Find the simple interest and amount when principal = Rs. 6000, rate = 6% per annum and time = 4 years
Given:
Principal = Rs. 6000
Rate of simple interest = 6% per annum.
Time = 4 years
To find:
The simple interest and amount.
Solution:
Formula for simple interest:
[tex]I=\dfrac{P\times r\times t}{100}[/tex]
Where, P is principal, r is the rate of interest and t is the number of years.
Putting P=6000, r=6 and t=4, we get
[tex]I=\dfrac{6000\times 6\times 4}{100}[/tex]
[tex]I=60\times 6\times 4[/tex]
[tex]I=1440[/tex]
Now,
[tex]Amount=Principal+Interest[/tex]
[tex]Amount=6000+1440[/tex]
[tex]Amount=7440[/tex]
Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.
Triangle ABC is reflected over the x-axis. What are the coordinates of the image of the vertex A?
I wanna know how to solve
the equation
Answer:
-72=r
Step-by-step explanation:
what is 40 percent of 90 percent
Answer:0.36
or 36
Step-by-step explan: used calculator
I need help here is the problem
Answer:
12.96pi
Step-by-step explanation:
area = r^2 *pi
= 3.6^2 * pi
= 12.96pi
Step-by-step explanation:
area of a circle is = π r²
π × (3.6)²
= π × 12.96
= 12.96π
(19 + 2) x 11 + 3 hhhh
Answer:
234
Step-by-step explanation:
30 POINTS!! PLEASE HELP
What is the area of the shape below?
Answer:
168 square feet
Step-by-step explanation:
A = 18 x 8 + 8 x 6 x 1/2
A = 144 + 24
A = 168
Hope that helps!
Answer:
150
-i just learned that and you have to multiply lenght × width × height
18×8×6 and its 150
PLEASE HELP ME-Name the angles and sides of each pair of triangles that are congruent.
Answer:
Step-by-step explanation:
1) GH ≅ GH
HF ≅HL
GF ≅ GL
∠FGH =∠LGH
∠GHF = ∠GHL
∠GFH = ∠GLH
3) WX ≅ DC
XY ≅ CY
WY ≅ DY
∠WXY ≅∠DCY
∠XYW≅ ∠CYD
∠XWY ≅∠CDY
-3x - 5 = 16
x=???
[need to right more because my question is too short stuff in brackets is irrelevant]
What is the radius and diameter of the following circle?
Answer:1
Step-by-step explanation: 1+1=3
The first 3 figures in a pattern are shown.
Which of the following functions represents f(n), the number of small squares in figure n?
A f(n) = 2n?
B. f(n) = (n + 4)2
C. f(n) = 50 + 4
D f(n) = n2 + 4
Solve liner equation for they variable
3x-5(x+6)=-2x-2(5+10)
Answer:
all numbers
Step-by-step explanation:
3x - 5(x + 6) = -2x -2(5 + 10)
Distribute on both sides.
3x - 5x - 30 = -2x - 10 - 20
Add 2x to both sides.
-2x - 30 = -2x - 30
-30 = -30
Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.
Answer: all numbers
HELP NOW WITH EXPONENTS
PLZ MARK BRAINLIEST! :)
Answer:
[tex]7^{12}[/tex]
Step-by-step explanation:
When you divide two numbers that have exponents and have the same base, just subtract the exponents. In this case, 7 is the base of both the dividend and the divisor. So, simply subtract 14 - 2 to get 12. The final answer is [tex]7^{12}[/tex].
Hope this helps! :)
What value is equivalent to 3 x 10 - 2(12 - 3 x 3)
mark pays a $2 enterance fee and $0.75 every time he plays his favorite video game. If he has $17 , how many video games can he play?
Answer:
6 video games
Step-by-step explanation:
divide 17 by 2.75
use exponents to write an equivalent expression for 2.9 x 2.9 x 2.9 x 2.9.
Answer:
2.9 to the 4th power
Step-by-step explanation:
pls help w fractions math question
Answer:
2 5/6 is greater so Jenna read more
Step-by-step explanation:
Answer:
Antoine
Step-by-step explanation:
u see 8hrs divided by 1.25 hrs equals 6.4 Chapters and 6hrs/ 17/6 = 2.12 and that x3 = 6.36 as u can see 6.4 > 6.36 there u o have a good day bye please give brainliest im only 9 no cap
In the orthonormal system (O; i⃗,j⃗) below, consider point A(3, −1), vector v⃗(2,1), and
straight line (d).
Let (d’) be the line of equation y = −2x + 5.
1. Show that A belongs to (d’).
2. Draw the straight line (d’).
3. Write a Cartesian equation of line (d).
4. What is the relative position of the lines (d)
and (d’)? Justify your answer.
5. Write the reduced equation of the straight
line(D) defined by (A, ⃗v⃗).
6. Deduce that the two lines (D) and (d) are
perpendicular.
7. Determine the coordinates of the point of
intersection I of the two lines (d) and (D).
Answer:
Step-by-step explanation:
3. A kite is aloft at the end of a 1500 foot string. The string make an angle of 43° with the
ground. How far above the ground is the kite?
