Answer:C. $301.48
Step-by-step explanation:
Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle.
Part A
If Mia will pay a total of $444 in interest, how much money did she initially borrow? Enter your answer in the box.
$
Part B
How much interest would Mia pay if the simple interest rate were 5%? Enter your answer in the box.
Answer:
part a: she borrowed 3,700
part b: she would pay 555 interest
Step-by-step explanation:
How many times greater is the value of 5 in 532,874 than the value of 451,073?
Answer:
10 times greater is the value of 5 in 3,590 than the value of 5 in 359.
Step-by-step explanation:
find the principle of money if intrest in 3 years with 5 percent per annum is rs 300
Answer:
HI from Nepal
Answer:
let principal be x
interest =Rs300
time=3 years
rate=5%
To find principal use formula,
Interest=P*T*R/100
Rs300=x*3*5/100
Rs300*100=15x
Rs30000=15x
Rs30000/15=x
Rs2000=x
Step-by-step explanation:
therefore principal=Rs 2000
Choose the Inequality that matches the graph below.
Answer:
The answer would be A
Step-by-step explanation:
Because the circle is an open circle, also its point towards the positive so that means A is the correct answer
[3 x 2⁵ + 13 × (-2)] +7[8-(4-9)]
which value form the set {0, 1,17, 72 make the equation n+8=9 true
Answer:
n + 8 = 9
therefore 9-8 = 1
Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know
Answer:
Grapes are less expensive
Step-by-step explanation:
First, find how much money 1 pound of each fruit is:
Bananas: $1.47 / 3 = $0.49
Grapes: $1.18 / 2 = $0.59
Compare:
0.49 < 0.59
So grapes are less expensive
A cylindrical tank has a base of diameter 12 ft and height 5 ft. The tank is full of water (of density 62.4 lb/ft3).(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.(b) Write down an integral for the fluid force on the side of the tank.(c) How would your answer to part (a) change if the tank was on its side
Answer:
a. 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy
b. 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy
c. 99840π lb/ft-s²∫₀⁶rdr
Step-by-step explanation:
.(a) Write down an integral for the work needed to pump all of the water to a point 4 feet above the tank.
The work done, W = ∫mgdy where m = mass of cylindrical tank = ρA([5 + 4] - y) where ρ = density of water = 62.4 lb/ft³, A = area of base of tank = πd²/4 where d = diameter of tank = 12 ft.( we add height of the tank + the height of point above the tank and subtract it from the vertical point above the base of the tank, y to get 5 + 4 - y) and g = acceleration due to gravity = 32 ft/s²
So,
W = ∫mgdy
W = ∫ρA([5 + 4] - y)gdy
W = ∫ρA(9 - y)gdy
W = ρgA∫(9 - y)dy
W = ρgπd²/4∫(9 - y)dy
we integrate W from y from 0 to 5 which is the height of the tank
W = ρgπd²/4∫₀⁵(9 - y)dy
substituting the values of the other variables into the equation, we have
W = 62.4 lb/ft³π(12 ft)² (32 ft/s²)/4∫₀⁵(9 - y)dy
W = 71884.8 π lb/ft-s²∫₀⁵(9 - y)dy
.(b) Write down an integral for the fluid force on the side of the tank
Since force, F = ∫PdA where P = pressure = ρgh where h = (5 - y) since we are moving from h = 0 to h = 5. So, P = ρg(5 - y)
The differential area on the side of the tank is given by
dA = 2πrdy
So. F = ∫PdA
F = ∫ρg(5 - y)2πrdy
Since we are integrating from y = 0 to y = 5, we have our integral as
F = ∫ρg2πr(5 - y)dy
F = ∫ρgπd(5 - y)dy since d = 2r
substituting the values of the other variables into the equation, we have
F = ∫₀⁵62.4 lb/ft³π(12 ft) × 32 ft/s²(5 - y)dy
F = 23961.6 π lb/ft-s²∫₀⁵(5 - y)dy
.(c) How would your answer to part (a) change if the tank was on its side
The work done, W = ∫mgdr where m = mass of cylindrical tank = ρAh where ρ = density of water = 62.4 lb/ft³, A = curved surface area of cylindrical tank = 2πrh where r = radius of tank, d = diameter of tank = 12 ft. and h = height of the tank = 5 ft and g = acceleration due to gravity = 32 ft/s²
So,
W = ∫mgdr
W = ∫ρAhgdr
W = ∫ρ(2πrh)hgdr
W = ∫2ρπrh²gdr
W = 2ρπh²g∫rdr
we integrate from r = 0 to r = d/2 where d = diameter of cylindrical tank = 12 ft/2 = 6 ft
So,
W = 2ρπh²g∫₀⁶rdr
substituting the values of the other variables into the equation, we have
W = 2 × 62.4 lb/ft³π(5 ft)² × 32 ft/s²∫₀⁶rdr
W = 99840π lb/ft-s²∫₀⁶rdr
I neeed help on thesse last two my test ends in 3 min help
Answer:
cjones8806
Virtuoso
38 answers
183 people helped
i need points sorry I cant help
Step-by-step explanation:
green box?
