With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.
As per the given,
Principle amount P = $500
Rate of interest r = 6% annually
Total investment = P(1 + r)^T
1500 = 500(1 + 0.06)^T
300 = 1.06^T
Take natural logs on both sides
ln300 = T ln1.06
T = 18.3 years
Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".
For more information about compound interest,
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Complete all the problems.
1.
X - 6 = -24
Solve for x.
Answer:
x= -18
Step-by-step explanation:
x= -24 + 6
Add -24 and 6.
x= -18
Answer:
X = -18
Step-by-step explanation:
You want to isolate X by itself. To isolate X on one side of the = sign, use the addition property of equality (to undo the subtraction of 6 from x) by adding 6 to both sides of the equation. We use the addition property of equality because this is the inverse operation. It is important to add 6 to both sides of to maintain an equivalent equation.
1. Set up your equation
X - 6 = -24
+6 +6
2. Solve out
X - 6 = -24
+6 +6
X = -18
Answer: -18
Solve each problem. NO LINKS!!! PART 2.
9514 1404 393
Answer:
28. 480
29. 40,320
Step-by-step explanation:
28. The number of possible choices is the product of the numbers of choices for each component:
5×8×12 = 480 . . . . possible different systems
__
29. Regardless of where person A sits, the remaining B through I people can be seated in 8! = 40,320 different orders.
There are 40,320 possible seating arrangements.
Answer nyo po to...Ang hirap(;-;)....pls. Lang po
The answer goes here,
a) We have to tell the time and day which simone has to tell her sister, for picking her up from airport.
b) We have given the day (monday), time(7:00 pm) and total time to reach the destination(18 hours).
c) No such formula will be used here, we will just use our mental ability to solve this question.
d) She will leave at 7:00 pm, day has 24 hours. So, she will be in the flight on monday:
= 24 - (12 + 7) ----------- [12 here means the time of rest of the day,(morning to noon)]
= 24 - 19
= 5 hours
So, she will complete 5 hours of her destination on monday,now the time left is:
= 18 - 5
= 13
= (12 + 1 )hours
So, on tuesday, she will be in the flight for 12 hours (noon) and then on 1:00 pm she will reach the airport, as she needs and extra hour to plane so, the final time is 1:30 pm. And finally, the time she should tell her sister is 1.30 pm.
PLS HELP 30 POINTS
If the dimensions of the following cylinder are tripled, what factor will the volume change by?
81
27
3
9
Answer: 27
Step-by-step explanation:
PLZ HELP Which of the following is a true statement?
A. Total Liabilities − Total Assets = Net Worth
B. Total Assets − Total Liabilities = Net Worth
C. Total Assets + Total Liabilities = Net Worth
D. None of these are true.
Answer:
B
Step-by-step explanation: Net worth is the total assets minus total liabilities of an individual or entity.
7
What is the distance from 33, 5) to (3 7.-1
Answer:
7.211
Step-by-step explanation:
I'm going to assume that's supposed to say (33, 5) to (37, -1)
Use the pythagorean theorem: a^2 + b^2 = c^2
"a" is going to be your difference in x values (37 - 33) = 4
"b" is going to be your difference in y values (5 - (-1)) = 6
4^2 + 6^2 = c^2
16 + 36 = c^2
52 = c^2
sqrt(52) = c
7.211 = c
Please help!!!! I need this to pass my classs
Answer:
a. Maximum
b. (-1, 4)
c. -3, 1
d. x = -1
Step-by-step explanation:
a. There is a maximum value of the function (highest point) because the parabola opens downward.
b. The vertex is the turning point--the point where the maximum is.
c. The roots (or "zeros") are the values of x where the curve intersects the x-axis
d. The axis of symmetry is a vertical line which passes through the vertex.
10 points! If correct you get brainliest.
Which one's apply?
Answer:
The answer is C and E
Step-by-step explanation:
PLS ANSWER RN
What is the area of AJKL?
