Answer:
29/s
Step-by-step explanation:
A principal becomes an amount of 1080 in one year at the rate 8% per annum. What is the principal ?
Question :-
A Principal becomes an Amount of Rs. 1080 in 1 year at the Rate 8 % per annum . What is the Principal ?Answer :-
Principal is Rs. 135 .Explanation :-
As per the provided information in the given question, we have been given that the Amount is Rs. 1080 , Time Period is given 1 year , Rate of Interest is 8 % . And, we have been asked to calculate the Principal .
For calculating the Principal , we will use the Formula :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Simple \: Interest \: = \: \dfrac{P \times R \times T}{100} \: }} \\ [/tex]
Where ,
P denotes to the PrincipalR denotes to the Rate of InterestT denotes to the Time PeriodTherefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \sf{Simple \: Interest \: = \: \dfrac{Principal \: \times \: Rate \: \times \: Time}{100} } \\ [/tex]
[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 \: \times \: 1}{100} } \\ [/tex]
[tex] \longmapsto \: \: \sf{1080 \: = \: \dfrac{Principal \: \times \: 8 }{100} } \\ [/tex]
[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8 \times 1} } \\ [/tex]
[tex] \longmapsto \: \: \sf{Principal \: = \: \dfrac{1080 }{8} } \\ [/tex]
[tex] \longmapsto \: \: \textbf {\textsf {Principal \: = \: Rs. \: 135 }} \\ [/tex]
[tex] \underline {\rule {200pt} {4pt}} [/tex]
The principal amount of 1080 in one year at the rate of 8% per annum is 135.
What is the principal rate of the Simple Interest?Simple interest is the credit of income associated with a deposit or an investment.
The formula for calculating the simple interest is:
[tex]\mathbf{S.I = \dfrac{P \times R \times T}{100}}[/tex]
where:
S.I = simple interestP = principal R = rate T = timeMaking the principal the subject from the simple interest, we have:
[tex]\mathbf{P = \dfrac{100 \times S.I}{R \times T}}[/tex]
[tex]\mathbf{P = \dfrac{1080}{8 \times 1}}[/tex]
P = 135
Therefore, we can conclude that the principal amount of 1080 in one year at the rate of 8% per annum is 135.
Learn more about the principal amount of an investment here:
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When the three integers 400, 366, and 213 are divided by a positive integer d > 1, the remainders are the same. What is the least possible value of d
The number d is not a divisor of the integers 400, 366 and 213
The least possible value of d is 17
How to determine the least possible value of dThe numbers are given as:
400, 366 and 213
The divisor is given as: d
Where d > 1
To determine the least possible value of d, we make use of the following Python program, where comments are used to explain each action.
#This iterates from 2 to the smallest number of the three divisors
for d in range(2,213):
#This checks for the common remainder
if(400%d == 366%d) and (400%d == 213%d):
#This prints the value of d, when the smallest remainder of all three integers is determined
print(d)
At the end of the program, the output is 17
Hence, the least possible value of d is 17
Read more about remainders at:
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Determine if (3,2) is a solution to the equation y = -x + 1
Answer:
The left side 2 does not equal to the right side − 2 , which means that the given statement is false. False
Step-by-step explanation:
Hopefully this helps :)
Can somebody please help me please please please asap?
Answer:
Step-by-step explanation:
- 1/3(6x+18)=10
Help me find the answer before 7:40
Answer:
x = -8
Step-by-step explanation:
[tex]-\frac{1}{3}\left(6x+18\right)=10[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}-3[/tex]
[tex]\left(-\frac{1}{3}\left(6x+18\right)\right)\left(-3\right)=10\left(-3\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6x+18=-30[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]6x+18-18=-30-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6x=-48[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}6[/tex]
[tex]\frac{6x}{6}=\frac{-48}{6}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-8[/tex]
~Learn with Lenvy~
WHAT IS THE ANSWER OF 3/4=6
Answer: The answer to this is "False"
2 ( 3x + 2 ) = 2x + 28
Answer: x = 6
Step-by-step explanation:
1. Distribute
2. Subtract 4 from both sides of the equation
3. Simplify
4. Subtract 2x from both sides of the equation
5. Simplify
6. Divide both sides of the equation by the same term
7. Simplify
Hello, the answer would be X = 6
what is 1/10 + 1/3 and simplify it
Answer:
[tex] \frac{13}{30} [/tex]
Step-by-step explanation:
Reduce the fractions to having a common denominator (find the L.C.M. of 10 and 3).