(srry if it isn't correct, but that's what I got!!)
rlly sorry
7th grade stuff for fun help
Answer:
soda = 10
burger = 5
fries = 2
5 + 2 x 10 = 25
Step-by-step explanation:
brainliest?
any help please .. using the last of my points for this :/
A container has a 6 litres of juice. If 3⅕ litres are poured from it, How many juice is left in the container?
Answer:
2.8 liters
Step-by-step explanation:
6 - 3.20 = 2.8
Answer:
2 4/5
Step-by-step explanation:
6-3 1/5 = 2 4/5
remy said the table shows a proportional relationship because each distanc went up by 6ftg. Collin said that it was not a proportional relationship because there was no constant of proportionality there was not a single nymber that he could multiply the time by to get the distance
Answer:
remy would be correct
Step-by-step explanation:
classify the triangle by its sides and by measuring of its angles
What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 20cm, and a length of 11cm?
Answer:
2200 cubic cm
Step-by-step explanation:
The volume of a rectangular prism is found using the formula:
V = l*w*h
V = 10 cm * 20 cm * 11 cm
V = 2200 cubic cm
Answer: 2200
Step-by-step explanation:
Please help me! No links
How many math problems were answered correctly by Suzy and Joe?
Please HELP ASAP IN NEED IT I WILL GIVE YOU POINTS
Answer: c six less than twice is the same as two times a number minus six
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
"Twice a number" means a variable/mystery number times 2; aka 2x.
"Six less than" means minus/subtract six.
So, therefore it's 2x - 6.
56,252 rounded to the nearst ten thousandths
Answer:
60,000
Step-by-step explanation:
Answer:
60,000
Step-by-step explanation:
Robert must read a few books from his home library. He read any 4 out of 6 books from the top shelf, and then any 2 out of 3 books from the middle shelf and then any 3 out of 6 books from the bottom shelf. In how many ways can Robert read the books, if different orders in which the books will be read count as different ways
Answer:
Robert can read the books in 129,600 different ways.
Step-by-step explanation:
The order in which the book are read is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Top shelf:
4 books from a set of 6. So
[tex]P_{(6,4)} = \frac{6!}{2!} = 360[/tex]
Middle shelf:
2 books from a set of 3. So
[tex]P_{(3,2)} = \frac{3!}{2!} = 3[/tex]
Bottom shelf:
3 books from a set of 6. So
[tex]P_{(6,3)} = \frac{6!}{3!} = 120[/tex]
Total:
360*3*120 = 129,600
Robert can read the books in 129,600 different ways.
can someone answer this i am in forth grade 7/8 x 3 =
5. PA license plates have 3 letters followed by 4 numbers.
a. If the same letter or number can be repeated, how many can be made?
b. If the same letter CANNOT be repeated, how many can be made?
Answer:
A. 175,760,000
B. 156,000,000
Step-by-step explanation:
For part A:
There are 26 letters in the alphabet. Therefore, if there are 3 spots to use 26 letters, that is represented as [tex]26^3[/tex]. As for numbers, there are 10 digits from 0-9. So if there are 4 spots for numbers, the total possible number of sequences is [tex]10^4[/tex]. So you simply multiply [tex]26^3[/tex] and [tex]10^4[/tex] to get 175,760,000 possible combinations.
For part B:
If the same letter can't be repeated, instead of using an exponent, we have to use a factorial, but only for the 3 digits required in the license plate. These are called permutations and can be expressed as [tex]_2_6P_3[/tex], which is the same as saying 26 x 25 x 24. Since there is no change to number of numbers, that remains the same.
[tex]_2_6P_3 * 10^4 =26*25*24*10^4=156,000,000[/tex]
Question 3 of 10
Which best describes how empirical probability is which which best describes how empirical probability is determined?
A. By considering all possible outcomes
B. By deciding which events are unpredictable
C. By deciding which events are random
D. By personal experimentation and testing
SUBMIT
Answer:
B. By personal experimentation and testing
Step-by-step explanation:
C u m s t e r g o i n t r e b a r e de pe b r a i n l y?
Answer:rf JAMES CHARLE's?!?
Step-by-step explanation:
A flagpole casts a 40 foot shadow. The angle of elevation grom the tip of the shadow to the tip of the flagpole is 36". How tall is the flagpole
Answer:
45/22
Step-by-step explanation:
Alexis surveys a random sample of 80 students at his school and finds that 22 of them
usually walk to school. There are 1,760 students at the school. Predict the number of
students who usually walk to school.