Answer:
8.5
Step-by-step explanation:
slope of the line that contains KL
(y2 - y1)/(x2-x1)
(0-1)/(7-3)
m = -1/4
slope of the line that contains JK
(5-1)/(4-3)
m = 4
the linea are perpendicular so triangle is right
area = (leg1 x leg2)/2
KL = [tex]\sqrt{(7-3)^2 + (0-1)^2} = \sqrt{16 + 1} = \sqrt{17}[/tex]
KJ = [tex]\sqrt{(4-3)^2 + (5-1)^2}= \sqrt{1 + 16} = \sqrt{17}[/tex]
area = (√17)^2/2 = 17/2 = 8.5
Help i dont know how to do this type of questions
Answer:
x = 28°
y = 23°
Step-by-step explanation:
5y - 4 + 3y = 180
solve for y
8y = 184
y = 23
3y and 2x + 13 are equal
solve for x now that we know y is 23.
3(23) = 2x + 13
69 = 2x + 13
56 = 2x
28 = x
Answer:
y=23 x=28
Step-by-step explanation:
5y-4 + 3y =180⁰
8y-4=180
8y=184
y=23
3y=2x+13
69=2x+13
-13 -13
56=2x
28=x
Hope this is helpful. good luck
What do the value of
(5 1/3)^3
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....An owner wants to discount his pizza from $15 to $14.25, how much percent does he need to discount?
Answer:
5%
Step-by-step explanation:
Amount of money that is discounted
= $15 - $14.25
$0.75
Percentage that needed to be discount
=(0.75/15) * 100%
= 5%
Thus, owner needs to discount 5% to discount his pizza from $15 to $14.25.
I NEEED HELPPPPPPPPP!!!!!
WILL GIVE BRAINLIST
MATH
CONVERT EACH MEASUREMENT
25FT TO YARDS
SHOW STEPS ALL HOW YOU GOT THE ANSWER
Answer:
8.333... Yards.
Step-by-step explanation:
To convert feet to yards, divide the feet by 3.
[tex]\frac{25}{3} = \frac{25}{3}/8.333...[/tex]
To check work
Multiply 8.333... by 3.
8.333 · 3 = 24.999...
It Is Not Exactly 25 Because The 3 Is Infinite But It Is Enough To Prove Your Answer.
Write the Equation of a line given slope and y-intercept or points
1) b = 17/5 and m=3
Answer:
I'm sorry hindi ko po alam
A math recap workshop is provided to the first year students entering a city college. To evaluate the workshop effectiveness, a study is conducted as following: 20 students with similar math backgrounds are randomly selected for the study. Of the 20 students, 10 of them are selected to attend the workshop and the other 10 do not attend the workshop. After the workshop has taken place a test is given to all 20 students. What is the appropriate inference test to use in this situation
Answer:
Independent sample t test
Step-by-step explanation:
The Independent sample t test could be explained as a statistical test carried out in other to establish or examine if significant difference exists between two independent samples. That is the outcome of the samples do not depend on one another. Using the scenario described above, the difference between the same variable is measured for two different groups which is the ideal set up for an independent sample t test. The difference between test score for two independent samples (those who attended the workshop and those who did not) is being compared.
p/o/i/t/s/f/r/e/e/;)
denada
A classic data set for investigating categorical variables deals with the RMS Titanic. The Titanic sank in the North Atlantic Ocean on April 15, 1912. There were more than 2,000 passengers and crew on board and more than 1,500 did not survive. The data set titanic.jmp located with this homework contains data on 887 passengers. For each passenger, the variables Class (class of the passenger) and Survived (whether or not the passenger lived) were recorded. A main question of interest is whether there is an association between class and survival.
(a) Use JMP to obtain the distribution of the variable Survived. See the Categorical Data JMP guide for any additional help. This is the marginal distribution of Survived. Write down the marginal distribution below (give the categories of Survived and the proportions in each category).
(b) One variable that could be associated with the survival of a passenger is their Class. In studying this relationship, which variable is the explanatory variable? Circle the appropriate answer.
Class Survived
(c) Use JMP to obtain a contingency table and mosaic plot of the relationship between the Class of a passenger and whether or not they Survived. Change the contingency table so that it includes only the Count and Row % values. Print out the output and turn it in with this assignment. See the Categorical Data JMP guide for any additional help.
