Answer:
a. You are looking for an annuity that will give $41,000 in 5 years with a quarterly compounding rate of 4.25%.
Convert periods and interest to quarterly rate.
Period = 5 * 4 = 20 quarters
Interest = 4.25 / 4 = 1.0625%
41,000 = Annuity * ( [ 1 + i ] ^n - 1 )/i
41,000 = Annuity * ( [ 1 + 1.0625%]²⁰ - 1) / 1.0625%
41,000 = Annuity * 22.1534596596
Annuity = 41,000 / 22.1534596596
= $1,851
b. There were 20 payments of $1,851 made which totals:
= 1,851 * 20
Cash from deposits = $37,020
Cash from interest = 41,000 - 37,020 = $3,980
Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to work, 35% bring a laptop with them, 16% both check work email and use a cell phone to stay connected, and 42.8% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition, 88 out of every 100 who bring a laptop also check work email, and 70 out of every 100 who use a cell phone to stay connected also bring a laptop.
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
Answer:
a. 0.4
b. 0.6
c. 0.6493
Step-by-step explanation:
p(checking work email) = p(A) = 0.40
p(staying connected with cell phone) = p(B) = 0.30
p(having laptop) = p(c) = 0.35
p(checking work mail and staying connected with cell phone) = p(AnB) = 0.16
p(neither A,B or C) = p(AuBuC)
= 1-42.8%
= 0.572
p(A|C) = 88% = 0.88
p(C|B) = 70% = 0.7
a. What is the probability that a randomly selected traveler who checks work email also uses a cell phone to stay connected?
p(B|A) = p(AnB)/p(A)
= 0.16/0.4
= 0.4
b. What is the probability that someone who brings a laptop on vacation also uses a cell phone to stay connected?
p(B|C) = P(C|B)p(B)/p(C)
= 0.7x0.3/0.35
= 0.6
c. If the randomly selected traveler checked work email and brought a laptop, what is the probability that he/she uses a cell phone to stay connected?
p(A|BnC)
= P(BnAnC)/p(AnC)
= p(AnC) = p(A|C).p(C)
= 0.88x0.35
= 0.308
p(AnBnC) = p(AuBuC)-p(a)-p(b)+ p(AnB)+p(AnC)+p(BnC)
p(BnC) = 0.7x0.3
= 0.21
p(AnBnC) = 0.572-0.4-0.3-0.35+0.16+0.308+0.21
= 0.2
p(A|BnC) = 0.2/0.308
= 0.6493
Answer:
which ever one you want its an opinion answer.
Step-by-step explanation:
Point A is at (-2, 4) and point B is at (7,3).
What is the midpoint of line segment AB?
Answer:
(2.5,3.5)
Step-by-step explanation:
Omni calculator
Answer:
(2.5, 3.5)
Step-by-step explanation:
The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?
Yep me out please where can I found the value of x in the triangle at the right?
Which linear inequality represents the graph below?
(0,4)
(2,4)
Answer:
c
Step-by-step explanation:
slope of red line=(-4-4)/(2-0)=-8/2=-4
eq. of red line is y-4=-4(x-0)
y=-4x+4
put x=0,y=0
0=0+4
which is true if 0<4
so y<-4x+4
The linear inequality represents the graph fr the coordinates (0,4), (2,-4) is y < -4x + 4.
What is linear inequality?Expressions with linear inequalities compare any two values using inequality symbols like "<", ">" , "≤" or "≥" These values could be either numerical, algebraic, or both.
Calculation for linear inequality shown by graph:
The coordinates of the straight line are (0,4), (2,-4).
Substitute the value in equation shown in option C.
y < -4x + 4
For points (0,4), put x = 0 and find y.
y < -4×0 + 4
y = 4 , which is satisfied.
Now consider points (2, -4)
Put x = 2 in the same equation and find y.
y < -4×2 + 4
y = -4 ( which again satisfies the given value for y)
Therefore, the equation y < -4x + 4 satisfies the points given for straight line.