Answer:
484 students
Step-by-step explanation:
This is simple probability. Assuming 22/80 students walk to school within a small population, and there are 1760 students at the school, there should be (22/80)*1760 students that walk to school in total. (This is just theoretical). This is 484 students.
The number of students who usually walk to school will be 484 students.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Alexis surveys a random sample of 80 students at his school and finds that 22 of them usually walk to school.
Then the number of students who usually walk to school will be
⇒ 22 / 80
⇒ 11 / 40
We know that the ratio will remain the same.
There are 1,760 students at the school.
Let x be the number of students who usually walk to school.
Then the number of students who usually walk to school will be
x / 1760 = 11 / 40
x = 484 students
Thus, the number of students who usually walk to school will be 484 students.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
HELP QUICK PLZ! NO SPAM.
XYZ has vertices X(15,−8), Y(13, 21), and Z(−17, 17). Which of the following represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis?
Answer:
X (15, −8) → X ′(9, −3) → X ″(9, 3);
Y (13, 21) → Y ′(7, 26) → Y ″(7, −26);
Z (−17, 17) → Z ′(−23, 22) → Z ″(−23, −22)
Step-by-step explanation:
Use the translation vector <−6, 5> to determine the rule for translation of the coordinates: (x, y)→ (x+(−6),y + 5).
Apply the rule to translate vertices X(15 ,−8), Y(13, 21) , and Z(−17, 17) .
X (15,−8) → (15 + (−6),−8 + 5) → X'(9, −3).
Y (13, 21) → (13+ (−6), 21 + 5) → Y' (7, 26).
Z (−17, 17) → (−17 + (−6), 17 + 5) → Z' (−23, 22).
To apply the reflection across x-axis use the rule for reflection: (x, y) → (x, −y).
Apply the reflection rule to the vertices of △X'Y'Z'.
X' (9, −3) → X'' (9, 3).
Y' (7, 26)→Y''(7, −26).
Z' (−23, 22) → Z'' (−23, −22).
Therefore,
X (15 ,−8) → X' (9, −3) → X'' (9, 3)
Y (13, 21) → Y' (7, 26) → Y'' (7, −26)
Z (−17, 17) → Z' (−23, 22) → Z'' (−23, −22)
represents the translation of △XYZ along vector <−6, 5> and its reflection across the x-axis.
!!!!Plz Help!!!! How does the slop of AB compare with the slope of the parallel line as you move points A, B, and C? What conclusion can you draw about the relationship between the slopes of parallel lines?
Answer:
As points, A and B move, the slope of the two lines change but remain equal to each other. As point C moves, the slope does not change but remains equal to each other since the line through C is drawn parallel to AB.
I can canclude that slope of any two parallel lines are equal
Step-by-step explanation:
PLEASE HELPPPPP!!!!!!!!! (show work if you can)
Answer:
[tex]180x^4y^3z^2[/tex]
Step-by-step explanation:
Start by finding the LCM of the coefficients of each polynomial:
[tex]LCM(12,18,30)=180[/tex]
Next, to find the least common multiple of each of the following terms, we need to take the absolute minimum we can of each term ([tex]x[/tex], [tex]y[/tex], and [tex]z[/tex]). The largest term of [tex]x[/tex] is [tex]x^4[/tex] in the first polynomial, so we'll take exactly that for our [tex]x[/tex] term in the LCM, absolutely nothing more. Similarly, the largest term of [tex]y[/tex] in any of the three polynomials is [tex]y^3[/tex] (also in the first polynomial) and the largest [tex]z[/tex] term in any of the three polynomials is [tex]z^2[/tex] in the second polynomial. Thus, the LCM of all our polynomials is:
[tex]180\cdot x^4\cdot y^3\cdot z^2=\boxed{180x^4y^3z^2}[/tex]
Answer:
[tex]\mathrm{Factor\:}18x^4y^3z= 2\cdot \:3^2\cdot \:x^4\cdot \:y^3\cdot \:z\\\\\mathrm{Factor\:}30xy^2z^2= 2\cdot \:3\cdot \:5\cdot \:x\cdot \:y^2\cdot \:z^2\\\\\mathrm{Factor\:}12x^3y^2= 2^2\cdot \:3\cdot \:x^3\cdot \:y\\\\\mathrm{Multiply\:each\:factor\:with\:the\:highest\:power}= 2^2\cdot \:3^2\cdot \:5\cdot \:x^4\cdot \:y^3\cdot \:z^2\\\\180x^4y^3z^2[/tex]
Which shows the best path to convert 100 liters to pints?
A liters -> cups -> pints
B liters -> kiloliters -> pints
C pints -> gallons -> liters
D pint -> quarts -> liters
Answer:
A
Step-by-step explanation:
100 liters is 416.7 cups and 416.7 cups is 211.3 pints.
i will give Brainiest if you are right
Answer:
D.
Step-by-step explanation:
The answer is 117
Answer: The answer is not listed
Step-by-step explanation: