Step-by-step explanation:
Principal:- $5000
Rate= 8%
Time = 9 years
Interest = P×R×T/100
= 500×8×9/100
= 5×8×9
= 40×9
= 360
Hence, Interest = $360.
if it helps don't forget to like and mark me
You bought 7 raffle tickets. A total of 1302 raffle tickets were sold. If every raffle ticket has an equal chance at winning, what is your probability of not winning?
Answer:
the probability of not winning is 0.9946
Step-by-step explanation:
The computation of the probability of not winning is shown below:
The Probability of winning is
= 7 ÷ 1302
So, the probability of not winning is
= 1 - 7 ÷ 1302
= (1302 - 7) ÷ 1302
= 1295 ÷ 1302
= 165 ÷ 186
= 0.9946
Hence, the probability of not winning is 0.9946
The same is considered
Determine the equation of the line. (slope intercept form)
Answer:
y=x-4
Step-by-step explanation:
y=mx+b
m : slope : 1
b : y-int : -4
N artist makes three types of ceramic statues (large, medium, and small) at a monthly cost of $760 for 210 statues. The manufacturing costs for the three types are $5, $4, and $3. If the statues sell for $26, $18, and $15, respectively, how many of each type should be made to produce $3,640 in monthly revenue?
Answer:
20, 90 and 100
Step-by-step explanation:
Total number of statues = 210
Assuming that a large statue = x, medium statue = y and a small statue = z
Then, x + y + z = 210........i
Also, we're told that the monthly cost is $760, so
5x + 4y + 3z = 760.........ii
Cost of selling is $3640, so then
26x + 18y + 15z = 3640.........iii
Solving i and ii simultaneously, we have
5x + 5y + 5z = 1050
5x + 4y + 3z = 760
Subtracting, we have
y + 2z = 290.........iv
Again, solving ii and iii simultaneously, we have
130x + 104y + 78z = 19760
130x + 90y + 75z = 18200
On subtracting, we have
14y + 3z = 1560.........v
And finally, solving iv and v simultaneously, we also have
14y + 28z = 4060
14y + 3z = 1560
On subtracting,
25z = 2500
z = 2500 / 25
z = 100
Substituting for z = 100 in iv, we have
y + 2(100) = 290
y + 200 = 290
y = 290 - 200
y = 90
Substituting for y = 90, and z = 100 in i
x + 90 + 100 = 210
x + 190 = 210
x = 210 - 190
x = 20
Therefore, large statues has to be 20, medium statues has to be 90, and small statues has to be 100
PLISSSSSSSSSSS HELPPPPPPP..............................
Answer:
it would be 9 cause with start counting the 7- to 2 its gonna be nine
Step-by-step explanation:
f(x) = 3 x e^2x
That's the problem
Answer:
6 e (*2)x
Step-by-step explanation:
i hope this helps and the 2 is a square unit
Answer:
y = 0
Step by step explanition:
What is the measure of angle C
Answer:
41
Step-by-step explanation:
In order to find the measure of angle C we must find the value of x
Remember the measures of the angles in a triangle add up to equal 180
that being said we use this equation to solve for x
180 = (sum of angles) 63 + 2x + 8 + x + 7
now we solve
step 1 combine like terms
63 + 7 + 8 = 78
2x + x = 3x
now we have 180 = 78 + 3x
step 2 subtract 78 from each side
180 - 78 = 102
78 - 78 cancels out
now we have 102 = 3x
step 3 divide each side by 3x
102/3=34
3x/3=x
we're left with x = 34
Now to find the measure of angle C
We plug in the value of x in the expression (x + 7)
so c = 34 + 7
34 + 7 = 41
therefore your answer is 41
BRAINLIEST!!!! PLZZZZ SEE BELOW!!!
Answer:
b. 0.25
Step-by-step explanation:
40 + 120 = 160
40 / 160
Tell whether x and y show direct variation, inverse variation, or neither.
y-3 = 22
the variables show: (inverse variation, direct variation, or neither)
Answer:
thWhat is c hw wrin hd dont know if I know what x is to find the answer
which expressions are equivalent to the one below? Check all that apply.
[tex]8^x[/tex]
A. x^4
B. 8 * 8^x+1
C. (32/4)^x
D. 8 * 8^x-1
E. 32^x/4^x
F. 32^x/4
AP_EX - Algebra II
Answer:
The right answers are C, D and E
Julius is at point A He moves 3 units to the left and 2 units down from his
location and picks up a baill What are the coordinates of the points from where
he picked up the ball?
Answer:
(8, 10)
Step-by-step explanation:
He is at (11, 12). He moves three to the left, so 11 - 3 = 8. He then moves two down. 12 - 2 = 10. Therefore, he is at point (8, 10).
Solve the question in the picture below. Thank you.
Answer:
8 units
Step-by-step explanation:
Find the distance along the y-axis. For the example points (3,2) and (7,8), in which (3,2) is Point 1 and (7,8) is Point 2: (y2 - y1) = 8 - 2 = 6. This means that there are six units of distance on the y-axis between these two points. Find the distance along the x-axis. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
Please help! Describe how the variables in the given equation are related.[tex]p=\frac{kqrt}{s}[/tex]
9514 1404 393
Answer:
p is proportional to q, r, t, and inversely proportional to s
Step-by-step explanation:
Assuming k is a "constant of proportionality," the value of p is directly proportional to each of the numerator variables: q, r, t. P is inversely proportional to the denominator variable, s.
9 less than 4 times a number equals 15
Answer:
if you wanted it in equation form the it'll be : 9 < 4 x n = 15
~ i hope this has helped you out, have a gr8 day/night my friend!~
Step-by-step explanation:
Answer:
Six / 6
Step-by-step explanation:
Fifteen less than 4 times a number is 9, meaning we have to find the number.
Let the required number be x
4 times the number = 4x
15 less than 4 times the number = 4x-15
⇒ 4x – 15 = 9
⇒ 4x = 9 + 15
⇒ 4x = 24
⇒ x = 6
meaning the number is 6.
Hope this helps!
Ellane plan to interview some applications for positions in her office she scheduled a 1/4 of an hour to meet each of them how much time did she schedule for all six appliances
Answer:
1 1/2 hours
Step-by-step explanation:
To determine the time she would spend on 6 applicants, multiply the time she spends on each applicant by the total number of applicants
1/4 x 6 = 6/4 = 1 2/4 hours
to convert to its simplest form, divide both numerator and denominator by 2. this gives 1 1/2 hours
Another method
Add 1/4 six times
1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 6/4 = 1 2/4 = 1 1/2 hours
54x x 654v = 43695v solve for v
Manuel incorrectly claimed that the surface area of the cylinder
shown is about 621.7 in.. Use a formula to find the surface area of the cylinder.
Use 3.14 for it. What was his likely error?
11 in
The surface area of the cylinder is about
(Round to the nearest tenth as needed.)
Answer:
25.9%
Step-by-step explanation:
Since, the actual dimensions of the cylinder is not given we can assume the some dimension to explain the problem
Let us assume the dimension of the cylinder be
radius= 3in
height= 5 in
The expression for the total surface area of a cylinder is
T. S. A. =2πrh+2πr^2
Let us plug in the values to to find TSA
T. S. A. =2×3.14×3×5+2×3.14×3^2
Solving we get
T. S. A. =94.26+56.556
T. S. A. =150.816 in^2
Now let us find the error
we know that error % is calculated as
%error= [actual value-expected value/expected value]×100
%error= [190 -150.816/150.816]×100
%error= [39.184/150.816]×100
%error= 0.259×100
%error= 25.9%
Question 8 of 11
Which type of force is a noncontact force?
A. Buoyancy
B. Air resistance
C. Any fundamental force
D. Any normal force
SUBMIT
a) 5√160=
b) √245=
c) 3√72=
d) √50=
e) √18=
e) 4√243=
f) 3√576 =
g) √300=
Answer:
a) 20[tex]\sqrt{35}[/tex]
b) 7[tex]\sqrt{5}[/tex]
c) 18[tex]\sqrt{2}[/tex]
d) 5[tex]\sqrt{2}[/tex]
e) 36[tex]\sqrt{3}[/tex]
f) 72
g) 10[tex]\sqrt{3}[/tex]
Step-by-step explanation:
You Try: Solve for x and y by using elimination. 4x + y = 7 4x - 2y = -2
Answer:
[tex]\boxed {\boxed {\sf (1, 3) \ or \ x=1 \ and \ y=3}}}[/tex]
Step-by-step explanation:
We are given this system of equations:
[tex]4x+y=7\\4x-2y=-2[/tex]
We use elimination to solve to eliminate one of the variables, so we only have to work with one at a time. We do this by adding and subtracting the equations, and sometimes multiplying the entire equation by a number.
Notice how both equations have a 4x. This means they can easily be eliminated, without multiplying the equations by another number first. Let's subtract the 2 equations.
[tex]\ \ \ 4x+y=7\\ -(4x-2y)=-2[/tex]
The 4x will cancel because 4x-4x=0.
[tex]\ \ \ \ y=7 \\ - (-2y) = -2[/tex]
Since there are back to back negative signs, they become addition signs.
[tex]\ \ \ \ y=7 \\+2y=2[/tex]
[tex]3y=9[/tex]
We are solving for y , so we must isolate the variable. It is being multiplied by 3 and the inverse of multiplication is division. Divide both sides by 3.
[tex]3y/3=9/3\\y=3[/tex]
Now we can substitute 3 in for y in the original equations. Let's use the first one.
[tex]4x+y=7\\4x+3=7[/tex]
3 is being added to 4x. The inverse of addition is subtraction. Subtract 3 from both sides.