Do not calculate! Please provide your answer in calculator ready form. For example: h -
237cos(3129)
Answer:
[tex]h= 1500\,*\,sin(43^o)[/tex]
Step-by-step explanation:
Notice that there is a right angle triangle formed with sides as follows:
hypotenuse is the actual 1500 ft string. The acute angle 43 degrees is opposite to the segment that represents the height of the kite from the ground. Therefore, the trigonometric ratio that we can use to find that opposite side to the given angle, is the sine function as shown below:
[tex]sin(43^o) = \frac{opposite}{hypotenuse} \\sin(43^o) = \frac{opposite}{1500}\\opposite = 1500\,*\,sin(43^o)\\h= 1500\,*\,sin(43^o)[/tex]
Hayley took a total of 9 quizzes over the course of 3 weeks.After attending 7 weeks of school quater,how many quizzes will hayley have taken in total
Answer:
21 quizzes
Step-by-step explanation:
3 quizzes per week 9÷3=3
7 weeks = 3×7 so 21 quizzes
Answer:
21 quizzes
Step-by-step explanation:
What we know:
- Hayley takes 9 quizzes in 3 weeks
What we want to find:
- The number of quizzes Hayley would've taken after 7 weeks
We need to first find the number of quizzes Hayley would take in 1 week and then multiply that number by 7. To find the number of quizzes per week, divide 9 by 3:
9÷3=3
Therefore, every week, Hayley takes 3 quizzes.
Now, we multiply 3 by 7:
3×7=21
Therefore, after attending 7 weeks of school, Hayley would've taken 21 quizzes in total.
I hope this helps!
Bearings Problem Solving Question:
From a lighthouse two boats can be sighted. Boat 1 on a bearing of 60° at a distance of 2km and Boat 2 on a bearing of 340° at a distance of 3km.
a) If Boat 1 is in need of assistance, what bearing would Boat 2 need to travel on to reach it?
b) Assuming Boat 1 does not move, how far would Boat 2 have to travel?
9514 1404 393
Answer:
a) 123.4°
b) 3.3 km
Step-by-step explanation:
In (N, E) coordinates, Boat 1 is located relative to the lighthouse at ...
2(cos(60°), sin(60°)) = (1.0, 1.732) . . . . . km
Boat 2 is located at ...
3(cost(340°), sin(340°)) = (2.819, -1.026) . . . . . km
So, relative to Boat 2, Boat 1 is located at ...
(1, 1.732) -(2.819, -1.026) = (-1.819, 2.758) . . . . . km
This is at a bearing of ...
arctan(2.758/-1.819) = 123.4°
and a distance of ...
√(1.819² +2.758²) ≈ 3.304 . . . . . km
a) Boat 2 would need to travel on a bearing of 123.4°.
b) Boat 2 would need to travel 3.3 km.
_____
Additional comment
We use (North, East) coordinates so we don't have to do the mental gyrations necessary to translate to and from (E, N) coordinates. The latter would correctly orient a map relative to the X-Y Cartesian plane. The former are equivalent to flipping the map over and looking at it from the back side. This is a "rigid transformation", so angles and distances remain unchanged.
Please help me solve this
Answer:
1st pic:
x = 49
top angle = 45
bottom angle = 108
far right angle = 27 degrees
2nd pic:
angle 1 = 88 degrees
angle 2 = 57 degrees
angle 3 = 35 degrees
angle 4 = 145 degrees
Step-by-step explanation:
1st pic:
you can find the far right angle by taking 153 and subtracting it from 180:
⇒ 180 - 153 = 27 degrees
you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180
combine like terms ⇒ 3x + 33 = 180
subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147
divide 3 on each side: ⇒ [tex]\frac{3x}{3} = \frac{147}{3}[/tex]
x = 49
to find the top and bottom angles, substitute 49 for x:
top angle : x - 4
49 - 4 = 45 degrees
bottom angle: 2x + 10
2 x 49 + 10 = 108 degrees
2nd pic:
angle 1:
⇒ 180 - 92 = 88 degrees
angle 2:
⇒ 180 - 123 = 57 degrees
angle 3:
⇒ 180 - (88 + 57) = 35 degrees
angle 4:
⇒ 180 - 35 = 145 dgerees
At a middle school, 46 students have blonde hair. There are 230 students in the school. What percent of the students have blonde hair?
Answer:
20% of the students have blonde hair
Answer:
20%
Step-by-step explanation:
Pls help u get brain if u help me
Answer: 3.75 pounds
Step-by-step explanation:
12 smoothies needs 12 x 5 = 60 ounces of fruits
1 lb = 16oz
[tex]60oz(\frac{1lb}{16oz})\\= \frac{60oz*lb}{16oz}\\= 3.75 lb[/tex]
PLEASE HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP
Answer:
I think 40 visitors
Step-by-step explanation:
I am not 100% sure
Answer:
c. 50 visitors
Step-by-step explanation:
you can see that hiking is 1/4th of the circle
because it is a right angle
In hopes of encouraging healthier snacks at school, Janice brought in a tray 1 point
of carrot sticks and apple slices to share. She brought 76 snacks in all. 19 of
the snacks were carrot sticks. What percentage of the snacks were carrot
sticks?
Answer:
57%
Step-by-step explanation: Well, subtract 76 - 19 = 57. 57 of 100 = 57/100
57/100 = 57%
WILL GIVE BRAINLIEST
Answer:
5-2x=4-2x+4+x=8-x
x=5-8=-3
Answer:
The answer is B. One solution.
I NEED HELP FAST PLEASEEEE ITS A TEST 15 PTS
x + y = z could be true or false. Show your work for the
following:
a. If x is 2, y is 6, and z is 10, is the equation true or false?
b. If x is 3 and y is 5, what value of z would make the equation
true?
Answer:
a. False
b. z = 8
Step-by-step explanation:
a. Equation answer:2 + 6 = 10 Real answer:2 + 6 = 8
b. 3 + 5 = 8
please help it will be helpful
Equivalent Ratio
9:36=
21:27=
48:72=
60:45=
10:70=
find the measures of 1 and 2
Answer:
1 ) ∠1 = 105 ∠2 = 75
2) ∠1 = 50 ∠2 = 50
Step-by-step explanation: