Answers
Answer:
Question (2). Option (D)
Question (3). (a). 56
(b). 84
Step-by-step explanation:
Question (2).
Since, a% of b = [tex]\frac{a}{100}\times b[/tex]
42% of 350 = [tex]\frac{42}{100}\times 350[/tex]
Therefore, Option (d) is the correct option.
Question (3).
Total number of people who attended the music concert = 700
a). Percentage of people who arrived late in the concert = 8%
Therefore, number of people who attended the concert = 8% of 700
= [tex]\frac{8}{100}\times 700[/tex]
= 56
b). Percentage of people who bought the shirt = 12%
Number of people who bought the shirt = 12% of 700
= [tex]\frac{12}{100}\times 700[/tex]
= 84
Related Questions
Tosh. Inc.'s bonds currently sell for $980 and have a par value of $1,000. They pay a $95 annual coupon and have a 12-year maturity, but they can be called in 3 years at $1,150. What is their yield to call (YTC)?
Answers
Answer:
14.24%
Step-by-step explanation:
We have found that the yield to call (YTC) formula is:
YTC = [C + (F-P) / N] / [(F + P) / 2]
Where:
C = Periodic coupon amount = 95
P = Current Price = 980
F = Redemption amount = 1150
N = time left to redemption = 3
We replace:
YTC = [95 + (1150-980) / 3] / [(1150 + 980) / 2]
YTC = 0.1424
In other words, the yield to call (YTC) is equal to 14.24%
QUESTION 4 (10 MARKS)
A retired couple requires an annual return of $2,000 from investment of $20,000. There are 3
options available:
(A) Treasury Bills yielding 9%;
(B) Corporate bonds 11%;
Junk Bonds. 130%
How much should be invested in each to achieve their goal? Give 3 sets of options that can
achieve their goal.[10 Marks]
Answers
Answer:
(T, C, J) = (in dollars)
(10000, 10000, 0),
(15000, 4915.97, 84.03),
(18181.82, 1680.67, 137.51)
Step-by-step explanation:
There are a number of ways to approach this question. We have chosen an approach that determines the investments required to achieve interest rate targets.
__
For an overall interest rate of I, the proportion that must be invested at rate I1 < I < I2 is ...
proportion at I1 = (I2 -I)/(I2 -I1)
Similarly, the proportion that must be invested at I2 is what's left over. It can be computed similarly:
proportion at I2 = (I -I1)/(I2 -I1)
__
We want an overall interest rate of $2000/$20000 = 10%.
Given available interest rates of 9%, 11%, and 130%, we need to have investments at a rate lower than 10% and at a rate higher than 10%.
If we use only the options for 9% and 11% (no junk bonds), then we can compute ...
proportion at 9% = (11 -10)/(11 -9) = 1/2
proportion at 11% = (10 -9)/(11 -9) = 1/2
1st Option:
$10,000 in treasury bills; $10,000 in corporate bonds
__
Suppose we want to achieve a 13% return on our investments at 11% and 130%. Then the proportion invested at 9% will use this value for I2:
proportion at 9% = (13 -10)/(13 -9) = 3/4
Of the remaining 1/4 of the money, we can achieve a 13% return by mixing the investments like this:
proportion at 11% = (130 -13)/(130 -11) = 117/119
proportion at 130% = (13 -11)/(130 -11) = 2/119
2nd option:
$20,000 × 3/4 = $15,000 in treasury bills
$5000 × 117/119 = $4,915.97 in corporate bonds
The remaining amount, $84.03 in junk bonds
__
Let's suppose we want a 20% return on our investment in junk bonds and corporate bonds. Then the proportion of the money invested at 9% will be ...
proportion at 9% = (20 -10)/(20 -9) = 10/11
And the proportion at 11% will be ...
proportion at 11% = (130 -20)/(130 -11) = 110/119 . . . (of the remaining 1/11 of the funds)
3rd option:
$20,000 × 10/11 = $18,181.82 in treasury bills
$1,818.18 × 110/119 = $1,680.67 in corporate bonds
The remaining amount, $137.51 in junk bonds
_____
Additional comment
The most that could be invested in Junk Bonds is $165.29. If the remainder is invested in Treasury Bills, then the overall return will be $2000. (You could consider this to be a 4th option.)
