Given that,
The interest of sum of money is 6 yrs in 3/8 of the principal.
To find,
The rate of interest.
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.
HELPPPPP MEEEEE PLEASEEEE
What is the denominator when 5/6 is multiplied by 7/8
Answer:48
Step-by-step explanation:
this is because 5x7 equals 35 and 6x8 equals 48 and the answer is 35/48
Answer:
the denominator would be 48
Step-by-step explanation:
8*6=48 which is done by multiplying the 2 denominators but the total fraction would be 35/48
What is the slope of -4y + 2x < -12?
Answer:
x<2y-6
Step-by-step explanation:
-4y+2x<-12
4y 4y
2x<4y-12
^divided by 2 on both sides
x<2y-6
A solution has a pH of 10.3. When a solid is dissolved in the solution, the pH changes to 9.6. What can be inferred from this observation? (2 points)
Answer:
We see that the original material was a base, after adding the other material into the base it reduces its basicity.
So we can infer that the substance added was an acid as if we add bases it will increase the basicity.
PLZ MARK BRAINLIEST
Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after 3 years?
Answer:
615
Step-by-step explanation:
4100*3 then you have to multiply by the rate in decimal form which is 0.05!
Answer:
a.
Step-by-step explanation: if i’m wrong lmk
The pond at a local park is home to a number of birds. ⅕ of the birds are white. ⅔ of the white birds are ducks. ¾ of the ducks are hungry. What fraction of the birds are hungry, white ducks?
Answer:
Step-by-step explanation:
the park has 1/5 white birds
out of this number, 2/3 are ducks
ducks=(1/5)/(2/3)=3/10
hungry ducks=(3/10)/(3/4)=6/15
What is the quotient for 6 divided by 2/3
Answer:
9
Step-by-step explanation:
change 6 into 6/1
6/1 times 3/2 cause you switch around the two and three and change it to multiplication
6 times 3 = 18
2 times 1 = 2
18/2 = 9/1 = 9
Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over t months is given by the equation C=45t+100. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
The slope intercept form is y=mx+b, and b represents the y-intercept. In the given equation C=45t+100, 100 is the y-intercept. It represents the one-time fee to join the gym membership.
Answer:
y intercept is 100
which represents the one-time joining fee
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve.
4x + 6 < -6
plz show ur work ♡
Answer:
The answer is x<−3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
4x+6−6<−6−6
4x<−12
Step 2: Divide both sides by 4.
[tex]\frac{4x}{4} =\frac{-12}{4}[/tex]
x<−3
A decking company estimates how many gallons of stain each deck requires before starting construction. Apart from knowing the total area of each deck, which additional quantity will allow the decking company to make an accurate estimation
Answer:
Concept: Engineering Statistics
To make accurate estimations they need the total volume of the area.Hence they need the area coverage by the selected stain.Solution: Are covered by each gallon of stain This provides an accurate representation to a significant figure.Which of the following statements are not proportional?
5/4 = 10/8
7/5 = 35/25
2/3 = 12/18
4/6 = 9/12
Answer:
4/6 = 9/12 is not proportional
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 11.1 in and a base with a
circumference of 17.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 0.8 in^3
Step-by-step explanation:
Formula:
V = πr^2(h/3)
C = 2πr
Given:
h=11.1
C = 17.6
C = 2πr
17.6 = 22πr
0.8/π = r
V = πr^2(h/3)
V = π(0.8/π)^2((11.1)/3)
V = π(0.0648455575)(3.7)
V = 0.8 in^3
WILL GIVE BRAINLIEST - Given z = 1 –i, which letter represents z^3?
Answer:
A
Step-by-step explanation:
EDGE 2020
The solution is Option A.
The value of the equation is P = -2 - 2i
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as z
Now , the value of z is
z = ( 1 - i )
Now , calculate the value of z³ is
z³ = ( 1 - i )³
z³ = 1³ - i³ - 3 ( 1 )²i + 3 ( i )² 1
On simplifying the equation , we get
z³ = 1 + i - 3 - 3i
z³ = -2 - 2i
Therefore , the value of z³ is -2 - 2i
The point on the graph is A
Hence , the value of the equation is -2 - 2i
To learn more about equations click :
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plz help! will give brainliest!!!
Answer:
c
Step-by-step explanation:
The taxi driver charges $3.50 just to get in the cab and then $2.50 per mile. If Lisa travels m miles, which equation
tells Lisa how much she will have to pay for her taxi ride, r?
A r = 2.5 +3.5
B = 3.5m + 2.5
r= 2.5m + 3.5
Dr= 2.5m - 3.5
Answer:r=2.5m+3.5
Step-by-step explanation:
Which symbol will make the number sentence true?
Answer:
<
Step-by-step explanation:
8/11=0.72727272727272727272727272 just repeated over and over again so its less
Answer:
b
Step-by-step explanation:
The ratio of boys to girls on Rowan’s swim team is 2:3. If there are 24 boys on the team, how many girls are there?
Answer:
36 girls
Step-by-step explanation:
2x=24
x=12
3(12) = y
y= 36
Pls help I’ll mark brainliest
Plezzzzzwzzzzzzzz help
Answer:
[tex] 3 - a [/tex]
Step-by-step explanation:
Given that when you add two numbers together the result is 3.
The greater of the number is given as a.
Let "x" represent that lesser number.
Thus:
[tex] a + x = 3 [/tex]
To make x the subject of the formula. Subtract a from both x.
[tex] a + x - a = 3 - a [/tex]
[tex] x = 3 - a [/tex]
Therefore, the expression that represents the lesser number, x, is:
[tex] 3 - a [/tex]
a hotel with 75 rooms has 45 for doubles and 30 singles. singles can be booked in any room, but reservations for two or more people must be booked in double rooms. what inequalities represents this situation?
Answer:
y = 75 - x
Step-by-step explanation:
From the question, we are given variables, and then we can see that
when x = 75 then y = 0
when x = 30 then y = 45
Finding the difference, we have
slope(m) = (45 - 0) / (30 - 75)
slope(m) = 45 / -45
slope(m) = -1
Next, we use the calculated m, to find b, using the formula
y = mx + b
0 = -1 * 75 + b
0 = -75 + b
b = 75
And finally, to get the needed equation, we say that
so y = mX+c
So that
y = -1 * x + 75
y = -x + 75
or y = 75 - x
What is the equation of 21 less than 11 times a number results in seven times a number decreased by 29 what is the number
Answer:
x=-2
Step-by-step explanation:
11x-21=7x-29
11x-7x=-29+21
4x=-8
x=-2
I WILL GIVE BRAINLIST Answer the questions to compare 3/12 and 2/9 by using their decimal forms.
1. How can you find the decimal forms of 3/12 and 2/9?
2. Find the decimal form of 3/12 Show your work
3. Find the decimal form of 2/9 Show your work
Answer:
3/12=0.25
Step-by-step explanation:
3/12=1/4
1/4*25/25 =25/100
25/100 = 0.25
Answer:
1. To find the decimal form of 2/9 and 3/12, you have to divide the numerator by the denominator.
2. 0.25
3. 0.22222222
Step-by-step explanation:
1. pretty much explained it
2. divided the numerator by the denominator
3. same thing as 2 (divided the numerator by the denominator)
determine if any of the following listed pairs are congruent, select all that apply
a) What are the coordinates of A?
b) What are the coordinates of B?
Answer:
A (-2.5, -1.5)
B (4.5, -3.5)
if a bus with an average speed of 45 km per hour takes 10 hrs to travel from a place to other in how many hour the bus can travel from one place to other if speed is increased by 5 km per hour
Answer:
9 Hours
Step-by-step explanation:
If it is increased by 5 km that would make it 50. But, let's go back to the 45 to find out how many km we are traveling. If we are doing 45 km per hour then you just multiply the 10 by 45 and get 450 km. Now that we have that, if the new speed is 50 km per hour, all we need to do is 450 divided by 50, which will get you 9.
Oscar is selling tickets to a school play. Adult tickets cost $8 and student tickets cost $7. If he collected $245 by selling 34 tickets, how many adult and student tickets did he sell?
