Answer:
1) future value = present value x [1 + (i x n)] = $300 x [1 + (3.5% x 4)] = $342
2) using the compound interest formula:
future value = $225 x (1 + 4.1%)¹°⁵ = $238.98
Using the simple interest formula doesn't yield the same answer = $225 x [1 + (4.1% x 1.5)] = $238.84. In this case it is close due to a very short period of time and low interest rate.
3) future value = present value x (1 + i)ⁿ = $1,700 x (1 + 6%)⁴ = $2,146.21
since the interest is annual, we must convert 48 months to 4 years
given the function f (x) = 2(x + 4), find x if f (x) = 20
Answer:
x=6
Step-by-step explanation:
f(x)=2(x+4)
20=2(x+4)
10=x+4
6=x
x=6
please someone help me out on this
Answer:
I think it is C
Step-by-step explanation:
im sorry if i am wrong
Answer:
I think it is supplementary, I may be wrong but I googled supplementary angles and the examples kinda looked like that.
In October of 2019, Gallup asked a random sample of 1,506 Americans which of two approaches to punishing murder they thought was better, the death penalty or life without possibility of parole. For the first time since Gallup began asking the question in 1985, a majority of Americans now say life imprisonment is a better approach for punishing murder than is the death penalty. According to the 2019 Gallup death-penalty poll, 60% percent of Americans asked to choose whether the death penalty or life without possibility of parole "is the better penalty for murder" chose the life-sentencing option. 36% favored the death penalty.
Required:
a. Find a 95% confidence interval for the proportion adults in the US that now believe life imprisonment is a better approach for punishing murder.
b. Interpret your interval above in the context of this problem.
c. Use your interval to find the margin of error associated with this confidence interval.
d. If we increase the level of confidence to 98%, will the interval be wider or narrower?
Answer:
a
The 95% confidence interval is [tex]0.5753< p <0.62474[/tex]
b
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
c
The margin of error is [tex]E = 0.02474 [/tex]
d
The confidence interval becomes wider
Step-by-step explanation:
From the question we are told that
The sample size is n = 1506
The sample proportion is [tex]\^ p = 0.60[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } [/tex]
=> [tex]E = 0.02474 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.60 - 0.02474 < p <0.60 + 0.02474[/tex]
=> [tex]0.5753< p <0.62474[/tex]
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
Generally the level of confidence varies directly with the critical value of [tex]\frac{\alpha }{2}[/tex] and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider
How do you solve these angles again?
Answer:
(2x+2)
=98
(x+34)
=82
Step-by-step explanation:
a straight line adds up to 180
(2x+2)+(x+34)=180
x+2+x+34=180
(2x+x)+(2+34)=180(Combine Like Terms)
3x+36=180
3x+36=180
Step 2: Subtract 36 from both sides.
3x+36−36=180−36
3x=144
Step 3: Divide both sides by 3.
3x/3=144/3
x=48
Now you have your x just substitute it in
(2x+2)
=98
(x+34)
=82
If answers not right i am sorry but i tried
17 times the sum of a number, n, and 31 is 300. Write as an equation.
Answer:
17(n+31)=300
Step-by-step explanation:
17 times the sum of a number, n and 31 is 17(n+31)
and then set that equal to 300
Enter an Integer to represent the situation.
a $535 profit
Answer:
67
Step-by-step explanation:
Took a test
12 cookies for 3 students rate and unit rate
Answer:
3:12 1:4
Step-by-step explanation:
Hope this helps! (^-^)
Answer: 4 cookies per student.
Step-by-step explanation:
his is a fraction equal to
12 cookies ÷ 3 students
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3
12 cookies ÷ 3
3 students ÷ 3
=
4 cookies
1 student
=
4 cookies
student
= 4 cookies per student
Evaluate the given integral by making an appropriate change of variables. 3 x − 6y 8x − y dA, R where R is the parallelogram enclosed by the lines x − 6y
Answer:
Step-by-step explanation:
Hope this helps!
Please mark brainliest!
Oh if you need more information here is a more of an explanation
You get x and y in terms of u and v by setting u=x-2y and v=3x-y and then doing some systems of equations. You get the Jacobian by taking the partial derivatives of x and y with respect to u and v (using the equations x=(2v-u)/5 and y=(v-3u)/5) and then taking their determinate.
What should be subtracted from 538 to get reminder 3 when divided by 11
Answer:
4
Step-by-step explanation:
Answer: 7
Step-by-step explanation: 538÷11=48 + 10
so to get remainder 3 subtract 7 from 538
This exponential function has a base of 1.4 and an initial amount of 17. Its graph
is shifted 3 units left and 5 units up.
Answer:
-2.4 and 22
Step-by-step explanation:
The diameter of a circle is 6 millimeters. What is the circle's area?
d=6 mm
Use 3.14 pi
Answer:
28.26 mm
Step-by-step explanation:
The equation used to solve for the area of a circle is;
A=pi x r^2.
The radius is half the diameter, 6mm/2= 3mm.
A= 3.14 x 3^2
3^2= 9
3.14 x 9 = 28.26 mm
or you could just type 3.14 x (3^2) = 28.26mm
A movie theater charges $7.50 for adults and $4.50 for children. For a recent showing of the movie "Maleficent," the
theater sold 43 tickets and made a total of $238.50. How many children's tickets and how many adult tickets were sold?
Answer
9 and 10
Step-by-step explanation:
(I'm not going to get an answer in time, but this is for people in the future who are going to need it)
Which reigon represents the solution to the given system of inequalities
Answer:
I think the answer is B.
Which are equivalent expressions for root(3, 27 ^ 2) Select all that apply.
Answer:
the second one gives the same answer as the one in the question
What is the result of 72 divided by 12? 6 8 9 12
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Hope this helps!!!!!!
Help me plzzz i need help.
Answer:
Perimeter: 7.8Area: 3.1Step-by-step explanation:
Perimeter = all sides added up together2.8 + 2.8 + 1.1 + 1.1 = 7.8Area = L × W2.8 × 1.1 = 3.08Round 3.08 to the nearest tenth: 3.08 → 3.1I hope this helps!
David bought 3 1/3 fabric . How much is this in feet?
Answer:10 feet, I think
Step-by-step explanation:
If N(k) is the inverse of K(n) and N(12) = 4, then K(4) = 12
Answer:True
Step-by-step explanation:
what is an equation for the translation of y=|x| left 7 units?
Answer:
y=|x+7|
Step-by-step explanation:
to move an absolute value equation to the left, all you have to do is add 7 to the inside of the absolute value:
y=|x+7|
We can check that this works, because the x-intercept moved from (0, 0) to (0, -7), meaning that the whole graph got translated 7 units to the left.
help pls this is due today:(
Answer:
5cm
Step-by-step explanation:
a^2+b^2=c^2
9+16=x^2
25=x^2
x=5
Hope this helps!
Erasers cost 45 cents a piece. Notebooks cost 90 cents a piece . Karla spent $18 for a total of 28 erasers and notebooks . How many did she buy ?
Answer:
12 Notebooks And 16 Erasers
Step-by-step explanation:
Let x represent the number of notebooks and y represent the number of erasers. (x+y=28) Then, input the cent numbers into the equation. (90x+45y=1800) The 1800 represents the amount of dollars spent. Then simplfy the equation, which gives you 12 notebooks and 16 erasers.
Each airline passenger and his or her luggage must be checked to determine whether he or she is carrying weapons on to the airplane. Suppose that at O’hare International Airport, an average of 10 passengers per minute arrive (interarrival times are exponential). To check passengers for weapons, the airport must have a checkpoint consisting of a metal detector and baggage X-ray machine. Whenever a checkpoint is in operation, two employees are required. A checkpoint can check an average of 12 passengers per minute (the time to check a passenger is exponential). Under the assumption that the airport has only one checkpoint, answer the following questions:
a. What is the probability that a passenger will have to wait before being checked for weapons?
b. On the average, how many passengers are waiting in line to enter the checkpoint?
c. On the average, how long will a passenger spend at the checkpoint?
Answer:
a
[tex]P_k = 0.83[/tex]
b
[tex]N_{\mu} \approx 4 \ passengers[/tex]
c
[tex]T_{\lambda} = 0.5 \ minutes[/tex]
Step-by-step explanation:
From the question we are told that
The average number of passengers that arrive per minute is [tex]\lambda = 10[/tex]
The average number of check that can be carried out in one minute is [tex]\mu= 12[/tex]
Generally the probability that a passenger will have to wait before being checked for weapons is mathematically represented as
[tex]P_k = \frac{\lambda }{ \mu }[/tex]
=> [tex]P_k = \frac{10 }{ 12}[/tex]
=> [tex]P_k = 0.83[/tex]
Generally the number of passengers are waiting in line to enter the checkpoint is mathematically represented as
[tex]N_{\mu} = \frac{\lambda^2}{\mu (\mu -\lambda) }[/tex]
=> [tex]N_{\mu} = \frac{10^2}{12 (12 -10) }[/tex]
=> [tex]N_{\mu} \approx 4 \ passengers[/tex]
Generally the average time a passenger spend at the checkpoint is mathematically represented as
[tex]T_{\lambda} = \frac{ \frac{\lambda}{(\mu - \lambda)} }{ \lambda}[/tex]
=> [tex]T_{\lambda} = \frac{ \frac{ 10}{(12 - 10)} }{10}[/tex]
=> [tex]T_{\lambda} = 0.5 \ minutes[/tex]
X⁴ - 2x³- 11x² + 30x - 20 entre x² + 3x - 2
Anybody know the answer to this?
Answer:
The answer is 18
Step-by-step explanation:
Substitute b for -3 and y for 5 so 3*5=15
You then subtract -3 from 15 so a negative minus a negative is a positive so the equation would be 3*5=15--3= 3*5=15+3=18
Answer:
3*5 - -3 = 18
Hhhhhheellllppppppp asap
Answer:
A
Step-by-step explanation:
Answer:
i think A is the answer
Step-by-step explanation:
5.5 is worth more than 5.05 is this is not what ur asking plz clarify :)
Consider RS endpoints R(-2,1) and S(4,4) Find point Q that is 2/3 away NEED THIS ASAP PLEASE ANSWER
The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.
Answer:
The point Q is (2,3)
Step-by-step explanation:
Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).
The required point Q must satisfy the relation:
d(RQ) = 2/3 d(RS)
Where d is the distance between two points.
The horizontal and vertical axes also satisfy the same relation:
x(RQ) = 2/3 x(RS)
[tex]x_R-x_Q=2/3(x_R-x_S)[/tex]
And, similarly:
[tex]y_R-y_Q=2/3(y_R-y_S)[/tex]
Working on the first condition:
[tex]-2-x=2/3(-2-4)=2/3(-6)[/tex]
Removing the parentheses:
[tex]-2-x=-4[/tex]
Adding 2:
[tex]-x = -2[/tex]
x = 2
Similarly, working with the vertical component:
[tex]1-y=2/3(1-4)=2/3(-3)[/tex]
Removing the parentheses:
[tex]1-y=-2[/tex]
Subtracting 1:
[tex]-y = -3[/tex]
y = 3
The point Q is (2,3)
1 point
6. Precipitation for the month of March was 4 inches less than average. In
April the precipitation was 14 inches less than average. How many inches
below average was the precipitation for both March and April?
Answer:
4 inches because March was 4 so april has to be 4 too
Step-by-step explanation:
Please help me as fast as you can please
Answer:
A B and D
Step-by-step explanation:
answers A B and E are correct because you started with 4500
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.
Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?
Answer:
multiply 1 1/3 by 8x6 and see how many packages
I need help on this question
Answer:
B. 63 degrees
Step-by-step explanation:
Its the same angle as the one above it.
I hope this helps :)
Have a nice day!
Answer:
B
Step-by-step explanation:
If lines AB and CD are parallel, then angle h is equal to 63 degrees