2
Answer for 30 points. picture is attached
y − 18 = 6(2 − 3y + 10) + y
Solve for y
Answer: y = 5
Step-by-step explanation:
Let's solve your equation step-by-step.
y−18=6(2−3y+10)+y
Step 1: Simplify both sides of the equation.
y−18=6(2−3y+10)+y
y+−18=(6)(2)+(6)(−3y)+(6)(10)+y(Distribute)
y+−18=12+−18y+60+y
y−18=(−18y+y)+(12+60)(Combine Like Terms)
y−18=−17y+72
y−18=−17y+72
Step 2: Add 17y to both sides.
y−18+17y=−17y+72+17y
18y−18=72
Step 3: Add 18 to both sides.
18y−18+18=72+18
18y=90
Step 4: Divide both sides by 18.
18y 90
18 = 18
y = 5
A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is the 90% confidence interval for the mean score, , of all students taking the test?
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
What is the value of x? 1/3square root 2 units, 1/2 square root 3 units
Answer:
12
Step-by-step explanation:
A duck population is modeled by
Pn=200⋅(1.02)n
where n is the number of years after the year 2010. How many ducks does the model predict for the year 2025? Round to the nearest whole number of ducks.
Answer:
3060 ducks
Step-by-step explanation:
There are 2 possibilities here. We can plug in 15 for n since 2025 is 15 years after 2010, or we can graph it and find the value.
If we do the first method, we have
[tex]P=200*1.02(15)\\P=3060[/tex]
So the population in 2025 is 3060 ducks.
We can check our answer by graphing on a calculator. If we enter the equation and then use calc>value we can see that when x=15, y=3060.
Hope this helps!
is 8/20 and 20/80 proportional or not proportional
Answer:
not proportinal hope it helps you
Write
3
8
as a decimal.
Enter
Copyright © 2003 - 2020 Acellus Corporation. All Rights Reserved.
Answer:
the answer is 0.375
Step-by-step explanation:
hope this helps
please help asap!! :)
Answer:
16 inches
Step-by-step explanation:
you would do 24-8 and get 16
Is this a proportional relationship?
A runner runs 6 miles per hour for 3 hours
Proportional
Non-proportional
Answer:
ProportionalStep-by-step explanation:
Step one:
given data
We have a question to answer
given that the speed is 6 mph and the time taken is 3 hours
v= 6mph, t= 3, distance =?
distance= speed * time
distance= 6*3= 18miles
From the distance calculated, we can see that there exist a proportional relationship, lets say the time taken is 4 hours, then the distance will be
distance= 6*4= 24 miles.
hence the distance traveled is proportional to the time taken
factor the following expression[x squared minus x minus 12]
x2-x-12
Answer:
[tex]x^2-x-12=(x-4)(x+3)[/tex]
Step-by-step explanation:
Factoring a Trinomial
A trinomial is expressed in the form
[tex]ax^2+bx+c[/tex]
Where a,b, and c are real constants.
Some trinomials can be factored as the product of binomials with real coefficients, while others cannot.
If possible, factoring can be done in several ways:
Factoring out the GCF. The sum-product pattern (by inspection).The grouping method. The perfect square trinomial pattern. The difference of squares pattern.Knowing the rootsEach method is most likely applicable under certain circumstances. When the polynomial has a leading coefficient of a=1, the sum-product pattern is the fastest and easiest option.
We have the polynomial
[tex]x^2-x-12[/tex]
Here: a=1, b=-1, c=-12
The sum-product method needs us to find two numbers which sum is -1 and product is -12. Those numbers can be found by inspection by combining two divisors of 12, say 1 and 12, 2 and 6, or 3 and 4.
Only one of those pairs can be combined to produce a sum or subtraction equal to -1: Those numbers are -4 and 3. Thus the factorization is:
[tex]\mathbf{x^2-x-12=(x-4)(x+3)}[/tex]