Answer:
529.41
Step-by-step explanation:
From the above question, we are to find the Principal
The formula to find the Principal (Initial amount invested) is =
P = A / (1 + rt)
Where
A = Amount paid after t years. = 720
r = rate of interest = 6% = 0.06
t = time in years = 6
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year.
Solving our equation:
P = 720 / ( 1 + (0.06 × 6)) = 529.41176470588
Approximately
P = 529.41
Therefore, Kaitlyn's brother borrowed 529.41 for school
I need help thank you
Answer:
16n + 41
Step-by-step explanation:
2(-n - 3) - 7(5 + 2n) (Given)
-2n - 6 - 35 - 14n (Distribute)
-16n - 41 (Add like terms)
16n + 41 (Divide by a factor of -1)
Answer:
B. -16n - 41
Step-by-step explanation:
Use the distributive property:
2(-n - 3) - 7(5 + 2n)
-2n - 6 - 35 - 14n
Combine like terms:
(-2n - 14n) + (-6 - 35)
-16n - 41
Solve 2(4/x+8)=18
Side note: 4/X is supposed to be a fraction
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Divide by 2, subtract 8 ...
2(4/x +8) = 18
4/x +8 = 9
4/x = 1
4 = x . . . . . multiply by x
Answer:
4/x+8=18/2
4/x+8=9
4/x=9-8
4/x=1
4=1x
x=4
PLZZZZZ HELPPP ME!!!!
PLEASE HELP FAST!!!!!
Answer:
The solution of the system of equations be:
[tex]x=8,\:y=4[/tex]
Hence, option C is true.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}4x+7y=60\\ -4x+7y=-4\end{bmatrix}[/tex]
adding both the equations
[tex]-4x+7y=-4[/tex]
[tex]+[/tex]
[tex]\underline{4x+7y=60}[/tex]
[tex]14y=56[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}4x+7y=60\\ 14y=56\end{bmatrix}[/tex]
solve 14y for y
[tex]14y=56[/tex]
Divide both sides by 14
[tex]\frac{14y}{14}=\frac{56}{14}[/tex]
Simplify
[tex]y=4[/tex]
[tex]\mathrm{For\:}4x+7y=60\mathrm{\:plug\:in\:}y=4[/tex]
[tex]4x+7\cdot \:4=60[/tex]
[tex]4x+28=60[/tex]
Subtract 28 from both sides
[tex]4x+28-28=60-28[/tex]
Simplify
[tex]4x=32[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}=\frac{32}{4}[/tex]
[tex]x=8[/tex]
Therefore, the solution of the system of equations be:
[tex]x=8,\:y=4[/tex]
Hence, option C is true.
what is the answer to the question?
Answer:
Given : PQ = RQ
to find : angle B
PQ = RQAngle B = angle QRP ( angle opposite to equal side are equal). ...(1)angle QRP + 140° = 180° ( linear pair)angle QRP = 180° - 140°angle QRP = 40°from equation (1) Angle B = angle QRP = 40°Answer:
b=40
Step-by-step explanation:
PQ=RQ
That means both sides are the same length which also means they both have the same angel measure of 140.
A super easy way to solve this would be to realize that where p is, the angel is 140.
A straight line is 180.
b and 140 are supplementary angels. [which means they equal 180]
To find b you can make an equation.
b+140=180
or
180-140=b
I'll show you both.
First one you would subtract 140 on both sides to get the variable alone, leaving you with b=40.
For the second one, you just do 180-140 and it also equals 40.
Either way it leaves you with b=40
If you need any more help with angels and whatnot, don't be afraid to reach out. I hope that helps! <3
Ronin draws a square with a measure of (x + 2) inches on each side. The perimeter of his square is 96 inches. The equation below represents the perimeter of the square.
4 (x + 2) = 96
What is the value of x?
16
22
24
26
There were 239 people at a Travis Scott concert. Admission to the drive-in concert was $15 for adults and $5.50 for children. The total cost was $2758.50.
Answer:
239 people 15$adults 5.50$ for kids
Step-by-step explanation:
Please help (geometry)
best answer gets the brainiest thing everyone’s obsessed with for some reason
Answer:
The statement BI = BK is true from the given information ⇒ B
Step-by-step explanation:
If a line is a perpendicular bisector of a line segment, then
The line intersects the line segment in 4 right anglesThe line intersects the line segment in the mid-point of the line segmentAny point on the line is equidistant from the endpoints of the line segmentLet us find the true statement
∵ Line AB is the perpendicular bisector of segment IK
→ By using the 1st note above
∴ AB ⊥ IK
∴ ∠IJA, ∠KJA, ∠IJB, ∠KJB are right angles
→ By using the 2nd note above
∴ J is the mid-point of IK
∴ IJ = JK
∵ Any point on line AB is equidistant from The endpoints of IK ⇒ 3rd note
∴ AI = AK
∴ BI = BK
∴ The statement BI = BK is true from the given information
PLZZ HELP ASAP MARKING BRAINLIEST
difference in order percents in order
30 33%
120 100%
25 50%
9 8%
Solve the equation for the variable numerically using a
model and algebraically using inverse operations.
