A company borrows $50,000 for 8 years at a simple interest rate of 13.5%. Find the interest paid on the loan and the total amount paid
The interest paid on the loan is $
The total amount paid is $
Answer:
13.5%×50000=6750
this is interest paid on loan 6750
50000+6750=56750
The total amount paid
A triangle has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and
(3m - 9) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?
Answer:
-6m and -6k
Step-by-step explanation:
(5k - 7) = -2k (k - 4) = -4k + -2k = -6k. (3m - 9) = -6m.
Expression 6k + 3m - 20 represents the perimeter, in centimeters, of the triangle which has side lengths of (5k - 7) centimeters, (k - 4) centimeters, and (3m - 9) centimeters.
1st side length = 5k - 7 centimeters
2nd side length = k - 4 centimeters
3rd side length = 3m - 9 centimeters
Now, the perimeter of a triangle is the sum of its three sides.
So, the expression representing the perimeter of the triangle would be the sum of these side lengths:
Perimeter = (5k - 7) + (k - 4) + (3m - 9)
Further, simplifying the expression by combining like terms:
Perimeter = 5k + k + 3m - 7 - 4 - 9
Perimeter = 6k + 3m - 20
So, the expression that represents the perimeter of the triangle is (6k + 3m - 20) centimeters.
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plssssssssssss answer for brainiest
Answer:
E = 120
F = 60
G = 120
H = 60
Step-by-step explanation:
The profit at a chocolate shop can be represented using the function f(x)=3x−95, where x is the number of chocolate truffles sold each day. What is the slope and what does it represent?
Can someone explain how to do this.
!PLEASE ANSWER ASAP! THANK YOU IN ADVANCE!
mrs. piggiewinkle knows how to use texting, instant messenger, emailing, calling, and mailing letters to communicate with her students. she must select 2 methods of communication out of the 5 to send her students an important message. in how many ways can choose the communication methods?
Answer:
Step-by-step explanation:
She must write an email to the new employees explaining how to access documents that need editing and what to do with new versions of the documents.
Answer: 20 ways
Step-by-step explanation: I believe that you would need to use permutation, so:
5P2 = 20
The side of an equilateral triangle is 12. Its area is
Select one:
a. 72
b. 48
c. 144
d. 36 square root 3
A≈62.35
..................
7.
V= lwh for w
What’s the explanation
Answer:
w=[tex]\frac{V}{lh}[/tex]
Step-by-step explanation:
just divide lh from both sides
Find the solution to the system of equations.
You can use the interactive graph below to find the solution
- 72 - 2y = 14
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са
6x + 6y = 18
AS
y =
JO
y
7
AS
6
5
4
3
2
Со
+2
1 2 3 4 5 6 7
-7-6-5-4-3-2
SA
Pro
Do noble
9514 1404 393
Answer:
x = -4y = 7Step-by-step explanation:
It looks like your interactive graphing tool needs you to plot some points on each of the lines. For these lines, it is convenient to use the x- and y-intercepts. Each intercept can be found by dividing the constant by the coefficient of the variable.
-7x -2y = 14
The x-intercept is 14/-7 = -2. Plot (-2, 0) on the x-axis.
The y-intercept is 14/-2 = -7. Plot (0, -7) on the y-axis.
6x +6y = 18
The x-intercept is 18/6 = 3. Plot (3, 0) on the x-axis.
The y-intercept is 18/6 = 3. Plot (0, 3) on the y-axis.
__
The point of intersection of the two lines is the solution: (x, y) = (-4, 7).
what is the domain and range?
. At a certain airport, 75% of the flights arrive on time. A sample of 10 flights is studied. a. Find the probability that all 10 of the flights were on time.
Answer:
0.5256
Step-by-step explanation:
X ~ B(10,0.75)
q = 1 - 0.75 = 0.25
Find x, y, and z such that x³+y³+z³
Answer:
x= -y-z
y= -x-z
z= -x-y
i think this is it
Answer:
complete the question pls
Step-by-step explanation:
Name one problem-solving strategy and briefly describe how it can help you as a problem-solver.?
Answer:
Trial and error
Step-by-step explanation:
It can help you by testing mulitple solutions to decleare which one is best.
round to the nearest hundred 104,549 help 6th
grade
Help help help help help help help help help
Answer:
(-1,1)
Step-by-step explanation:
Im pretty sure the answer to A'' would be the inverse of A, as the triangle was mirrored on the opposite quadrant of the graph. (The inverse or opposite of (1,-1) would be (-1,1) ).
Hope this helped!
Like always, I need help :(
Answer:
The equation of the line is: x = 0
Rope that is cut 3/4 in length is cut into 2 pieces how long is each piece
The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend.
"Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle.
"The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge."
Tim forgot to refuel the vehicle when he returned it. His Check-Out sheet indicates that the vehicle had about 1/2 of a tank left. The tanks is now nearly empty.
If it takes 11.75 gallons of gas to refuel the car Tim rented, how much extra should he expect to pay because he forgot to get gas?
a.
$26.44
b.
$31.44
c.
$52.88
d.
$57.88
Answer: D
Step-by-step explanation:
Tim should expect to pay an extra $52.88 because he forgot to refuel the car. option D is correct.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The car that Tim rented needed 11.75 gallons of gas to refill to the same fuel level as indicated on the Check-Out sheet.
Since the rental agency charges $4.50 per gallon of gas plus a $5.00 refueling charge, the cost of refueling the car will be:
11.75 gallons x $4.50/gallon + $5.00
= $57.88
Therefore, Tim should expect to pay an extra $57.88 because he forgot to refuel the car. The correct answer is (d).
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Simplify the linear expression.
−5/3a+1/8−1/6a−1/2
Enter your answer as simplified fractions in the boxes.
PLEASE HELP
Find the measure of each interior angle of a polygon having 9 sides
Answer:
Sum of the interior angles = 1260°.
Step-by-step explanation:
Sum of the interior angles = (n - 2)180° where n= number of sides
Sum of the interior angles = (9-2)180
Sum of the interior angles = 1260°
What does cross-sectional mean
Answer:
exposed by making a straight cut through a solid form, especially at right angles to an axis.
"the cross-sectional area of the wood"
or
constituting a typical or representative sample of a larger group.
"a cross-sectional survey of high school students"
ig
Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 4 and b = 5. Use a calculator to estimate the
square root to one decimal place.
answer:
6.4
Step-by-step explanation:
4^2+5^2=c^2
16+25
square root of 41
c^2=6.4
2/7 converted into a decimal then rounded to 3 decimal places.
Answer:
0.286
Step-by-step explanation:
Plsss helppppppp tyyyysmmmm
Answer:
Step-by-step explanation:
x = 180 - 117 = 63°
y = 360 - 63 - 86 - 98 = 113°
Sum of angles along a line about a point on the line is 180°
Sum of internal angles on a quadrilateral is 360°
Find the line integral along the curve C from the origin along the x-axis to the point (6, 0) and then counterclockwise around the circumference of the circle x2 y2
Parameterize C by the two vector functions,
r(t) = (1 - t) (0, 0) + t (6, 0) = (6t, 0)
with 0 ≤ t ≤ 1, and
s(t) = (6 cos(t), 6 sin(t))
with 0 ≤ t ≤ π/2.
Then the line integral over C is equal to the sum of the line integrals over each path:
[tex]\displaystyle \int_C dS = \int_0^1 \|r'(t)\| \, dt + \int_0^{\frac{\pi}2} \|s'(t)\| \, dt[/tex]
[tex]\displaystyle \int_C dS = \int_0^1 \sqrt{6^2 + 0^2} \, dt + \int_0^{\frac{\pi}2} \sqrt{(-6\sin(t))^2 + (6\cos(t))^2} \, dt[/tex]
[tex]\displaystyle \int_C dS = 6 \int_0^1 dt + 6 \int_0^{\frac{\pi}2} dt[/tex]
[tex]\displaystyle \int_C dS = 6 + \frac{6\pi}2 = \boxed{6+3\pi}[/tex]
Can someone please walk me through these 2 problems? I'm using the formula that the problem states but I have to be going wrong somewhere because all of my answers have been incorrect. The correct answers are below, but I have no idea how to get to them.
35: -13 - 34j volts
37: 28 + 57j volts
[tex]\boxed{35}~~ \begin{cases} I=2-7j\\ Z=4-3j \end{cases}\implies E=(2-7j)(4-3j) \\\\\\ \begin{array}{rllll} 4-3j\\ \times ~\hfill 2\\[-0.5em] \hrulefill\\ 8-6j \end{array}~~+ ~~ \begin{array}{rllll} 4-3j\\ \times ~\hfill -7j\\[-0.5em] \hrulefill\\ -28j+21j^2 \end{array}\qquad \implies 8-6j-28j+21j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=21j^2-34j+8~\hfill[/tex]
[tex]\boxed{36}~~ \begin{cases} I=3+10j\\ Z=6-j \end{cases}\implies E=(3+10j)(6-j) \\\\\\ \begin{array}{rllll} 6-j\\ \times ~\hfill 3\\[-0.5em] \hrulefill\\ 18-3j \end{array}~~+ ~~ \begin{array}{rllll} 6-j\\ \times ~\hfill 10j\\[-0.5em] \hrulefill\\ 60j-10j^2 \end{array}\qquad \implies 18-3j+60j-10j^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill E=-10j^2+57j+18~\hfill[/tex]
A water tank has volume of 300 m3. If the length and width of the tank is 5 m and 300 cm, find the height of the tank.
Answer:
volume=300m3
length=5m
width=300cm=300/100=3m
To find: height of tank .
so,
volume=l×b×h
300=5×3×h
300/15=h
finally,h=20m
The sum of the speed of two trains is 725.6miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train find the speeds of each
Step-by-step explanation:
change it in meter and solve it
Determine the x-intercept for 3x + 2y = 14,
A)
(7,0)
B)
(0,7)
C)
2,0)
D)
(0,14
Answer:
X-intercept: [tex](\frac{14}{3}, 0)[/tex].
Y-intercept: (0, 7) ⇒ Option B.
Step-by-step explanation:
I'm not certain whether the question asks for either the x-intercept or the y-intercept, but I will provide the answers for both since none of the given options matches the coordinates of the x-intercept.
X-intercept:The x-intercept is the point on the graph where it crosses the x-axis, with coordinates of (a, 0). The x-intercept is the value of x when y = 0.
Given the linear equation in standard form, 3x + 2y = 14, set y = 0 to solve for the x-intercept:
3x + 2y = 14
3x + 2(0) = 14
3x + 0 = 14
3x = 14
Divide both sides by 3 to solve for x:
[tex]\frac{3x}{3} = \frac{14}{3}[/tex]
[tex]x = \frac{14}{3}[/tex]
Therefore, the x-intercept is [tex](\frac{14}{3}, 0)[/tex]. None of the given option matches the value of the x-intercept.
Y-intercept:The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is the value of y when x = 0.
Set x = 0, and substitute into the given equation.
3x + 2y = 14
3(0) + 2y = 14
0 + 2y = 14
2y = 14
Divide both sides by 2 to solve for y:
[tex]\frac{2y}{2} = \frac{14}{2}[/tex]
y = 7
Therefore, the y-intercept is (0, 7), which matches Option B.
The city commission would like to install new flagpoles that are each 15 yards tall. If there are 3 feet in 1
yard, how tall are the flagpoles in the model?
Each square below represents one whole …. What percent is represented by the shaded area?
Answer:
50%
Step-by-step explanation:
The diagonal line divides the square in half
I hope this help you