Help me find the equation and tell me if 22 or 12 is wrong
Answers
Answer:
your answer is correct.
Find m2WXY
59
X
D
24°
A 250
B. 26
C. 81
D. 839
Answers
Answer: d. 83
Step-by-step explanation: 59+ 24 = 83
Answer:
D. 83 degrees
Step-by-step explanation:
Angle WXY is made up of two angles, angle WXD and angle YXD.
Therefore, angle WXY will be equal to the sum of angle WXD and YXD.
So, we can add angles WXD and YXD together to find out what the measure of angle WXY is.
<WXY= <WXD + <YXD
We know that angle WXD is 24 degrees and angle YXD is 59 degrees.
<WXD= 24
<YXD= 59
<WXY= 24+59
Add 24 and 59
<WXY=83
The measure of angle WXY is 83 degrees, so choice D is correct.
Find the missing length
Answers
Answer:
x = 25
Step-by-step explanation:
We have 2 similar triangles:
1) with hypotenuse 15 and short leg 9,
2) with hypotenuse x and short leg 15.
For similar triangles we can write a proportion for corresponding sides.
hypotenuse 1: leg1 = hypotenuse 2 : leg 2
15 : 9 = x : 15
9x = 15 * 15
x = 15*15/9
x = 25
conditinal probability question. please help! :)
Answers
Answer:
P(A|B) = 1 / 6
Step-by-step explanation:
Assuming two fair sided dice with faces numbered 1 to 6.
By intuition, there can only be 6 possible outcomes, so probability is 1/6.
Illustration how to use conditional probability.
Given two events A, B, following is the equation of conditional probability
that A happens given B has already happened and observed.
P(A|B) = P( A intersect B ) / P(B)
In the given problem,
A = casting a double-six
B = casting a double
P(A) = (1 / 6) * (1 / 6) = 1/36
P(B) = (6/6) * (1/6) = 1/6
P(A|B) = 1/36 / (1/6) = 1/6
50 points + brainliest!
Answers
Answer:
( x+2) ^2 = 11
x =1.32,-5.32
Step-by-step explanation:
x^2 + 4x -7 = 0
Add the constant to each side
x^2 + 4x -7+7 = 0+7
x^2 + 4x = 7
Take the coefficient of the x term
4
Divide by 2
4/2 =2
Square it
2^2 = 4
Add this to each side
x^2 + 4x +4 = 7+4
Take the 4/2 as the term inside the parentheses
( x+2) ^2 = 11
Take the square root of each side
sqrt( ( x+2) ^2) =±sqrt( 11)
x+2 = ±sqrt( 11)
Subtract 2 from each side
x = -2 ±sqrt( 11)
To the nearest hundredth
x =1.32
x=-5.32
Answer:
[tex](x+2)^2=11[/tex]
[tex]x=-2 \pm \sqrt{11}[/tex]
Step-by-step explanation:
[tex]x^2+4x-7=0[/tex]
[tex]x^2+4x=7[/tex]
[tex]x^2+4x+4=7+4[/tex]
[tex](x+2)^2=11[/tex]
[tex]x+2=\pm\sqrt{11}[/tex]
[tex]x=-2 \pm \sqrt{11}[/tex]
Pls help asap What is the number of degrees in the acute angle formed by the hands of a clock at 6:44?
Answers
Answer:
264 degree angle
Step-by-step explanation:
Help ASAP it’s Math I need this rightnow 31 points
Answers
Answer:
AC (b)
Step-by-step explanation:
Since 10 is half of 20, you have to find the variable closest to the middle. Which in this case, is C. So, your awnser is B. (AC)
Answer:
[tex]\boxed{\sf C}[/tex]
Step-by-step explanation:
The whole segment is [tex]\sf \sqrt {20}[/tex], we can see that AD is approximately 75% of the segment AE.