(d) Give the conditional distribution of Survived given that the passenger was in First class.
(e) Compare this conditional distribution to the overall marginal distribution of Survived from part (a). Are the two distributions similar to each other, or are they different? Explain.
(f) Based on the contingency table and mosaic plot, does it appear there is an association between Class and Survival?
Researchers from a large community college in California are interested in understanding the demographics of students enrolled in their online classes. The researchers collected the following data for the 2014/2015 school year.
Male Female Total
Online Only 2,000 7,000 9,000
Online and in the class only 8,000 1,000 9,000
Total 10,000 8,000 18,000
What does the data suggest about the relationship between sex and enrollment?
a. Females are more likely to enroll in Online Only courses than males.
b. Females are more likely to enroll in Online and In Class courses than males
c. There are more females enrolled at the community college than males.
d. Females are equally likely as males to enroll in an Online Only course.
Answer:
a. Females are more likely to enroll in Online Only courses than males.
Step-by-step explanation:
From the data, we have that:
There are 9,000 students that are online only, of which 2,000 are male and 7,000 are female.
There are 9,000 students that are Online and in the class only, of which 8,000 are male and 1,000 are female.
In total, there are 18,000 students, of which 10,000 are male and 8,000 are female.
a. Females are more likely to enroll in Online Only courses than males.
True, 7,000 females compared to 2,000 males in online only courses. This option is the answer to this question.
b. Females are more likely to enroll in Online and In Class courses than males
False, in online and in the class courses, there are 8,000 males and 1,000 females, so females are less likely.
c. There are more females enrolled at the community college than males.
False, there are 10,000 males and 8,000 females.
d. Females are equally likely as males to enroll in an Online Only course.
False, there are 7,000 females compared to 2,000 males in online only courses, so they are more likely, and not equally likely.
Compare using >, <, or =.
11 yards
51 feet
Answer:
11 yards is 33 feet
11 yards < 51 feet
The measure of an angle is 32.3°. What is the measure of its complementary angle?
Answer:
57.8 degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees so you take 32.3 and figure what plus 32.3 equals 90
Quadrilateral ABCD is inscribed. The measure of ∠A=67°. What is the measure of ∠C?
Answer:
angle C =113 degree
Step-by-step explanation:
angle A + angle C =180 degree
angle C = 180 degree - angle A
angle C = 180 degree - 67 degree
=113 degree
1800=3×N
help asap plzzz
The dimensions of a rectanglar sheet of metal are 9.96m by 5.08m
Find
The perimeter of the metal, correct to 1 significant figure
• Length of the metal sheet = 9.96 m
• Breadth of the metal sheet = 5.08 m
As we know that,
★ Perimeter of rectangle = 2(length + breadth)
→ Perimeter of sheet = 2(9.96 + 5.08) m
→ Perimeter of sheet = 2(15.04) m
→ Perimeter of sheet = 30.08 m
Therefore, perimeter of the rectangular sheet is 30.08 m.
An ice-cream shop uses 1/6 box of waffle cones each day they are open. The shop is open 5 days a week. Which equation shows the amount of a box of waffle cones the ice-cream shop uses in a week?
Answer:
5/6
Step-by-step explanation:
1/6 x 5=5/6
320% of 69 is what number?
Answer:
220.8
Step-by-step explanation:
I believe 220.8
sorry if I am wrong.
Answer:
320×69÷100
answer * number is 220
Gor is running a bakery. He has made a street sign to direct people to his
bakery. He painted one side of the post and sign. What is the painted area?
15 in
15 in
8 in
50 in
6 in
A. 390 square inches
B. 585 square inches
Answer:
B.
Step-by-step explanation:
The street sign is composed of two rectangles and 1 triangle.
Painted area = area of triangle + area of rectangle 1 + area of square
✔️Area of triangle = ½bh
b = 15 in.
h = 8 in.
Area of triangle = ½*15*8 = 60 in.²
✔️Area of rectangle 1 = L*W
L = 50 in.