[tex] \frac{1}{10} + \frac{1}{3} [/tex]
[tex] = \frac{1 \times 3}{10 \times3} + \frac{1 \times 10}{3 \times 10} [/tex]
[tex] = \frac{3}{30} + \frac{10}{30} [/tex]
[tex] = \frac{13}{30} [/tex]
Find the zeros of the function f (x) = 4x^2-16
Answer:
x=-2
x=2
Step-by-step explanation:
We can think of this equation like a statement
"4 times what squared minus sixteen is equal to zero"
First, we need to rearrange the equation:
[tex]4x^2=16[/tex]
Now using our common knowledge, we know that 4 times 4 is equal to 16
now we have another statement:
"x times x is going to be equal to 4"
*Remember that the two numbers have to be the same since x is squared*
Again, we can use common knowledge and say that 2x2 is equal to 4
This means that x=2
Now when you square a variable, the variable can have to values, a positive, and a negative value
So in this case, the other value for x would be x=-2 since -2 squared is also equal to 4
So we can come to a conclusion that
x=2
AND
x=-2
if one pound = rupees 135 and dollar =105 rupees then convert the pound 63 into Dollar
Answer:
Step-by-step explanation:
£63 = 135 × 63
= Rs . 8505
Rs . 8505 = 8505 / 105
= $81
Ben gets 14/20 in his Geography test. What percentage is this?
Answer:
70%
Step-by-step explanation:
Answer:
14/20 × 100=70% Hope this helps
A triangle has two angles namely 130 degrees and 10 degrees. What is the number of degrees of the third angle?
Step-by-step explanation:
10+130+x=180
140+x=180
x=40
Find the area of the missing square off of leg a if the area of one square is 369 and the area of another is 81.
A - 19.2
B - 144
C- 12
D- 288
Solution:
Note that:
Area of square = s² (s = Side length)Finding the leg of a square with area of 369 units²
c² = 369=> c = √369 unitsFinding the leg of a square with area of 81 units²
b² = 81=> b = √81 = 9 unitsFinding side length a using Pythagoras theorem
(√369)² = 9² + a²=> 369 = 81 + a²=> 369 - 81 = a²=> 288 = a²=> a = √288 = √144 x 2 = √12 x 12 x 2 = 12√2 unitsFinding the missing area of the square.
Area of square = a²=> Area of square = a² = (a)²=> Area of square = (12√2)²=> Area of square = (12√2)(12√2) = 288 units²Option D is correct.
1 gram of sugar costs 5400
how much would 1 ton cost?
Answer:
5400000000
Step-by-step explanation:
1gram=5400
1kg=5400*1000 (1kg=1000gm)
=5400000
1quntal=5400000*100 (1quntal=100kg)
=540000000
1ton=540000000*10 (1ton=10 quntal)
=5400000000
Hey, I am a student and I am taking algebra 1 regents . Can someone help me with my question below and explain how you got your answer? can you also let me know how to do ti-84 and ti nspire calc? I am using the ti nspire at school and ti-84 at home.
Here's the question :
On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Steven counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?
Answer:
65
Step-by-step explanation:
31, 6 = 37 t3 rows and 6 seats so its going up 2 every row so you need 14 rows after row 6 so 14 x 2 + 37 = 65 seats
Common difference
(37-31)/(6-3)6/32Row 2 has 29 seats
Row 1 has 27 seats
First term =27Seats on row 20
27+19(2)27+3865A square has a side length of 6 inches. Which of the following is the length of its diagonal in inches?
(1.) 12
(2.) 6/3
(3.) 20
(4.) 10/2
Answer:
8.49inches(incorrect options)
Step-by-step explanation:
the diagonal in a square divided the square into 2 and equal right- angled triangles.
to find the length of the diagonal of the square pick one of the triangles and find the length using pythagoras theorem.
having sketch a diagram. the length of the diagonal becomes the hypotenuse and the the two sides of the square becomes the opposite and adjacent side.
hyp²=opp²+adj²
L²=6²+6²
L²=72
L=8.49inches
Based on past musical productions, a theater predicts selling 400−8p number of tickets when each ticket is sold at p dollars. Using the table from the last question answer the following questions:
1. For which ticket prices will the theater earn no revenue? Explain how you know.
2. At what ticket prices should the theater sell the tickets if it must earn at least $3,200 in revenue to break even (to not lose money) on the musical production? Explain how you know.