[tex]75\%*\sqrt{20} = 3.354102[/tex]
[tex]\sqrt{10}= 3.162278[/tex]
AC is almost half of AE.
[tex]\frac{\sqrt{20} }{2} = 2.2360679775[/tex]
[tex]\sqrt{10} = 3.16227766017[/tex]
It isn’t close to the option C.
A rectangle has a width of 3/4 inches and a length of 9/10 inches. Another rectangle
is larger but still proportional to the first rectangle. It has a width of 30 inches and a length of 36 what proportion could model this situation
Answers
Answer:
Bigger size / smaller size = 40
Step-by-step explanation:
Notice that we
36 / (9/10) = 30 / (3/4) = 40
Therefore the proportion model would be
Bigger size / smaller size = 40
In a survey of 2257 adults, 716 say they believe in UFOs.
Construct a 99% confidence interval for the population proportion of adults who believe in UFOs.
A 99% confidence interval for the population proportion is (0.292.0.3427)
(Round to three decimal places as needed.)
Interpret your results. Choose the correct answer below.
O A. With 99% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
OB. The endpoints of the given confidence interval shows that 99% of adults believe in UFOs.
C. With 99% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
XD. With 99% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
Answers
Answer:
C. With 99% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
Step-by-step explanation:
A confidence interval let us make an inference about a population parameter from a sample statistic. In this case, a sample proportion let us infere aout the population proportion with a certain degree of confidence.
With this confidence interval, we are 99% confident that the polpulation proportion falls within this interval. This means that there is 99% chances of having the population proportion within this interval.
To estimate the population proportion of adults who do not believe in UFO's we should have to construct another confidence interval with the proportion (1-p), but this parameter can not be estimated from the confidence interval for p.
A committee has members. There are members that currently serve as the board's . Each member is equally likely to serve in any of the positions. members are randomly selected and assigned to be the new . What is the probability of randomly selecting the members who currently hold the positions of and reassigning them to their current positions? The probability is nothing.
Answers
Complete Question
A committee has six members. There are three members that currently serve as the board's chairman comma vice chairman comma and treasurer . Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the new chairman comma vice chairman comma and treasurer . What is the probability of randomly selecting the three members who currently hold the positions of chairman comma vice chairman comma and treasurer and reassigning them to their current positions?
The probability is ?
Answer:
The probability is [tex]P(3 ) = \frac{ 1 }{20 }[/tex]
Step-by-step explanation:
From the question we are told that
The total number of members is n = 6
The number of member to be selected is r = 3
Generally the number of ways of selecting 3 members from 6 is mathematically evaluated as
[tex]\left n } \atop {}} \right. C _r = \frac{n! }{(n-r ) ! r !}[/tex]
=> [tex]\left 6 } \atop {}} \right. C _ 3 = \frac{6 ! }{(6-3) ! 3 !}[/tex]
=> [tex]\left n } \atop {}} \right. C _r = \frac{6* 5* 4 * 3! }{3 ! 3*2 * 1}[/tex]
=> [tex]\left n } \atop {}} \right. C _r = \frac{6* 5* 4 }{3 *2 * 1}[/tex]
=> [tex]\left n } \atop {}} \right. C _r =20[/tex]
Now the number of ways of selecting the 3 members who currently hold the position is n = 1
So the probability is mathematically represented as
[tex]p(k ) = \frac{ n }{\left n } \atop {}} \right. C _r }[/tex]
substituting values
[tex]P(3 ) = \frac{ 1 }{20 }[/tex]
At a deli counter, there are sandwiches with meat and vegetarian sandwiches. Kira is at the counter buying sandwiches for a picnic. In how many ways can she choose sandwiches if fewer than must be vegetarian sandwiches
Answers
Answer:
The number ways to choose between meat and vegetarian sandwiches can be computed using computation technique.
Step-by-step explanation:
There are two types of sandwiches available at the deli counter. The possibility of combinations can be found by computation technique of statistic. It is assumed that order does not matter and sandwiches will be selected at random. The sandwiches can be arranged in any order and number ways can be found by 2Cn.
A crew clears brush at a rate 2/3 acre in 2 days. How long will it take the same crew to clear the entire plot of 4 acres?
Answers
Answer:
It takes the crew 12 days to clear the bush.
Step-by-step explanation:
Given clears 2/3 acres / 2 days, or 1/3 acre per day
Time to clear 4 acres
= 4 / (1/3)
= 4 * (3/1)
= 12 days
How do you make a table of value for the following equation? 3x=y
Answers
Answer:
Step-by-step explanation:
y= 3x
x y
0 0
1 3
2 6
3 9
-1 -3
-2 -6
Find the value of annuity if the periodic deposit is $400 at 4% compounded monthly for 18 years
Answers
Answer:
~820.8$
Step-by-step explanation:
The total money (M) after 18 years could be calculated by:
M = principal x (1 + rate)^time
with
principal = 400$
rate = 4% compounded monthly = 0.04/12
time = 18 years = 18 x 12 = 216 months (because of compounded monthly rate)
=> M = 400 x (1 + 0.04/12)^216 = ~820.8$
What is the base of the expression 11^12? A. 3 B. 11 C. 12 D. 21
Answers
An exponential has the base at the bottom, or the lower portion. Think of "basement" to help remember this. The exponent is the number up top, so 12 is the exponent.
Answer:
The person above me is correct ( :
Step-by-step explanation:
B
If jimmy has 15 apples and give 7 to gohn how many does jimmy have?
Answers
Answer:
Hey there!
Jimmy has 15-7, or 8 apples left.
Hope this helps :)
The winery sold 81 cases of wine this week. If twice
as many red cases were sold than white, how many
white cases were sold this week?
A. 32 cases
B. 61 cases
C. 27 cases
D. 54 cases
Answers
Answer:
Option (C)
Step-by-step explanation:
Let the red cases sold = r
and the number of white cases sold = w
Total number of cases sold by the winery = 81
r + w = 81 -------(1)
If number of red cases sold is twice of white cases sold,
r = 2w ------- (2)
By substituting the value of r from equation (2) to equation (1),
2w + w = 81
3w = 81
w = 27 cases
From equation (1),
r + 27 = 81
r = 54 cases
Therefore, number of white cases sold are 27 cases
Option (C) is he answer.
NEED HELP ASAP!!
What is the equation of the line that is parallel to the
given line and has an x-intercept of -3?
O y = x + 3
O y = ?X + 2
Oy=-3x + 3
y=-3x+2
Answers
Answer:
B
Step-by-step explanation:
The equation of the line that is parallel to the given line and has an x-intercept of -3 is y= 2/3x + 2.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have a graph.
So, slope of line in graph is
= (-1-1)/ (0.-3)
= -2/ (-3)
= 2/3
and, we know that two parallel line have same slope.
so, the slope of parallel line is 2/3 and the x intercept is -3.
So, the Equation line is y= 2/3 x + b
0 = 2/3 (-3) +b
b= 2
Thus, the required equation is y= 2/3x + 2.
Learn more about Slope here:
https://brainly.com/question/2863474
#SPJ5
15 POINTS+BRAINLIEST (Hurry now) A train goes past you in 10 seconds and goes past a 100 meter long bridge in 30 seconds. What is the length (in meters) and the speed (inm/s) of the train?
Answers
Answer:
speed=3.33m/s
Step-by-step explanation:
speed= distance÷time
3.33 m/s
length = ?
Answer:
Length : 50m
Speed : 5 m / s
im sorry if im too late :'(
Check whether these statements are wff or not:(a) (p˅q) ∧∼r
Answers
Answer:
It is a well formed formula
Step-by-step explanation:
1 - p,q,r are well formed formulas.
2 - [tex]p \ \lor \ q[/tex] is a well formed formula as well.