To know, how to find equation of line for any point?, here
https://brainly.com/question/18831322
#SPJ2
Need help!!! Wil mary brainlyest!
Answer:
-17/5/11/10
=-17/5*10/11=-34/11=
[tex]3 \: \div1 \div 11[/tex]
Hope it helps
Answer:
Easy. The answer is -3 1/11
Step-by-step explanation:
-17/5/11/10
-170/55
-3 1/11
What is the value of x?
Answer:
x=2
Step-by-step explanation:
so u have 7 as the whole length.
and 5 of the 7 is filled
so u do this 7-5=2
True or False: If you are tossing three dice, ={2,3,4,5,6}
is an event in that sample space.
false
true
I think is true
Please let me know if it right
Cynthia walk 9/100 Miles to school and 3/10 Miles friends house how many miles does Cynthia walk total
Answer:
12 Miles
Step-by-step explanation:
Expand. Your answer should be a polynomial in standard form. (d^2+3)(d^2+2d+1)=(d 2 +3)(d 2 +2d+1)=left parenthesis, d, squared, plus, 3, right parenthesis, left parenthesis, d, squared, plus, 2, d, plus, 1, right parenthesis, equals
Answer:
A= d^4-d^2-6
Step-by-step explanation:
I have khan academy and the other answer is wrong
PLZ HELP ME WITH THIS NEED THE ANSWER NOW PLSSSSSSSSS THIS IS 7TH GRADE AMTH
Answer:
Just by the looks at it P has the greater slope I think but graph it to make sure cause I might be wrong.
Answer:
Function 2
Step-by-step explanation:
What is the solution to the equation below? Round your answer to two
decimal places.
-
24x = 127
Answer:
x = 5.29
Step-by-step explanation:
24x = 127
Divide both sides by 24.
x = 127/24
x = 5.29
What is the angle of elevation of the sun when a 42-ft mast casts 16 ft shadow?
thanks
Answer:
Heres how you do it
Step-by-step explanation:
10+2 =12 which means 72
Jada has read 7/10 of a book. The book has 80 pages. How many more pages does she need to read before she is done with the book?
Answer:
24 More Pages
Step-by-step explanation:
7/10=0.7=70%
70% of 80 = 56
80 - 56 = 24
24 More Pages
Answer: 24 pages
Step-by-step explanation:
7 x
10 80
560=10x
÷10 ÷10
56=x
56 pages already read
80-56=24
24 pages left
Which pair of triangles can be proven congruent by SAS?
AA
Find the value of y when
2x. + 6y = 1
Fast please!!!???
Christine is selling tickets at a museum. She knows that she has sold at least 40 tickets. The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars. If she knows she has sold no more than $720 worth
of tickets, what are the possible combinations?
Answer:
Adult tickets cost $80, children ticket cost $40
Step-by-step explanation:
Given data
let the number of adults be x
and the number of children be y
so
x+y= 40-------------1
The adult tickets
cost 14 dollars and the children’s tickets cost 12 dollars.
14x+ 12y= 720-------2
solve 1 and 2
x+y= 40
14x+ 12y= 720
from 1
x= 40-y
put this in 2 in place of x
14(40-y)+12y= 720
560-14y+12y= 720
collect like terms
-2y= 720-560
-2y= 160
y= -160/2
y= -80
put y= 80 in 1
x+80= 40
x= 40-80
x= -40
Hence Adult tickets cost $80, children ticket cost $40
PLEASE HELP
If x = 3x + 4 - 1 , then what does -x equal?
Answer:
-4/5 = x
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
x = 3x + 4 - 1
we can subtract 1 from 4
x = 3x + 3
subtract 3x from both sides
-2x = 3
divide both sides by -2
x = -3/2
so -x would equal -(-3/2) = 3/2
What is the coefficient for x in the equation below?
7x + x = 14
a 7
b 1
c 2
d 10
Maria is x old her sister is twice her age write an expression in simplest form that represents the sum of the ages of the two sisters
Answer:
x*2=y+x= both
Step-by-step explanation:
y would be her sister age, you would have to multiply Marias age by 2 to get her sisters age since her sister is twice her age then you have to add them together to get the sum of both their ages.
