Answer:
Step-by-step explanation:
\(Amount=P(1+r)^t\\=4800(1+0.1)^{\frac{3}{2}}\\=4800(1.1)^{\frac{3}{2}}\\\approx 5537.72 ~Rs\)
A rectangle has an area of 18 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
B
C
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
4 cm and 5 cm
Answer:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
Step-by-step explanation:
We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
I do not understand why the answer is a) for this equation: y'=2y+x. I assumed that the answer is c) or a), because numbers in the equation are positive, but I'm not sure this is the correct method here
The slope field for the differential equation would be D . Graph D .
What are slope fields ?A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .
The length of line segments represents the magnitude, while the direction indicates the sign of the slope.
The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.
Find out more on slope fields at https://brainly.com/question/30194885
#SPJ1
the usher at a wedding asked each of the 808080 guests whether they were a friend of the bride or of the groom. here are the results
The probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.
Given that, at a wedding each guest asked the 80 guests whether they were a friend of the bride or of the groom.
What is the probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Total Number of Guests which forms the Sample Space, n(S)=80
Let the event (a friend of the bride) =A
Let the event (a friend of the groom) =B
n(A) =59
n(B)=50
Friends of both bride and groom,
So,
n(A∪B)=n(A)+n(B)-n(A∩B)
n(A∪B)=59+50-30
n(A∪B)=79
The number of Guests who was a friend of the bride OR of the groom = 79
Thus,
P(A∪B)=n(A∩B)/n(S)
= 79/80
= 0.9875
Hence, the probability that a randomly selected person from this sample was a friend of the bride OR of the groom is 0.9875.
To learn more about the probability visit:
brainly.com/question/11234923.
#SPJ4
Two angles are supplementary if they are a linear pair. Write as an if-then statement
We are given the following statement.
Two angles are supplementary if they are a linear pair.
We are asked to write the above statement as an if-then statement.
In an if-then statement, we first write the "hypothesis" and then write the "conclusion"
If (hypothesis) then (conclusion)
For the given case,
Hypothesis = two angles are a linear pair
Conclusion = they are supplementary
So, the if-then statement is
If two angles are a linear pair, then they are supplementary.
What is the equation of the line that passes through the points shown in the table
y = x + 7
Explanations:The equation of a line is given as:
\(y-y_1=m(x-x_1)\)\(\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ m\text{ = }\frac{9-3}{2-(-4)} \\ m\text{ = }\frac{6}{6} \\ m\text{ = 1} \end{gathered}\)Substitute x₁ = -4, y₁ = 3, and m = 1 into the equation above:
\(\begin{gathered} y\text{ }-\text{ 3 = 1(x - (-4))} \\ y\text{ - 3 = x + 4} \\ y\text{ = x + 4 + 3} \\ y\text{ = x + 7} \end{gathered}\)what is the solution of square root 2x+4=16?
A.x=6
B.x=72
C.x=126
D.no solution
Answer:A.6
Step-by-step explanation:first you subtract -4 with +4 and same ro the other side 16-4 =12. Then tha t leaves you with 2x=12 , so then you do 12÷2=6 . so x=6
HELP WILL GIVE BRANLIEST! Please give an explanation
The letter "t" makes up an estimated 10% of a certain language. Assume this is still correct. A random sample of 500 letters is taken from a randomly selected, large book and the t's are counted. Find the approximate probability that the random sample of 500 letters will contain 9.1% or fewer t's.
Answer:
0.2755
Step-by-step explanation:
We intend to make use of the normal approximation to the binomial distribution.
First we'll check to see if that approximation is applicable.
For p=10% and sample size n = 500, we have ...
pn = 0.10(500) = 50
This value is greater than 5, so the approximation is valid.
__
The mean of the distribution we'll use as a model is ...
µ = p·n = 0.10(500)
µ = 50
The standard deviation for our model is ...
σ = √((1-p)µ) = √(0.9·50) = √45
σ ≈ 6.708204
__
A continuity correction can be applied to better approximate the binomial distribution. We want p(t ≤ 9.1%) = p(t ≤ 45.5). For our lookup, we will add 0.5 to this limit, and find p(t ≤ 46).
The attached calculator shows the probability of fewer than 45.5 t's in the sample is about 0.2755.
matty jogs 9 km/hr. Identify the correct conversion factor setup required to compute Matty's speed in m/s.
Answer:
Step-by-step explanation:
in the diagram, POS and UOR are straight lines. OQ is the bisector of angle POR . angle POU and angle UOT are complementary angles.Find the values ofx abd y.
Answer:
x = 34° and y = 62°
Step-by-step explanation:
Complementary angles sum to 90°, therefore 90 = 56 + x which means that x = 34°. The angles formed by an angle bisector are congruent and so are vertical angles; this means that ∠SOR = ∠POU = 56° and ∠POQ = ∠QOR = y. Since POS is a straight line, straight lines have a measure of 180° and because ∠POS = ∠POQ + ∠QOR + ∠SOR, we know that 180 = y + y + 56 → 180 = 2y + 56 → 180 → 2y = 124 → y = 62°.
PLEASE HELP WITH EXPLANATION NO LINKS OR I Will Report You
Answer:
none of above
Step-by-step explanation:
please mark me brainleast
Answer: a because 2 negatives equals a positive
Step-by-step explanation:
Use the discriminant to determine the number of real roots for the equation 5x2 −19x − 4 = 0.
discrminant :
number of real roots:
Step-by-step explanation:
5x² - 19x - 4
use the discriminant formula
D = b² - 4ac
label the coefficients
5 = a -19 = b -4 = c
D = -19² - 4(5)(-4)
D = -281
since the discriminant is negative this eqaution ahs no real solutions
What percent of 30 is 45?
Please
Answer:
150
Step-by-step explanation:
Answer:
answer is 66.67
Step-by-step explanation:
30: 45*100=
(30*100):45=
3000:45=66.67
A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs costs $15 for 20 balls. Which bag prices individual baseballs lower?
Answer:
Step-by-step explanation:
For the first bag:
Price of the bag = $12
Number of balls in the bag = 15
Price per ball = Price of the bag / Number of balls
Price per ball for the first bag = $12 / 15 = $0.8
For the second bag:
Price of the bag = $15
Number of balls in the bag = 20
Price per ball = Price of the bag / Number of balls
Price per ball for the second bag = $15 / 20 = $0.75
Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.
Answer:
Step-by-step explanation:
To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.
For the first bag, the price per ball is $12 / 15 = $0.80.
For the second bag, the price per ball is $15 / 20 = $0.75.
Therefore, the second bag prices individual baseballs lower.
Which of the following is true about the graph of y = -x(squared) - 4?
A. It intersects the x-axis at (2.0) and (-2, 0).
B. It is positive between x = 2 and x = 10.
C. The maximum is at (0,4).
D. The values increase between x = 0 and x = 10.
Answer:
D bro
Step-by-step explanation:
If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?
Work Shown:
time = distance/speed
time = (1.5 miles)/(3 mph)
time = (1.5/3) hours
time = 0.5 hours
time = 30 minutes
It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.
FedEx charges $14 per package plus $0.20 per
ounce. Write and solve for an equation that can be
used to find the weight of the package that costs
$19.40 to ship?
Answer:
19.40-14=5.40
5.40÷0.20=ounces
Hope this helps!!!
Answer:
27 ounces
Step-by-step explanation:
$14 package original charging fee
+ .20x27 = 5.40
14 + 5.4 = 19.4
$19.4
If i had 127 tables and each table could fit 4 people how many people could i seat?
I need help from someone please with this problem
Answer:
5
Step-by-step explanation:
To evaluate (f ○ g)(24), first evaluate g(24) then substitute the value obtained into f(x), that is
g(24) = \(\sqrt{24-8}\) = \(\sqrt{16}\) = 4 , then
f(4) = 2(4) - 3 = 8 - 3 = 5
How much interest will Blaine owe when he graduates from college
if he took out an unsubsidized $2,000 Stafford loan during his last
year of college? The interest rate was 4% and interest was deferred
during that year.
math
The simple interest of $2000 for a 4% rate of interest for one year will be $80.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P = $2000
Rate of interest = 4%
Time period T = 1 year
Simple interest = PRT/100
Simple interest = 2000 x 4 x 1 / 100 = $80
Hence "The simple interest of $2000 for a 4% rate of interest for one year will be $80".
For more about simple interests
https://brainly.com/question/25845758
#SPJ1
What is the slope of the line below?
Answer:
The slope of the line is 1/2.
Hamilton is saving for retirement. He deposits $275 each month at 2.6% annual interest for 30 years. According to his calculations, at the end of 30 years he should have $149,722,57 in his account. How much of this did Hamilton contribute and how much of this is interest?
After saving for 30 years, Hamilton would have contributed $99,000 and made a total interest of $50,722.57.
Hamilton will indeed have $149,722.57 at the end of 30 years.
Out of this, the amount he would have contributed is:
= Amount contributed per month x Number of months contributed
= 275 x 30 years x 12 months
= $99,000
The amount that would be interest is:
= Total amount accumulated - Amount contributed
= 149,722.57 - 99,000
= $50,722.57
In conclusion, Hamilton would have contributed $99,000 and made $50,722.57 in interest.
Find out more at https://brainly.com/question/11741992.
#1
If Four cups of flour makes seven dozen holiday cookies, how many cups of flour are needed to make 126
cookies?
Answer:
6 cups to make 126 cookies
Step-by-step explanation:
dozen = 12 cookies
7 x 12= 84
126 - 84 = 42
so you will have to make 42 cookies more and that will be 2 more cups of flour
it total is 6 cups to make 126
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
Answer:
perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4
Let a line l be given in the coordinate plane. What linear equation is the graph of line l?
6
5
1
3-
3 2
2
1
0
&
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
-1
Answer:
y=2/7x+2.5
Step-by-step explanation:
10= 4+2s pls give me the answer tyy
Step-by-step explanation:
10=4+2s
2s=10-4
2s=6
s=6/2
s=3
Hello!
Answer:
s=3
Step-by-step explanation:
Hope this helps! :) if u need an explanation just tell me
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
Read more about two column proof at; https://brainly.com/question/1788884
#SPJ1
Drag and drop the answers into the boxes to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
A sequence of transformations that maps △DEF to △D′E′F′is a Response area followed by a Response area.
The two right triangles are on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 with an increment of 1. The vertical y-axis ranges from negative 5 to 5 with an increment of 1. A dashed triangle has vertex F prime at begin ordered pair 0 comma 1 end ordered pair, vertex D prime at begin ordered pair 1 comma 1 end ordered pair and vertex E prime at begin ordered pair 1 comma 4 end ordered pair. A solid triangle has vertex F at begin ordered pair negative 1 comma negative 1 end ordered pair, vertex D at begin ordered pair negative 2 comma negative 1 end ordered pair and vertex E at begin ordered pair negative 2 comma negative 4 end ordered pair.
A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.
Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation
https://brainly.com/question/4289712
A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
What is the sequence of transformations?The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.
The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.
Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.
Read more about Sequence of Transformations at; https://brainly.com/question/4289712
#SPJ1
Sets Sets M and Fare defined as follows: M = {a,b,c,d} F = {c, d, e, f} Find the intersection of M and F.
The intersection of sets M and F contains the elements "c" and "d".
To find the intersection of sets M and F, we need to identify the elements that are common to both sets.
M = {a, b, c, d}
F = {c, d, e, f}
The intersection of M
and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.
Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".
Therefore, the intersection of M and F can be expressed as:
M ∩ F = {c, d}
So, the intersection of sets M and F contains the elements "c" and "d".
for such more question on intersection
https://brainly.com/question/11337174
#SPJ8
In hypothesis testing, does choosing between the critical value method or the P-value method affect your conclusion? Explain.
Answer:
The correct answer is No.
Choosing between the critical value method or the P-value method does not affect one's conclusion because both methods look at the probability of the test statistic's and its level of significance .
Given the methodology utilized by both methods, they usually arrive at the same conclusion.
Cheers!