3x + 8 = 44
Show your work using the sketch feature and input your
solution below.
Answer:
x= 12
Step-by-step explanation
3x+8=44
subtract 8 from both sides: 3x+8= 44
-8 -8
3x=36
then divide by 3 on both sides
3x=36
3 3
which leaves : x=12
my explaining is horrible but i hope this helps
Please help me with this question?
Identify the function that reflects f(x) = 14x3 − 7x2 + 6 across the y-axis and shifts it 6 units up.
Answer:
Step-by-step explanation:
-14x^{3}-7x^{2}+12
30( 4p + 6c+ 12p + 40)
What property can be used to simplify the expressions
Answer: Distributive Property
30(4p+6c+12p+40)
=(30)(4p+6c+12p+40)
=(30)(4p)+(30)(6c)+(30)(12p)+(30)(40)
=120p+180c+360p+1200
=180c+480p+1200
Step-by-step explanation: Hope this help
The company receptionist receives about 20 calls every 45 minutes. How many calls can she expect in 180 minutes?
Step-by-step explanation:
approx 63 calls in 180 min :)
#shadow
Answer:- 180minutes means 80 calls
serious help!!!! please!
Answer:
im 99.99999% sure its c
Step-by-step explanation:
find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculate the next value.Round your final answer to the nearest 10
Sin(α)=opposite leg/hypotenuse
Sin(63°)=ya/35
ya=35xSin(63°)
ya=31.2
Area(a)= (15.9x31.2)/2
Area(a)=248.0
Now, we proceed to find the area of "b". We already have the length x=15.9, so:
Tan(α)=opposite leg/adjacent leg
yb=15.90xTan(42°)
yb=14.3
Area(b)=15.9X14.3/2
Area(b)=113.7
The total Area (At) is:
At=Area(a)+Area(b)
At=248.0+113.7
At=361.7
10) Triangle "a":
-Adjacent leg of the triangle "a":
Cos(α)=adjacent leg/hypotenuse
Cos(30°)=xa/48
xa=48xCos(30°)
xa=41.6
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(30°)=y/48
y=48xSin(30°)
y=24.0
-Area of the triangle "a":
Area(a)=41.6x24.0/2
Area(a)=499.2
Triangle "b":
-We have the value of i(y=24).
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(45°)=24/xb
xb=24/Tan(45°)
xb=24
-Area of the triangle "b":
Area(b)= 24x24/2
Area(b)=288
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=499.2+288
At=787.2
11) To find the area of the triangle shown in this exercise, we have to apply the same procedure as in exercise 10:
-Adjacent leg of the triangle "a":
Cos(α) = adjacent leg/hypotenuse
Cos(56°)=xa/14
xa=14xCos(56°)
xa=7.8
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(56°)=y/14
y=14xSin(56°)
y=11.6
-Area of the triangle "a":
Area(a)=7.8x11.6/2
Area(a)=45.2
Triangle "b":
-The value of its opposite leg is y=11.6.
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(46°)=11.6/xb
xb=11.6/Tan(46°)
xb=11.2
-Area of the triangle "b":
Area(b)= 11.6x11.2/2
Area(b)=65.0
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=45.2+65.0
At=110.2
12)-Adjacent leg of the triangle "a":
Cos(α)=adjacent leg/hypotenuse
Cos(54°)=xa/13
xa=13xCos(54°)
xa=7.6
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(54°)=y/13
y=13xSin(54°)
y=10.5
-Area of the triangle "a":
Area(a)=7.6x10.5/2
Area(a)=39.9
Triangle "b":
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(42°)=7.6/xb
xb=7.6/Tan(42°)
xb=8.4
-Area of the triangle "b":
Area(b)=7.6x8.4/2
Area(b)=31.9
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=39.9+31.9
At=71.8First, it is important to remember that the formula to calculate the area of a triangle is: A=bxh/2
As we can see in the exercises, all the triangles are divided in two triangles. So, let's call "a" to the triangle on the left and "b" to the triangle on the right.