Example: maria is 16
16*2=32+16=48
so the sum of both of their ages is 48 (JUST AN EXAMPLE)
help me with this fast and explain it for brainiest :)
So i think it would be 1/2 (OR .5), or possibly 2 depending on what its asking.
Every number in X can be multiplied by 2 to receive y, or the numbers in y.
The linear equation would be x*2=y, making the linear function 2, UNLESS you want to take Y and DIVIDE it by 2, making it 1/2, linear equasion would be y*.5=x, or y/.5=2 OR y*1/2=x.
Hope this helps, I'm so sorry if its wrong, I'm not too good at linear functions, I'm pretty sure its 1/2.
What does (a+b+c)²=?
Answer:
a²+b²+c²+2ab+2bc+2ca
What is the area of a circle that has a radius of 5 meters
Answer:
Step-by-step explanation:
area of circle = pi* r^2
Area = (3.14)*(5)^2
area= 78.5 m^2
Step-by-step answer:
The formula for the area of a circle is pi•r², so substitute 5 in for r.
pi•5²
Now, simplify the equation. Use PEMDAS.
There are no Parentheses, so we move on to Exponents.
pi•25
Now, we move to Multiplication.
P.S. If you are using 3.14 for pi, your answer is 78.5; otherwise, your answer is below.
78.53981634
Plzzzzz give me Brainliest!!!!!
PLZ answer this soon!!!!
Answer:
8 -4
Step-by-step explanation:
Help me find the volume of the composite figure
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
Solve the equation:
8x + 6 – 9x = 2 - X + 4
In ΔABC , angle C is a right angle.
Which statement must be true?
A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B
Answer: Choice A. sin(A) = cos(B)
============================================================
Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/ABSince both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
What is the remainder for 1,259/6?
Answer:
209 R 5
Step-by-step explanation:
Hope this helps
Answer: 209.833333333
Step-by-step explanation:
1259 6 = 209.833333333
209.833333333 = 2098.33333333 to the nearest tenth
209.833333333 = 209.83 to the nearest hundredth
209.833333333 = 209.833 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
1259 divide by half plus 20
HWA: (1259/2) + 20 = 649.5
1259 divide by half plus 40
HWA: 1259/2) + 40 = 669.5
1259/6 divided by 2
Answer: (1259/6) ÷ 2 = 104.916666667
A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time
Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
300
T(W) =
530-W
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.
Answer:
Step-by-step explanation:
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours
What is an approximation?An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.
Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).
The value of approximation will be calculated as
T(W) = ( 300 ) / ( 530 -W).
T(110) = ( 300 ) / ( 530 - 110)
T(110) = (300 ) / ( 420)
T(110) = 0.714
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.
To know more about an approximation follow
https://brainly.com/question/2457740
#SPJ5
Mojave art club is selling t shirts for a fundraiser. A local company charges $35 to set up the logo and $4.25 per t shirt if x t shirts are printed by the business.
If the art club charged $10 per shirt how many shirts would need to be sold to cover their costs?
function C(x)=35+4.25x/x
Answer:
At least 7 shirts would need to be sold to cover their costs
Step-by-step explanation:
Cost of producing x t-shirts.
The cost of producing x t-shirts is a flat fee of 35 plus 4.25 per t-shirt. So
[tex]C(x) = 35 + 4.25x[/tex]
Earnings of selling x t-shirts:
Charges $10 per t-shirt, so it earns 10 for each t-shirt it sells.
[tex]E(x) = 10x[/tex]
How many shirts would need to be sold to cover their costs?
To cover the costs, we need that the earnings are equal or higher than the costs. So
[tex]E(x) \geq C(x)[/tex]
[tex]10x \geq 35 + 4.25x[/tex]
[tex]5.75x \geq 35[/tex]
[tex]x \geq \frac{35}{5.75}[/tex]
[tex]x \geq 6.09[/tex]
Since we cannot sell a decimal part of a shirt, at least 7 shirts would need to be sold to cover their costs