3 - [tex]\neg r[/tex] is a well formula as well
4 - [tex](\ p \ \lor \ q) \ \land \ \neg r[/tex] is a well formula as well.
The prices for a loaf of bread and a gallon of milk for two supermarkets are shown below. Sue needs to buy bread and milk for her church picnic. At Supermarket A, she would pay $137.24. At Supermarket B, she would pay $140.04. Which of the following system of equations represents this situation?
Answers
Answer:
B. 3.19b + 4.59m = 137.24
3.49b + 4.39m = $140.04
Step-by-step explanation:
A B
Bread $3.19 $3.49
Milk $4.59 $4.39
Sue paid $137.24 in supermarket A
Sue paid $140.04 in supermarket B
Let
Price of bread A=$3.19
Price of bread B=$3.49
Price of milk A=$4.59
Price of milk B=$4.39
Quantity of Bread=b
Quantity of Milk=m
Pb=price of bread
Pm=price of milk
Qb=Quantity of bread
Qm=Quantity of milk
For each supermarket
Supermarket A Equation
PbQb + PmQm =$137.24
3.19b+ 4.59m = 137.24
Supermarket B Equation
PbQb + PmQm=$140.04
3.49b + 4.39m = $140.04
Combining both equations
3.19b + 4.59m = 137.24
3.49b + 4.39m = $140.04
Please help, much needed. A lot of points
Answers
Answer:
A. -9
Step-by-step explanation:
If one of the variables were negative than, it would not be able to equal 2/7.
A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 13.5\text{ m}^213.5 m 2 13, point, 5, start text, space, m, end text, squared of material to build the cube. What is the volume inside the giant sugar cube?
Answers
Answer:
3.375
Step-by-step explanation:
Answer:
3.375
Step-by-step explanation:
Had it on Khan
Help!! It’s much appreciated in this time
Answers
Answer: D. y = (x - 3)² + 2
Step-by-step explanation:
Inverse is when you swap the x's and y's and solve for y.
y = [tex]\sqrt{x-2}[/tex] + 3
Swap: x = [tex]\sqrt{y-2}[/tex] + 3
Solve: x - 3 = [tex]\sqrt{y-2}[/tex]
(x - 3)² = [tex](\sqrt{y-2})^2[/tex]
(x - 3)² = y - 2
(x - 3)² + 2 = y
Solve the given systems of equations:
x-y+z=1
-3x+2y+z=1
2x-3y+4z=3
Answers
Answer:
x = 3/2
y = 2
z = 3/2
Step-by-step explanation:
There are multiple methods to solve these. Message me for the method you need to see step by step.
PLEASE HELP!!! Find the area of the shaded polygon:
Answers
Answer:
147
Step-by-step explanation:
If x = 2, y = 8, find (i) x³+y³ (ii) ∛y
Answers
Answer:
(i) 520
(ii) 2
Step-by-step explanation:
(i) x³ + y³
Plug x as 2, and y as 8.
(2)³ + (8)³
Solve for exponents.
8 + 512
Add.
= 520
(ii) ∛y
Plug y as 8.
∛(8)
Solve for cube root.
= 2
Answer:
( i ) 520
( ii ) 2
Step-by-step explanation:
We can find this solution by plugging in known values -
If x = 2, y = 8
x³+y³ = ( 2 )³ + ( 8 )³ = 8 + 512
= 520
Know let us move on to the second half -
We only need one part of this information now, y = 8. If so,
∛y = ∛8
2 x 2 x 2 = 8 - and thus 2 should be our solution for this portion.
The valve was tested on 240240 engines and the mean pressure was 7.57.5 pounds/square inch (psi). Assume the population standard deviation is 1.01.0. The engineer designed the valve such that it would produce a mean pressure of 7.67.6 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.10.1 will be used. Find the P-value of the test statistic. Round your answer to four decimal places.
Answers
Answer:
z = 1.55
Step-by-step explanation:
The answer is attached.