An accountant purchase of the T-bill with a face value of $6000 for 5945 Dollars if the term of the T-bill is 125 days What is the annual simple interest rate in percent earned by the client round to the nearest 10th of a percent use 360
Answer:
2.6%
Explanation:
We'll use the below formula to determine the interest rate;
[tex]Interest\text{ rate }=\frac{(face\text{ value - initial purchase prise)}}{\text{face value}}\cdot\frac{360}{days\text{ of maturity}}[/tex]We're given the below parameters in the question;
*Initial purchase price = $5945
*Face value (future value) = $6000
*Days of maturity = 125
Let's now substitute the above values into our formula and solve for the Interest rate as seen below;
[tex]\begin{gathered} \text{Interest rate }=\frac{(6000-5945)}{6000}\cdot\frac{360}{125} \\ =\frac{55}{6000}\cdot\frac{360}{125} \\ =0.00916666667\cdot2.88 \\ =0.0264 \\ =2.6\text{\%} \end{gathered}[/tex]This probability distribution shows thenumber of times a group of people takesselfies before liking them.Retakes0 1 2 3 4Frequency 27 29 18 14 12Using this distribution, find the probability that aperson will like their selfie without any retakes.p = [?]Enter
Given
Probability distribution of the no. of retakes of selfies
Find
the probability that a person will like their selfie without any retakes.
Explanation
People which had taken selfie without retake = 27
Total people = 27+29+18+14+12 = 100
[tex]P(Selfie\text{ }without\text{ }retake)=\frac{27}{100}=0.27[/tex]Final Answer
The probability that a person will like their selfie without any retakes = 0.27
if 4x + 5 is a factor of 12x^2 - x + c, what is the value of C ?
If 4x+5 is a factor of 12x^2-x+c, this means that
[tex]12x^2-x+c=(ax+b)(4x+5)=4ax^2+4bx+5ax+5b=4ax^2+(4b+5a)x+5b[/tex]Where a and b are two constants.
Then, we can find the values of a and b as follows:
[tex]\begin{gathered} 12x^2=4ax^2 \\ \Rightarrow a=3 \\ -x=(4b+5a)x \\ \Rightarrow-1=(4b+5a)=4b+5\cdot3=4b+15 \\ \Rightarrow-16=4b \\ \Rightarrow b=-4 \end{gathered}[/tex]Finally, we can find the value of c
[tex]\begin{gathered} c=5b \\ \Rightarrow c=5(-4)=-20 \\ \Rightarrow c=-20 \end{gathered}[/tex]The answer is c=-20
Given secant of theta is equal to the square root of 6 over 3 comma what is cos?one halfsquare root of 6 over 2square root of 6 over 32
We need to find cos of theta using the equation of secant of theta:
Now, we need to use the next trigonometric function:
[tex]\begin{gathered} \sec \theta=\frac{1}{\cos\theta} \\ \text{Then, we can replace} \\ \frac{1}{\cos\theta}=\frac{\sqrt[]{6}}{3} \\ \text{Solve for cos}\theta\colon \\ \text{Multiply both sides by 3:} \\ 3(\frac{1}{\cos\theta})=3(\frac{\sqrt[]{6}}{3}) \\ \frac{3}{\text{cos}\theta}=\sqrt[]{6} \\ \text{Multiply both sides by cos}\theta\colon \\ \cos \theta\cdot\frac{3}{\cos\theta}=\cos \theta\cdot\sqrt[]{6} \\ 3=\cos \theta\cdot\sqrt[]{6} \\ \text{Divide both sides by }\sqrt[]{6} \\ \frac{3}{\sqrt[]{6}}=\frac{\cos\theta\cdot\sqrt[]{6}}{\sqrt[]{6}} \\ \frac{3}{\sqrt[]{6}}=\cos \theta \\ it\text{ also can be expressed as :} \\ \cos \theta=\frac{\sqrt[]{6}}{2} \end{gathered}[/tex]Therefore, the correct answer is the second one.
[tex]\begin{gathered} To\text{ get the answer we need to cancel the square root on the denominator:} \\ \frac{3}{\sqrt[]{6}}\cdot\frac{\sqrt[]{6}}{\sqrt[]{6}}=\frac{3\sqrt[]{6}}{(\sqrt[]{6})^2}=\frac{3\sqrt[]{6}}{6} \\ \text{Simplify by 3:} \\ \frac{3\sqrt[]{6}}{6}=\frac{1\sqrt[]{6}}{2}=\frac{\sqrt[]{6}}{2} \end{gathered}[/tex]Solve for x.
X
x + 2 /4 =8
Answer:
first take the 4 to the 8 it will turn into multiplication from division and 8 times 4 is equal to 32
second take 2 to the 32 it will become minus so 32 - 2 is equal to 30
lastly x = 30
The table shows the relationship between the number of hours, h, John has been hiking and the total distance, d, he has traveled in kilometers.
In order to determine who is faster it is necessary to calculate the rate of change for both table and graph.
Use the following formula for the rate of change:
m = (d2 - d1)/(h2 - h1)
where (h1,d1) and (h2,d2) are two points on the line or any pair of values on the table.
John:
use (d1,h1) = (0,0) and (d2,h2) = (1,4):
m = (4-0)/(1-0) = 4
Sara:
use (h1,d1) = (0,0) and (h2,d2) = (1,5)
m = (5 - 0)/(1-0) = 5
You can notice that the rate of change of Sara is greater then the rate of change of John.
Hence, you can conclude that Sara is faster than John
What is the probability that a randomly chosen bow tie is designed with swirls or is made of velvet?
• Let's call A the event of a bow tie designed with swirls (P(A)=0.3).
,• Let's call B the event of a bow made of velvet (P(B)=0.1).
It is important to know that the events are mutually exclusive because bows can be made of two different materials at the same time. which means there's no intersection between A and B. So, the probability is
[tex]P(A\cup B)=P(A)+P(B)=0.3+0.1=0.4[/tex]Hence, the probability is 0.4.Use the models of f(x) and g(x) to compare the two functions.f(x) = { 3x + 4, x ≤ 1 { 1/3x + 8, x > 1Which comparison is correct?f(-3) < g(-3)f(-3) > g(-3)f(-3) = g(-3)
The correct option regarding the numeric values of the functions at x = -3 is given as follows:
f(-3) < g(-3).
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
At x = -3, the definition of function f(x) for this problem is given as follows:
f(x) = 3x + 4.
(piece-wise function has different definitions depending on the input, -3 is less than 1 hence the first definition is applied).
Hence the numeric value is:
f(-3) = 3(-3) + 4 = -9 + 4 = -5.
From the table, the numeric value of function g(x) at x = -3 is given as follows:
g(-3) = 0.
0 is greater than -5, hence the correct option is given as follows:
f(-3) < g(-3).
A similar problem, also about the numeric values of a function, is given at brainly.com/question/28367050
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Divide the following polynomial by 2x^2y14^x4y^3-6x^5y^2the ^ stands for exponentplease help!! last day to do this
In order to divide these polynomials, let's use the following property:
[tex]\frac{a^b}{a^c}=a^{b-c}[/tex]So we have:
[tex]\begin{gathered} \frac{14x^4y^3-6x^5y^2}{2x^2y}=\frac{14x^4y^3}{2x^2y}-\frac{6x^5y^2}{2x^2y}=7x^{4-2}y^{3-1}-3x^{5-2}y^{2-1} \\ =7x^2y^2-3x^3y \end{gathered}[/tex]If the circumference of each tire on a vehicle is approximately 88, how many miles will the vehicle travel when the tires make 35,000 revolutions?Please help me. This is an extra reference question.
Given:
The circumference of each tire on a vehicle is approximately 88.
The circumference of the tire means the distance traveled by vehicle in one revolution.
And the tire makes 35000 revolutions.
So, the distance travel is,
[tex]\begin{gathered} d=88\text{ }\times35000 \\ d=3080000\text{ } \end{gathered}[/tex]Answer: 3080000 units.
A cylinder is 320 cubic inches and a height of 5 inches. What is the radius of the cylinder
Solution
For this case we know that the volume is given by:
[tex]V=r^2h\pi[/tex]And we can solve for the radius and we got:
[tex]r=\sqrt[]{\frac{V}{h\pi}}=\sqrt[]{\frac{320}{5(\pi)}}=4.514in[/tex]Then the answer would be 4.514 in
Given the following data set: 90, 92, 90, 91, 92, 90, 93, 95, 98 What is the mean? 91.9 92 OOO 92.3 92.6
The mean is the average of the number. In our case we have nine number, then the mean is
[tex]\operatorname{mean}=\frac{90+92+90+91+92+90+93+95+98}{9}[/tex]It gives
[tex]\begin{gathered} \operatorname{mean}=\frac{831}{9} \\ \operatorname{mean}=92.3 \end{gathered}[/tex]therefore, the answer is 92.3
In order to solve the equation 2x + 7 = –x + 1, a student graphs two functions, f(x) and g(x). f(x) = 2x + 7 g(x) = –x + 1 What is the solution to the equation f(x) = g(x)?
The solution to the system of equations f(x) = g(x) is:
x = -2, y = 3.
What is a system of equations?A system of equations is a set of equations that is related, and the solution of the system is found when the equations are equal, that is, when the equations all intersect.
In the context of this problem, the equations are given as follows:
f(x) = 2x + 7.g(x) = -x + 1.The solution to the given system of equations is at the value of x for which f(x) = g(x), hence it is obtained as follows:
f(x) = g(x)
2x + 7 = -x + 1 (solve just line any equality, isolating the desired variable).
2x + x = 1 - 7
3x = -6
x = -6/3
x = -2.
The y-coordinate of the solution of the system is given as follows:
y = -(-2) + 1 = 2 + 1 = 3.
More can be learned about a system of equations at https://brainly.com/question/24342899
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Graph the system below and write its solution.2x+y=-6y=1/4x+3Note that you can also answer "No solution" or "Infinitely many" solutions.
System of Equations
Given the system of equations:
2x + y = -6
y = 1/4x + 3
It's required to solve it by graphing.
The graph of a line can be drawn by only knowing two points of it.
To graph the first equation, solve for y:
y = -2x - 6
Now give x two values. For example, x = -5 and x = -1.
For x = -5:
y = -2(-5) - 6
y = 10 - 6 = 4
Point (-5, 4)
For x = -1:
y = -2(-1) - 6
y = 2 - 6 = -4
Point (-1, -4)
With these points, we can graph the first equation. The graph will be shown below in red.
Now graph the second equation:
y = 1/4x + 3
For x = -8
y = 1/4(-8) + 3
y = -2 + 3 = 1
Point (-8, 1)
For x = 0:
y = 1/4(0) + 3
y = 0 + 3 3
y = 3
Point (0,3)
The second line is drawn in blue below.
Julie went to the 10%
off store and bought 3
candy bars for $1.30 each,
a loaf of bread for $2.90,
and 2 cases of Dr Pepper
for $6.50 each. How
much will she save with
the 10% discount?
Answer: $17.82
Step-by-step explanation: Add each item up to get $19.80. Then you take 10% of that by multiplying it 0.9 to get 17.82. You multiply it by 0.9 because that is 90% of 19.80 which is a 10% decrease.
KLM~PQR with a scale factor of 3:5, find the perimeter of PQR
We have:
KL = 6
KM = 12
LM = 15
And the given scale factor is 3:5.
The KLM and PQR triangles are similar, therefore:
KL:PQ = 3:5
KM:PR = 3:5
LM:QR = 3:5
This can also be expressed as a fraction:
[tex]\frac{KL}{PQ}=\frac{3}{5}[/tex]Substitue KL = 6 and find PQ:
[tex]\begin{gathered} \frac{6}{PQ}=\frac{3}{5} \\ 6\cdot5=3\cdot PQ \\ 30=3\cdot PQ \\ \frac{30}{3}=\frac{3PQ}{3} \\ PQ=10 \end{gathered}[/tex]For side PR:
[tex]\frac{KM}{PR}=\frac{3}{5}[/tex]KM = 12, so:
[tex]\begin{gathered} \frac{12}{PR}=\frac{3}{5} \\ 12\cdot5=3\cdot PR \\ 60=3\cdot PR \\ \frac{60}{3}=\frac{3PR}{3} \\ PR=20 \end{gathered}[/tex]And for side QR:
[tex]\frac{LM}{QR}=\frac{3}{5}[/tex]LM = 15, then:
[tex]\begin{gathered} \frac{15}{QR}=\frac{3}{5} \\ 15\cdot5=3\cdot QR \\ 75=3\cdot QR \\ \frac{75}{3}=\frac{3QR}{3} \\ QR=25 \end{gathered}[/tex]Next, the perimeter is given by:
[tex]P=PQ+PR+QR=10+20+25=55[/tex]Answer: The perimeter of ΔPQR is 55.
Which polynomial represents the sum below?
(3x² + 3) + (3x² + x + 4)
OA. 9x²+x+12
OB. 6x²+x+7
OC. 6x²+x+12
OO
D. 9x²+x+7
Answer:
Hi there! The answer is C.
(3 {x}^{2} + 3 ) + (3 {x}^{2} + x+ 4) =(3x
2
+3)+(3x
2
+x+4)=
First we work out the parenthesis, which is easy, because we can just remove them.
3 {x}^{2} + 3 + 3 {x}^{2} + x + 4 =3x
2
+3+3x
2
+x+4=
Now rearrange our expression (in order to collect the terms later).
3 {x}^{2} + 3 {x}^{2} + x + 3 + 4 =3x
2
+3x
2
+x+3+4=
Now we can collect the terms.
6 {x}^{2} + x + 76x
2
+x+7
The answer is C.
~
Step-by-step explanation:
this is your correct answer
Question is down below. The drop down menu choice is the same for each of them.
A scale factor (k) is a number by which the size of any geometrical figure or shape can change:
• If the image is ,enlarged,, then the ,scale factor is more than one (,k > 1,).
,• If the image is ,contracted,, then the ,scale factor is less than one (0 < k < 1).
Then, the smaller the scale factor, the smaller the figure. In our case, the options given are:
[tex]\frac{1}{4}<\frac{1}{2}<\frac{3}{4}[/tex]And if we evaluate the size of the dilated figures, we can see that:
[tex]BA is the biggest while B is the smallest.Then we can suppose the scale factors.
Answer:
• A goes with 3/4
,• C goes with 1/2
,• B goes with 1/4
Choose the point that shows the correct location for the polar coordinate (3,(2π)/3)
It is point A.
From the polar graph, we trace 3 on the horizontal axis and go from there round to where the point intersects the 2π/3 line and this is precisely at point A. It is worthy to note that 2π/3 = 120 degrees.
Solve for the two possible values of X: (3x – 14) (8x + 13) = 0
Since the right side is 0, so equate each factor by 0 and find the values of x
Put 3x - 14 = 0 and 8x + 13 = 0
3x - 14 = 0
Add 14 to both sides
3x - 14 + 14 = 0 + 14
3x = 14
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{14}{3}[/tex][tex]x=\frac{14}{3}[/tex]This is the first value of x
Let us do the same with other factor
8x + 13 = 0
Subtract 13 from both sides
8x + 13 - 13 = 0 - 13
8x = - 13
Divide both sides by 8
[tex]\frac{8x}{8}=-\frac{13}{8}[/tex][tex]x=-\frac{13}{8}[/tex]This is the second value of x
So the two values of x are
[tex]\frac{14}{3},-\frac{13}{8}[/tex]what is another way to write 4×4×4×4×4 20 4^55^4
4×4×4×4×4 = 4 ^ (5)
(1) (2) (3) (4) (5)
4^5 ( )
given g(x) = 3(1 - x), what is the value of g(-2)
cccccccccccc ccccccccccccccccc
Answer:
g(-2)=9
Step-by-step explanation:
3(1-(-2))
3(3)
9
Please mark brainliest hopes this helps
Find the equation of the line that has slope -5/9 and which passes through (-1, -7).
...
⇒Now that you have been given the slope of the line/ the gradient of the line and a point you can easily plug in the known values in the general equation of a straight line which is y=mx+c where m is the slope and (x,y) are the given points. and c is the y-intercept
[tex]-7=-\frac{5}{9} (-1)+c\\-7=\frac{5}{9} +c\\c=-7-\frac{5}{9}\\ c=-\frac{68}{9}[/tex]
⇒The equation of the line now is:
[tex]y=-\frac{5}{9}x -\frac{68}{9}[/tex]
GOODLUCK!!
The product of x and its opposite is always 1.O TrueO False
Solution
For this case we have a number x
The opposite is given by -x
And the product should be:
x
x*(-x) =-x^2
For the case x=0 we can see that is not true
Then the answer is:
False
Select all of the properties that apply to all squares and all rhombus.
Square and rhombus have
4 equivalent sides
4 angles
2 pair of congruent sides
2 pair of parallel sides
Jun 05, 10:22:25 PMWatch help videoGiven the matrices A and B shown below, find A + B.43.3.A =5-5 – 27-3 4.4 2B4 132.
Given 2 matrix A and B, A+B means the sum of the matrices. The sum of two matrices can be done by summing each element of the first matrix to the corresponding element of the secont matrix. So:
[tex]\begin{bmatrix}{-4} & {-5} & {-2} \\ {5} & {-3} & {4} \\ {-5} & {4} & {2}\end{bmatrix}+\begin{bmatrix}{3} & {3} & {-1} \\ {-4} & {1} & {3} \\ {5} & {4} & {2}\end{bmatrix}=\begin{bmatrix}{-4+3} & {-5+3} & {-2-1} \\ {5-4} & {-3+1} & {4+3} \\ {-5+5} & {4+4} & {2+2}\end{bmatrix}=\begin{bmatrix}{-1} & {-2} & {-3} \\ {1} & {-2} & {7} \\ {0} & {8} & {4}\end{bmatrix}[/tex]42,133,285,612 in scientific notation (round to two digts after the decimal)
To do this, move the decimal in such a way that there is a non-zero digit to the left of the decimal point. The number of decimal places you shift will be the exponent by 10. If the decimal is shifted to the right the exponent will be negative. If the decimal is shifted to the left, the exponent will be positive. So,
Then as the point moved 10 places to the left you have
[tex]4.21\times10^{10}[/tex]is countinous graph constant?
That is the question?
I think i need to picture of the graph
From G to K the graph increases and then decreases
Sam paid $55 for an hour of tutoring on Mondays and $95 for two hours on Tuesday. The hourly rate is $ per hour.The initial fee is $ .
To find the hourly rate, we can subtract the cost of two hours by the cost of one hour:
[tex]m=95-55=40[/tex]So the hourly rate is $40.
Then, to find the initial fee, we subtract the cost of one hour by the hourly rate:
[tex]b=55-40=15[/tex]So the initial fee is $15.
A regular polygon is a shape with all sides equal in length. Which of these is
an irregular polygon?
Answer:
d
Step-by-step explanation:
because it is a trapezoid so, the angles and sides don’t equal in length please mark brainliest hopes this helps
Answer:
Option D.
Question:
A regular polygon is a shape with all sides equal in length. Which of these is an irregular polygon?
Explanation:
Regular polygons have all sides equal. Then an irregular polygon doesn't have equal sides.
Which of them doesn't have equal sides?
Option D.