[tex]4x+3-3=7-3\\4x=4\\[/tex]
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
[tex]4x/4=4/4\\x=1[/tex]
x is equal to 1 and y is equal to 3. Coordinate points are written as (x, y). The solution to this system of equations is (1, 3).
Hi if you answer please explain how you got the answer thanks! :)
Answer:
B: 60,000
Step-by-step explanation:
Since there was a total of 200,000 votes, we can create this equation, since we also know the ratio between the two candidates:
7x + 3x = 200,000
x can be seen as a common factor between the two candidates that can be used to express their difference
We can now further simplify this equation by combining like terms and solving for x:
10x = 200,000
x = 200,000/10
x = 20,000
Now, to find the total number of votes cast for Bob Tanks, we multiply x by 3, since it says that Julie Sanders won by a ratio of 7:3, which means she had 7 in the ratio and Bob had the 3.
3x = 3(20,000) = 60,000
The answer is B: 60,000.
Answer: 60,000
Step-by-step explanation:
The easiest way to solve this problem is to use equations
Since we know the ratio of Julie's votes to Bob's votes is 7:3 and the total is 200,000 we can use this equation 200,000 (number of votes) = 7x(Julie's votes) + 3x(Bob's votes)
After you solve it you get x=20,000
Then,
You put that back into Bob's votes and you get 60,00
Hope this helps :)
Help and Plz make sure it’s right
Answer:
8.6
Step-by-step explanation:
Use the pythagorean therom for this
(5.9)^2 + (6.3)^2 = c
c= 74.5
square root of 74.5 is 8.631 or 8.6
hope this helps
Solve For X
5X + 30 = 110
Answer:
Your answer would be:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]5x + 30 = 110[/tex]
[tex]5x + 30 - 30 = - 30[/tex]
[tex]5x = 80[/tex]
[tex]x = 16[/tex]
Hope this helped! UwU
In ΔDEF, the measure of ∠F=90°, FD = 3.3 feet, and DE = 3.9 feet. Find the measure of ∠D to the nearest degree
Answer:
the awnser is 30 degrees
Step-by-step explanation:
You have to look at your d ruler between different angles
For brainiest :):):):):):)):):):)
Answer:
9) 0.46
10) 0.666
11) 18%
12) 2.3%
13) 0.7/ 70%
14) 0.56/ 56%
15) 0.0035/ 0.35%
16) 1.13/113%
Step-by-step explanation:
Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
No
Step-by-step explanation:
None of the angles in the two triangles match, so it is impossible for them to be congruent.
There are 90 students in the school band. 40% of them are sixth graders. How many band members are sixth graders?
Answer:
36
Step-by-step explanation:
.4 x 90
Answer:
36
Step-by-step explanation:
40/100 = x/90
100x div 100 3600div 100
x = 36
Which expression is equivalent to `7+10x+x-3?`
What is the volume of a sphere with a diameter of 4.9 cm, rounded to the nearest
tenth of a cubic centimeter?
Answer:
492.87cm^3
Step-by-step explanation:
Given data
Diameter= 4.9cm
The expression for the volume is
V= 4/3 πr^3
Substitute
V= 4/3*3.142*4.9^3
V= 4/3*3.142*117.649
V=1478.612632 /3
V=492.87 cm^3
Hence the volume is 492.87cm^3
A statue of George Washington is also in Druid Hill Park. If a girl stands 15 m away from the statue, and places a mirror 12 m from the statue (3 m from her feet), she can see the top of the statue in the mirror. The girl's height is 5.5 ft. How tall is the statue?
Answer:
The statue is 22ft tall.
Step-by-step explanation:
Here we will have two similar triangle rectangles.
One is made between the girl's feet, the mirror, and the girl's eyes.
So in this case the catheti are:
the distance between the girl and the mirror (3 m) and the height of the girl (5.5 ft)
The other triangle rectangle has the vertices:
The mirror, the base of the statue, and the top of the statue.
Such that the catheti of this triangle are the distance between the base of the statue and the mirror (12m) and the height of the statue (we want to know this, let's call this X for the moment).
Because the triangles are similar, this means that there is a proportionality constant between each correspondent side, let's call this k.
Then the distance between the girl and the mirror must be k times the distance between the base of the statue and the mirror:
3m = k*12m
And the height of the girl must be k times the height of the statue.
5.5ft = k*X
You can see that we have different units, this does not matter because k is a dimensionless constant.
With the first equation we can find the value of k
3m = k*12m
3m/12m = k
(3/12) = 1/4 = k
Now we can replace this in the other equation to get:
5.5ft = (1/4)*X
Solving this for X we get:
(5.5ft)*4 = X
22ft = X
The height of the statue is 22ft.
Can someone help me plzzz and thank you
Answer:
Yes SAS
Step-by-step explanation:
2 sides are the same
1 90 degree angle for each triangle
Hence the Answer Side-Angle-Side