W = 6 in.
Area = 50*6 = 300 in.²
✔️Area of Square = s²
s = 15 in.
Area = 15² = 255 in.²
✅Painted area = 60 + 300 + 225 = 585 in.²
Answer:
B. 585 square inches :)
Step-by-step explanation:
Five classmates want to know how many of the 2688 students in their school prefer pop music. They each randomly survey 64 students. The table shows the results.
Use the results from each classmate to make an inference about the number of students in the school who prefer pop music.
Based on Shannon's results, the number is __
students.
Based on Trey's results, the number is __
students.
Based on Robert's results, the number is __
students.
Based on Callie's results, the number is __
students.
Based on Lani's results, the number is __
students.
Question 2
Describe the variation of the five inferences. Which one would you use to describe the number of students at the school who prefer pop music? Explain.
The greatest is __
students. The least is __
students. The median of the data is __
. The mode of the data is __
. So, use the inference of __
students to describe the number of students at the school who prefer pop music.
Answer:
Question 1
Shannon: 882/2688
Trey: 1008/2688
Robert: 798/2688
Callie: 882/2688
Lani: 840/2688
Question 2
The greatest is 1008/2688 students.
The least is 798/2688 students.
The median of the data is 882/2688 students.
The mode of the data is 882/2688 students.
So, use the inference of 882/2688 students to describe the number of students at the school who prefer pop music.
Step-by-step explanation
Question 1
Shannon: Because 21/64 in Shannon's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.
Trey: Because 24/64 in Trey's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 24 gets us 1008/2688 who might prefer pop music in the entire school without surveying all of the students.
Robert: Because 19/64 in Robert's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 19 gets us 798/2688 who might prefer pop music in the entire school without surveying all of the students.
Callie: Because 21/64 in Callie's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.
Lani: Because 20/64 in Lani's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 20 gets us 840/2688 who might prefer pop music in the entire school without surveying all of the students.
Question 2
Using Shannon's or Callie's survey would best describe the number of students in the entire school because their individual results (21/64) is the average of all of the individual results of the 5 students. If you decide to use any of the other individual survey results, you will not get the closest answer to the actual amount of students who prefer pop music in the entire school.
Using the individual survey results to estimate the number of students who prefer pop music in the entire school:
The greatest was Trey's results, which estimated about 1008 out of 2688 students in the entire school who would prefer pop music.
The least was Robert's results, which estimated about 798 out of 2688 students in the entire school who would prefer pop music.
The median of the data was 882 out of 2688 students in the entire school who would prefer pop music, as shown in Shannon's and Callie's individual survey results.
To find the median, list the results least to greatest, then look at the number that is in the exact middle. If there is no middle, but instead two middle numbers, find the average of the two.
The mode of the data was Shannon's or Callie's results, which estimated about 882 out of 2688 students in the entire school who would prefer pop music.
To find the mode, look for the number or result that it repeated the most (Ex: the result of 21/64 students who preferred pop music was found twice compared to the other individual survey results which did not repeat more than once).
So, in the end using Shannon's or Callie's individual survey results to estimate the amount of students in the entire school who prefer pop music is the best way to do so.
Please comment if you think I made a mistake, misunderstood, or missed something.
A right circular conical tank of height 1 foot and radius 1 foot at the top is full of water. Taking the density of the water to be 60 pounds per cubic foot, how much work in foot-pounds is required to pump all the water up and over the top of the tank
Answer:
Step-by-step explanation:
Height= 1 foot
Radius= 1 foot
Density= 60 pounds per cubic foot
Density = mass/ volume
Vol of cone= 1/3× 22/7 ×(radius^2)
=1/3×22/7×1×1
=22/21
Mass=volume × density
= 22/21 × 60
=440/7
Energy = mgh
= 440/7 ×10 × 1
= 628.57 foot pounds
this is adding and subtracting of like and unlike terms
ab+bc=
Answer:
b(a+c) this is answer okay
Answer:
Step-by-step explanation:
ab+bc
b(a+b)
u can add two term only if they have same base.