Answer:
288*pi
Step-by-step explanation:
Area=2*pi*(24)^2*(90/360)=288*pi
While Mary Corens was a student at the University of Tennessee, she borrowed $14,000 in student loans at an annual interest rate of 7%. If Mary repays $1,800 per year, then how long (to the nearest year) will it take her to repay the loan? Do not round intermediate calculations. Round your answer to the nearest whole number.
Answer:
The number of years needed to repay the loan is 11.47 years or 11 years.
Step-by-step explanation:
The loan amount, Present value = $14000
Annual repayment amount (annuity) = $1800
Interest rate = 7% per annum.
Now we have to find the number of years consumed to repay the loan amount. Below is the calculation.
Present value = (Annuity[1-(1+r)^-n] )/ r
14000 = (1800 × [1- (1+ 0.07 )^-n] )/ 0.07
14000 × 0.07 = 1800 × [1- (1+ 0.07 )^-n]
980 = 1800 × [1- (1+ 0.07 )^-n]
0.54 = [1- (1+ 0.07 )^-n]
n = 11.47 or 11 years.
Work out the circumference of a circle with diameter 1.8 cm.
Take a to be 3.142 and give your answer to 1 decimal place.
Answer:
The answer is
5.6 cmStep-by-step explanation:
Circumference of a circle( C) = πd
where d is the diameter
π = 3.142
From the question
d = 1.8cm
Substitute d = 1.8 into the above formula
Circumference of the circle is
3.142 × 1.8
= 5.6556
We have the final answer as
C = 5.6 cm to one decimal placeHope this helps you
Which of the following functions is neither even nor odd? A. f(x)=x6−3x4−4x2 B. f(x)=2x3−3x2−4x+4 C. f(x)=x5−2x3−3x D. f(x)=6x5−x3
even function : [tex] f(x)=f(-x)[/tex] , odd function: $f(x)=-f(-x)$
it is neither odd nor event when both condition don't hold.
See option B.
$f(x)=2x^3-3x^2-4x+4$
$f(-x)=-2x^3-3x^2+4x+4=-(2x^3+3x^2-4x-4)$
clearly, it is neither odd nor even.
____________ show the frequency of data.
A. dot plots
B. bar graphs
C. all of these
D. line plots
Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3
Answer:
The correct option is;
3 + (-9) = -6, because -6 is 9 units to the left of 3
Step-by-step explanation:
The given information are;
Kelvin's score after the first round is shown at point K on the number line
The range of numbers on the number line = -10 to +10
The position of point K after the first round = +3
The number of points Kevin lost in the second round = 9 points
Therefore, Kevin's cumulative score = +3 - 9 = -6
Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.
Farmer Green sent his two children out to count the hens and sheep. His daughter counted 40 hens, and his son counted 100 legs. How many of each animal is on the farm?
Answer:
40 hens, 5 sheep
Step-by-step explanation:
40 x 2 = 80 (hens have 2 legs)
100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs
20/4 = 5 so there are 5 sheep
Answer:
40 hens, 5 sheep
Step-by-step explanation:
40 x 2 = 80 (hens have 2 legs)
100 - 80 = 20 ----> 20 legs left for sheep,, sheep have 4 legs
20/4 = 5 so there are 5 sheep
help me asap you guys i need help
Hi there! :)
Answer:
[tex]\huge\boxed{C}[/tex]
To simplify the process, convert each given weight into standard notation:
Lion:
[tex]1 * 10^{5} = 1 * 100000 = 100,000 g[/tex]
Ant:
[tex]2 * 10^{-3} = 2* 0.001 = 0.002[/tex]
Divide the ant's weight from the lion's weight:
[tex]100000 / 0.002 = 50,000,000[/tex]
Convert to scientific notation: (use # of zeros to determine exponent)
[tex]50,000,000 = 5 * 10^{7}[/tex]
Therefore, the correct answer is C.
96 is 30% of what number?
Step-by-step explanation:
If we substitue "what number" in the question "96 is 30 percent of what number?" with 320, we get this sentence: 96 is 30 percent of 320. Since this statement is true, we know that our answer is correct.
Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a (4 points)
Answer:
Quadrilateral ABCD is a SQUARE
Step-by-step explanation:
When we are given coordinates (x1, x2) and (y1 , y2) for a Quadrilateral, we solve for the sides using this formula.
√(x2 - x1)² + (y2 - y1)²
A (3, 1), B (4, 4), C (7, 5), D (6, 2)
Side AB = A (3, 1), B (4, 4)
√(x2 - x1)² + (y2 - y1)²
= √(4 - 3)² + (4 - 1)²
= √1² + 3²
= √1 + 9
= √10
Side BC = B (4, 4), C (7, 5)
√(x2 - x1)² + (y2 - y1)²
= √(7 - 4)² + (5 - 4)²
= √3² + 1²
= √9 + 1
= √10
Side CD = C (7, 5), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 7)² + (2 - 5)²
= √(-1) ² + (-3)²
= √1 + 9
= √10
Side AD = A (3, 1), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 3)² + (2 - 1)²
= √3² + 1²
= √9 + 1
= √10
From the above calculation,
Side AB = √10
Side BC = √10
Side CD = √10
Side AD = √10
Hence, AB = BC = CD = AD
When all the side of a Quadrilateral are the same or equal to each other, it means the Quadrilateral is a square.