To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.
What is an EquationAn equation is an expression that shows the relationship between two or more variables and numbers.
Revenue = number of tickets sold * price per ticket = (400 - 8p)p
Revenue = 400p - 8p²
For no revenue:
400p - 64p² = 0
p = $0 or p = $50
For revenue of atleast 3200:
400p - 8p² = 3200
p = $10 or p = $40
To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.
Find out more on Equation at: https://brainly.com/question/1214333
Find each missing measure. Round to the nearest tenth if necessary
Answer:
1 =68
2=68
3=125
Step-by-step explanation:
1.all interior angles adds up to 180:
180-39-73=68
2. opposite angles are equal so angles 1 and 2 are opposite therefore they are equal.
3. the sum of angles in a quadrilateral adds up to 360. so 360 - 90 - 68 -77= 125
Which terms could have a greatest common factor of 5m2n2?.
Answer:
a common factor would be 5m^4n^3 or 15m^2n^2
Step-by-step explanation:
not sure what terms they want you to choose from but anything that starts with a number (5,10,15,) and "m" would any number 5 would go into
If you are researcher how would you make sure that the result or outcome of your study will be accurate and precise?
Answer:
Keep all variables (temperature, place, lighting, etc.) constant other than the variable being tested.
Do the test multiple times. The variations must be small.
keep everything calibrated (marked)
record measurement correctly with the correct units
Step-by-step explanation:
2. Which of the following is the correct value of ? Show your reasoning.
Answer:
b
Step-by-step explanation:
0.22x4
= 0.22+0.22+0.22+0.22
=0.88
Or
0.22*100=22
22*4=88
88:100=0.88
For problems 8-10, evaluate the expression if a = 4, b = 6, and c = 10.
Answer:
[8] 3
[9] 12
[10] 64
Step-by-step explanation:
[8] [tex]\frac{5(6)}{10}[/tex] = 3
[9] [tex]\frac{1}{2}(4)(6)[/tex] = 12
[10] [tex]4(6+10)=[/tex]64
[RevyBreeze]
Answer:
Hope this helps you..please follow + Mark me as brainlist
Write a function for the line shown
What’s this answer?
Answer:
175/24
Step-by-step explanation:
First change mixed fraction to improper fraction.
1¾= (1×4+3)/4
= 7/4
4⅙= (4×6+1)/6
= 25/6
now multiply the nominators (numbers on the top) and then the denominators (numbers on the bottom)
I.e
7/4 × 25/6
= 7×25/4×6
= 175/24
it cannot be further simplified so 175/24 is the answer.
Type an equation for the line
shown in the graph.
(-2,3).
(2.5)
Answer:
y= 1/2x + 4
Step-by-step explanation:
the slope is one half and the y intercept is 4.
please give brainliest!!
Jonell has finished 20% of an art project that has taken him a total of 3 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
coins
Answer:
12 hours
Step-by-step explanation:
Need help on this question ASAP pleasee and thank you (:
The there angles in a triangle ge in the ratio
of 2.4.6. Find the measure of
and hence state the type of triangle.
of each angle
Answer:
Step-by-step explanation:
Which line has a slope of -3?
y= 4x + 3
y= 3x - 3
y=-3x+1
y=-2x - 3
Answer:
y= 4x + 3
Step-by-step explanation:
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Please find α/beta. EXPLAIN all the steps and use a trigonometric function.(give the value, explain and show all steps with a sentence for brainiest) ty
Answer: I don't know
Step-by-step explanation: Use the fact that 180° is equivalent to \pi radians as a conversion factor: 1=\frac{\pi \, \text{rad}}{180^{\circ}}=\frac{180^{\circ}}{\pi \, \text{rad}}.
225^{\circ}=225^{\circ}·\frac{\pi }{180^{\circ}}=\frac{5\pi }{4} rad
\frac{5\pi }{3} rad = \frac{5\pi }{3}·\frac{180^{\circ}}{\pi }=300^{\circ}
I know this is probably not right sorry if I wasted your time cause my friend told me this.