9)To find the area of the triangle "a", we need the lenght of the adjacent leg (x) and the opposite leg (ya):
Cos(α)=adjacent leg/hypotenuse
Cos(63°)=x/35
x=35xCos(63°)
x=15.9
Sin(α)=opposite leg/hypotenuse
Sin(63°)=ya/35
ya=35xSin(63°)
ya=31.2
Area(a)= (15.9x31.2)/2
Area(a)=248.0
Now, we proceed to find the area of "b". We already have the length x=15.9, so:
Tan(α)=opposite leg/adjacent leg
yb=15.90xTan(42°)
yb=14.3
Area(b)=15.9X14.3/2
Area(b)=113.7
The total Area (At) is:
At=Area(a)+Area(b)
At=248.0+113.7
At=361.7
10) Triangle "a":
-Adjacent leg of the triangle "a":
Cos(α)=adjacent leg/hypotenuse
Cos(30°)=xa/48
xa=48xCos(30°)
xa=41.6
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(30°)=y/48
y=48xSin(30°)
y=24.0
-Area of the triangle "a":
Area(a)=41.6x24.0/2
Area(a)=499.2
Triangle "b":
-We have the value of i(y=24).
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(45°)=24/xb
xb=24/Tan(45°)
xb=24
-Area of the triangle "b":
Area(b)= 24x24/2
Area(b)=288
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=499.2+288
At=787.2
11) To find the area of the triangle shown in this exercise, we have to apply the same procedure as in exercise 10:
-Adjacent leg of the triangle "a":
Cos(α) = adjacent leg/hypotenuse
Cos(56°)=xa/14
xa=14xCos(56°)
xa=7.8
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(56°)=y/14
y=14xSin(56°)
y=11.6
-Area of the triangle "a":
Area(a)=7.8x11.6/2
Area(a)=45.2
Triangle "b":
-The value of its opposite leg is y=11.6.
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(46°)=11.6/xb
xb=11.6/Tan(46°)
xb=11.2
-Area of the triangle "b":
Area(b)= 11.6x11.2/2
Area(b)=65.0
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=45.2+65.0
At=110.2
12)-Adjacent leg of the triangle "a":
Cos(α)=adjacent leg/hypotenuse
Cos(54°)=xa/13
xa=13xCos(54°)
xa=7.6
-Opposite leg of the triangle "a":
Sin(α)=opposite leg/hypotenuse
Sin(54°)=y/13
y=13xSin(54°)
y=10.5
-Area of the triangle "a":
Area(a)=7.6x10.5/2
Area(a)=39.9
Triangle "b":
-Adjacent leg of the triangle "b":
Tan(α)=opposite leg/adjacent leg
Tan(42°)=7.6/xb
xb=7.6/Tan(42°)
xb=8.4
-Area of the triangle "b":
Area(b)=7.6x8.4/2
Area(b)=31.9
-Total area of the triangle (At) is:
At=Area(a)+Area(b)
At=39.9+31.9
At=71.8
Step-by-step explanation:
Raymond had already run 3 miles on his own, and he expects to run 1 mile during each track practice. How many track practices would it take for Raymond to run 45 miles?
Answer in the number of practices.
Answer:
42
Step-by-step explanation:
45-3
Answer:
11.25, or 42
Step-by-step explanation:
If 3 miles every practice too, then:
3+1 = 4
45/4 = 11.25
If 3 miles already, then always 1 mile:
45 - 3 = 42
42/1 = 42
Beth was working at the grocery store, in the quick check-out line. A customer bought cereal for $3.29 and milk for $3.45. The customer paid with $10.00. How much change does Beth need to give the customer?
Answer:
Change = $3.26
Step-by-step explanation:
Given the following data;
Cost of cereal = $3.29.
Cost of milk = $3.45.
Amount paid = $10.00
Total cost of items bought = $3.29 + $3.45 = $6.74
Change = Amount paid - Total cost of items purchased.
Substituting into the equation, we have;
Change = $10.00 - $6.74
Change = $3.26
Therefore, Beth need to give the customer a change of $3.26.
Answer:
3.26
Step-by-step explanation:
I HAD THAT QUESTION
HELP PRETTY PLEASE ILL GIVE BRAINLIEST
150% of x is 216. What is x?
The amount of variation in the dependent variable that cannot be accounted for by the combination of independent variables in regression analysis is called .
Answer:
A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to the linear function that is represented by the table?
x
y
Negative two-thirds
Negative three-fourths
Negative one-sixth
Negative StartFraction 9 Over 16 EndFraction
One-third
Negative StartFraction 3 Over 8 EndFraction
StartFraction 5 Over 6 EndFraction
Negative StartFraction 3 Over 16 EndFraction
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
It has a different slope and a different y-intercept
Step-by-step explanation:
A submarine is descending to examine the seafloor 2,100 feet below the surface. It took the submarine 8.75 hours to reach the seafloor. What is the submarines rate of descent in feet per hour?