Answer:
Adult= 7 tickets
student= 27 tickets
Step-by-step explanation:
Step one:
let adult tickets be x
and students be y
Adult tickets cost $8 and
student tickets cost $7
So
[tex]8x+7y=245-----------1\\\\x+y=34-----------2[/tex]
Step two:
from equation 2
x=34-y
put the value of x in equation 1
[tex]8(34-y)+7y=245\\\\272-8y+7y=245\\\\272-y=245\\\\-y=245-272\\\\-y=-27\\\\y=27[/tex]
put y= 27 in equation 1
[tex]x+27=34\\\\x=34-27\\\\x=7[/tex]
Write an equation of the line that passes through the given point as is (a) parallel and (B) perpendicular to the given line
A. y=
B. y=
what is 62 ÷ 3186 I need to know?
Answer:
0.02
Step-by-step explanation:
What is the solution to the following system of equations?
3x - 6y = -12
x - 2y = -8
(1) Use the substitution method to justify that the given system of equations has no solution.
(2) What do you know about the two lines in this system of equations?
Answer:
1.) x=2y-4
2.) x=2y-4 :)
Answer:
[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]
what is the quotient of 3 divided 1/6
Answer:
To find the quotient of 3 divided by 1/6 you must multiply by the reciprocal of the fraction, in this case it is 6.
So you would rewrite it as,
3*6=18
So your answer is multiply 3 by 6.
P.S * represents multiplication.
Step-by-step explanation:
Let X and Y equal the concentration in parts per billion of chromium in the blood for healthy persons and for persons with a suspected disease, respectively. Assume that the distributions of X and Y are normal. A sample of 8 observations for X have a sample mean of 15.75 and a sample variance of 46.21. A sample of 10 observations of Y have a sample mean of 23.3 and a sample variance of 92.68. Find a 90% confidence interval for the ratio of variances,
Answer:
The value is [tex]0.152 \le \frac{\sigma_1^2}{\sigma_2^2} \le 1.835[/tex]
Step-by-step explanation:
From the question we are told that
The number of observation for X is [tex]n_1 = 8[/tex]
The sample mean for X is [tex]\= x _1 = 15.7 5[/tex]
The sample variance for X is [tex]s^2_1 = 46.21[/tex]
The number of observation for Y is [tex]n_1 = 10[/tex]
The sample mean for Y is [tex]\= x _1 = 23.3[/tex]
The sample variance for Y is [tex]s^2_1 = 92.8[/tex]
Generally the degree of freedom for X is
[tex]df_1 = n_1 - 1[/tex]
=> [tex]df_1 = 8 - 1[/tex]
=> [tex]df_1 = 7[/tex]
Generally the degree of freedom for X is
[tex]df_2 = n_2 - 1[/tex]
=> [tex]df_2 = 10 - 1[/tex]
=> [tex]df_2 = 9[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
=> [tex]\frac{\alpha}{2} = \frac{0.10}{2}[/tex]
=> [tex]\frac{\alpha}{2} = 0.05 }[/tex]
Generally the 90% confidence interval for the ratio of variances is mathematically represented as
[tex]\frac{s_1^2}{s_2^2 } * \frac{1}{F_{ 1 - \frac{\alpha }{2} , df_1 , df_2 }} \le \frac{\sigma_1^2}{\sigma_2^2} \le \frac{s_1^2}{s_2^2 } * \frac{1}{F_{ \frac{\alpha }{2} , df_1 , df_2 }}[/tex]
=> [tex]\frac{46.21}{92.68 } * \frac{1}{F_{ 1 - 0.05 , 7 , 9 }} \le \frac{\sigma_1^2}{\sigma_2^2} \le \frac{46.21}{92.68 } * \frac{1}{F_{ 0.05 , 7 , 9 }}[/tex]
=> [tex]\frac{46.21}{92.68 } * 0.304 \le \frac{\sigma_1^2}{\sigma_2^2} \le \frac{46.21}{92.68 } * 3.677[/tex]
=> [tex]0.152 \le \frac{\sigma_1^2}{\sigma_2^2} \le 1.835[/tex]