Therefore, Quadrilateral ABCD is a SQUARE
When a shape is dilated, the _________ of the lengths in the image to the corresponding lengths in the pre-image are equal to the scale factor.
A. ratios
B. lengths
C. scale factors
D. proportions
Which of the following equations has only one solution?
x2 + 4x + 4 = 0
x2 + x = 0
ox²-1=0
Answer:
x² + 4x + 4 = 0
Step-by-step explanation:
x² + 4x + 4 = 0
( x + 2 )² = 0
x + 2 = 0
x = -2
x² + x = 0
x ( x + 1 ) = 0
x = 0 or x = -1
x² - 1 = 0
x² = 1
x = 1 or x = -1
Which correlation best describes the data below.
Answer:
weak positive
Step-by-step explanation:
weak because the line of best fit (the line passes through all points and used to express the relationship between them) doesn't pass through all ponts here.
positive because the values of data points are rising throughout the graph.
Finding which number supports the idea that the rational numbers are dense in the real numbers.
Answer:A terminating decimal between -3.14 and -3.15.
Step-by-step explanation:
A natural number includes non-negative numbers like 5, 203, and 18476.
It is encapsulated by integers, which include negative numbers like -29, -4, and -198.
Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.
By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers.
can i help please??? :) Is 3.22×10 to the 4 power equal to 32,200?
Answer:
Yes
Step-by-step explanation:
we move the decimal point 4 times to the right
1st time
32.2
2nd time
322
3rd time
3220
4th time
32,200
Answer:
No
Step-by-step explanation:
3.22 x 10 = 32.2
32.3 to the fourth power = 107.50
107.50 < 32,200
Therefore it is not equal to 32,200
What does this mean? 20 points + brainleist! What other angle measures or side lengths can you determine using these added figures? List all the concepts and facts you use.
Step-by-step explanation:
The question has asked you to have another concepts or facts that can be used to find the other angles and measure of side length.
by looking the fig we can determine various sides and angles as all are joined together.
3.
Find the inverse of A if it has one, or state that the inverse does not exist.
I can only give you the answer
Answer:
Hello,
Answer A
Step-by-step explanation:
See jointed file: Methode du compagnon
What is the correct answer to this multiple choice question? Please help!!!
Answer:
By translating the function cos(x) 90 degrees to the right.
Step-by-step explanation:
The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.
If you're wondering why the diagram shows a shift in
[tex]\pi / 2[/tex]
That's just the equivalent to 90 degrees in radians.
f(x)=8−4x−x3 g(x)=x2+7x−9 Find f(x)+g(x). Select one: a. x3+x2+3x−1 b. −x3+x+3x−1 c. −x3+x2+11x−9 d. 8x2+3x−9x3
Answer:
B
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = 8 - 4x - x^3\text{ and } g(x) = x^2 + 7x - 9[/tex]
And we want to find:
[tex]f(x) + g(x)[/tex]
Substitute:
[tex]= (8 - 4x - x^3) + (x^2 + 7x - 9)[/tex]
Rewrite:
[tex]= (-x^3) + (x^2) + (7x - 4x) + (8 - 9)[/tex]
Combine like terms:
[tex]= -x^3 + x^2 +3x -1[/tex]
In conclusion:
[tex]f(x) + g(x) = -x^3 + x^2 +3x -1[/tex]
Hence, our answer is B.
Azila is a salesgirl for a cosmetic product. Her salary is RM375 per week with 5% commission of her weekly sales. What is the least value of a product that Aliza must sell if she targets a minimum salary of RM550 for a particular week?
Answer:
RM3,500
Step-by-step explanation:
Salary=RM375 per week
5% commission per week
If she target a minimum of RM 550.
Let x=minimum Sales
RM550=RM375 + 5% of x
RM550=RM375 + 0.05x
RM550 - RM375=0.05x
RM175=0.05x
Divide both sides by 0.05
RM175/0.05=0.05x/0.05
RM3,500=x
For Azila to earn a minimum of RM550 in a week, her salary will be RM375 plus 5% commission on the sales of RM3,500 value of product.
Check:
5% of RM3,500
=0.05*3,500
=RM175
Plus
Salary of RM375
RM175 + RM375=RM550
Ivana wants to give books from her store to the local library. She needs to place 8 books in each box. If she has 1,125 books to give away, how many boxes will she need
Answer:
140.625
Step-by-step explanation:
1125 books, placed into 8 per boxes, 1125/8=140.625
Based on the data, which of the following statements must be true?
Answer:
hope this help
Step-by-step explanation:
here is the answer
If you randomly choose a number from 1 to 10 and multiply them together, what is the probability that the number ends in a 0?
Find the marked angle P
Answer:
the answer is (d) 57°
Step-by-step explanation:
since it's a straight angle it equals to 180°
you divide 180° from 123°
The shape of the sign outside Bob's Burger Barn is a regular octagon. How many degrees are in the measure of an interior angle of this sign?
Answer:
An octagon has eight interior angles.
Interior angle total sum = (n-2) x 180, where n = number of sides.
Since an octagon has 8 sides, we have:
6 x 180 / 8, which is 135.
The answer is 135.
Let me know if this helps!
For 4 hours Sam traveled at 40 miles per hour. Then he increased his speed to 60 miles per
hour and drove for another 3 hours. How far did he go in the 7 hours he traveled?
Please help explanation if possible
Answer:
Step-by-step explanation:
X = 4 , Y = 8
this is because
(5 x 4) - ( 3 x 8) = -4
20 - 24 = -4
___________________________________________________________
so the answer is 4,8
Answer:
( − 2 , 2 )
Step-by-step explanation:
Add 2 x to both sides of the equation.
y = 6 + 2 x 5 x + 3 y = − 4
Replace all occurrences of y with 6 + 2 x in each equation.
Replace all occurrences of y in 5 x + 3 y = − 4 with 6 + 2 x . 5 x + 3 ( 6 + 2 x ) = − 4 y = 6 + 2 x
Simplify the left side.
11 x + 18 = − 4 y = 6 + 2 x
Solve for x in the first equation.
x = − 2 y = 6 + 2 x
Replace all occurrences of x with − 2 in each equation.
y = 2 x = − 2
The solution to the system is the complete set of ordered pairs that are valid solutions. ( − 2 , 2 ) The result can be shown in multiple forms.
Point Form: ( − 2 , 2 )
Equation Form: x = − 2 , y = 2
Positive numbers are not closed under subtraction. Give an example of this 1
below.
Answer:
5 -3 = 2
3-5 = -2
Step-by-step explanation:
In this question, we want to examine the validity of the statement by the use of an example.
Firstly, we need to understand the meaning of the fact that they are ‘closed’
By saying these numbers are closed under this arithmetic operation i.e subtraction, we directly mean that they obey the closure property.
Now, to obey the closure property means that if we move either way i.e by switching the numbers and performing the same arithmetic operation of subtraction, we are supposed to get same answer.
What this means in terms of examples is as follows;
Consider two positive numbers, 5 and 3
Now we know that 5-3 = 2
To check if the closure property is obeyed, switch the place of the numbers.
This means we would have;
3-5 = -2
We can see that both results are not the same. We can then conclude that the arithmetic operation of subtraction is not closed or does not obey the closure property for positive numbers.
Joshua remembered he had a coupon in his pocket that would take and additional 30%off the price of the shirts. Calculate the new total cost of the shirts including a sales tax of 6.5%
Answer:
New cost of the shirt=$39.028416
Step-by-step explanation:
Target is having a Back to School sale where all polo shirts are discounted by 20%. Joshua wants to buy five shirts: two cost $10.98 each, one costs $11.50, and two others cost $15.99 each. Joshua remembered he had a coupon in his pocket that would take an additional 30% of the shirts. Which choice represents the new total cost of the shirts including the sales tax of 6.5%
Solution
Two shirts cost=$10.98 each
One shirt cost=$11.50
Two shirts cost=$15.99 each
Total cost of shirts=(2*$10.98 + $11.50 + 2*$15.99)
=$21.96 + $11.50 + $31.98
=$65.44
All polo shirts are discounted by 20%
It means he would pay 100%-20% of the total cost
100%-20%=80%
Discounted price=$65.44 * 80%
=$65.44 * 0.8
=$52.352
He has a coupon of 30% off the shirt
100% -30%=70%
=$52.352*70%
=$52.352 * 0.7
=$36.6464
Plus Sales tax of 6.5%
6.5% of $36.6464
=0.065* $36.6464
=$2.382016
New cost of the shirt=$36.6464 + $2.382016
=$39.028416
Could you guys please help with this question :) At a teacher's college, 70% of students are female. On average 75% of females and 85% of males students graduate. A student who graduates is selected at random, find the probability that the student is male.
Answer:
Step-by-step explanation:
70% of students are female
70/100* 75%= you get your answer
then subtract the percentage of the males and the females and then you get your answer
I’m sure this is easy but I hateeee geometry. help ASAP plsssss
Given points
(-4,3)(2,5)Distance:-
[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(2+4)^2+(5-3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(6)^2+(2)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+4}[/tex]
[tex]\\ \sf\longmapsto \sqrt{40}[/tex]
[tex]\\ \sf\longmapsto 6.2[/tex]