Answer:
240 feet per hour
Step-by-step explanation:
Given that:
Submarine is descending for examining the sea floor.
Distance of sea floor from the surface = 2100 feet
Time taken for the descend = 8.75 hours
To find:
The rate of descent in feet per hour = ?
Solution:
Here, we are given the distance traveled in feet and the time taken to travel that distance in hours.
And we have to find nothing but the speed of the submarine.
First of all, let us have a look at the relationship among speed, distance and time.
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Putting the values of distance and time.
[tex]Speed = \dfrac{2100}{8.75}\\\Rightarrow Speed = \bold{240\ feet/hr}[/tex]
PLEASE HELP ME PLEASE
Answer:
We conclude that:
f(2) = -5Step-by-step explanation:
Given the function
[tex]y = f(x)[/tex]
In order to determine the value f(2), we need to check the value of y at x = 2.
In other words, we need to check:
at x = 2, what is the value of y?
From the graph, it is clear that at x = 2, the value of y = -5
In other words,
f(2) = -5
Therefore, we conclude that:
f(2) = -5Kip claims that when a triangle is translated, it becomes impossible to determine the measures of the new triangle.
Complete the table below to determine the measures of the sides of A XYZ
Answer:
the sizes will be the same
Step-by-step explanation:
Help with number 23 plz. Plz...
Answer:
D
Step-by-step explanation:
D, it has (x). so its easy to plug in x e.g. 3(4y+6)-2y=3.
Hope this helps plz hit the crown :D
PLSSSSS I NEED HELP I WILL GIVE BRAINLEST OR HOWEVER I SPELL IT PLSS ITS ON THE PICTURE‼️‼️
Answer:
2nd option where z=2
w=3
Answer:
the second answer
Step-by-step explanation:
Fractions help
4 and 2/3 divided into 3 and 1/6
Answer:
The answer is 1 9/19
Step-by-step explanation:
Why is 3x1/10 less than 3x10?
Answer:
below
Step-by-step explanation:
3*1/10 = 30/10 = 3
3 * 10 = 30
As you can see, 3 is less than 30.
Best of Luck!
The expression 3x1/10 is less than 3x10 because, 1-tenth is less than 10.
Place value concept:According to the question;
The given expressions are; 3×1/10 and 3×10.In essence, since 3 is common to both expressions;
We can draw a comparison between 1/10 and 10.Ultimately, since 1/10 is less than 10; we can conclude that 3×1/10 is less than 3×10.
Read more on place value:
https://brainly.com/question/25137147
Last night, the two dinner specials at Bruce's favorite restaurant were salmon filet and steak. The restaurant served 30 specials in all, 40% of which were salmon filets. How many salmon filets did the restaurant serve?
Answer:
12
Step-by-step explanation:
100% represents 30
What about 40%
100%=30
Cross mutiply you get 12
What is the inverse of the function f(x) = one-ninth * x + 2?
Answer:
Please mark as brainliest!!!!
Step-by-step explanation:
https://brainly.com/question/1144043
Answer:
f⁻¹(x) = 9x - 18Step-by-step explanation:
Given
f(x) = 1/9x + 2Let the inverse be y= f⁻¹(x)
To find inverse change x ⇒ y and solve for y:
x = 1/9y + 29x = y + 18y = 9x - 18So the inverse is:
f⁻¹(x) = 9x - 18Plz help ASAP I need answers now for all of them
Tyler needs to buy a book for school that costs $13 he also wants to get a book for each of his two sisters and he wants to be sure he spends the same amount on each of their books. He only has $27 to spend. Let b represent the amount he can spend on each additional book
Answer:
[tex]b = \$7[/tex]
Step-by-step explanation:
Given that:
Cost of book that Tyler wants to buy for his school = $13
He wants to buy books for his sisters as well.
Total amount of money present with Tyler = $27
Money to be spent on books for his sisters is same and is represented as [tex]b[/tex].
To find:
The value of [tex]b[/tex].
Solution:
As per question statement, the sum of all the books bought must be equal to $27.
The sum of money spent on all the books = Cost of Tyler's book + Cost of books for his sisters
[tex]\Rightarrow \$13 + b + b = \$27\\\Rightarrow \$13 + 2b = \$27\\\Rightarrow 2b =\$14\\\Rightarrow b =\$7[/tex]
Therefore, Tyler must spend $7 on each of her sister's books.