someone deposits rs 40000 in a bank at the rate of 5%p.a. if he hsa to pay 5% of interest as income tax, how much will he get after 4 years
Answers
If someone deposits Rs 40000 in a bank at the rate of 5% p.a. after paying 5% tax, the amount he will get after 4 years is Rs 47600.
How the amount is determined:
Principal amount (P) = Rs. 40000
Rate of interest (R) = 5% per annum
Time period (T) = 4 years
We can calculate the simple interest using the formula:
[tex]\text{Simple Interest} = \frac{{P \cdot R \cdot T}}{{100}}[/tex]
Plugging in the values:
[tex]\text{SI} = \frac{{40000 \times 5 \times 4}}{{100}}[/tex]
= Rs 8000
Total Income after 4 years = Principal + Interest
Total Income = 40000 + 8000 = Rs 48000
Income Tax on Interest: The income earner needs to pay 5% income tax on the interest earned
Tax to Pay = 5% of Rs 8000 = Rs 400
Final Amount Received after Tax = Total Income - Tax to Pay
= 48000 - 400
= Rs 47600
Complete Question:
If someone deposits Rs 40000 in a bank at the rate of 5% p.a. If he has to pay 5% of interest as income tax, how much will he get after 4 years?
Related Questions
Use the least common denominator to write an equivalent franc toon for each fraction for 1/12 and 3/8
Answers
To find equivalent fractions for 1/12 and 3/8 using the least common denominator, multiply the numerator and denominator of each fraction by the appropriate factor to obtain fractions with a common denominator of 24.
Explanation:To find an equivalent fraction for 1/12 and 3/8 using the least common denominator, we need to determine the smallest multiple that both denominators (12 and 8) have in common. The least common multiple of 12 and 8 is 24.
To convert 1/12 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 2:
1/12 = (1 * 2) / (12 * 2) = 2/24.
To convert 3/8 to a fraction with 24 as the denominator, we need to multiply the numerator and denominator by 3:
3/8 = (3 * 3) / (8 * 3) = 9/24.
Final answer:
The equivalent fractions with the least common denominator of 24 for 1/12 and 3/8 are 2/24 and 9/24, respectively.
Explanation:
To find an equivalent fraction for each fraction with the least common denominator (LCD), you first need to determine the LCD for 1/12 and 3/8. In this case, the LCD for 12 and 8 is 24. Then, you adjust each fraction to have the denominator of 24.
For 1/12: Multiply both the numerator and the denominator by 2 to get 2/24.
For 3/8: Multiply both the numerator and the denominator by 3 to get 9/24.
Therefore, the equivalent fractions with a common denominator of 24 are 2/24 and 9/24.
To understand equivalency in general, when you multiply the numerator and the denominator of a fraction by the same number, you are creating a fraction that represents the same value as the original.
A used motorcycle is priced at 3,438 if u borrow the money for the motorcycle your payment will be 165 per month for 24 months. How much will u save by paying cash
Answers
Answer:
522
Step-by-step explanation:
We are given that the price of the motorcycle is 3238 and if we borrow it then the payment per month will be 165 for 24 months.
So the total amount that we are going to pay if we borrow the motorcycle will be 165 × 24 = 3960
While the actual price of the bike is 3438.
Difference in the payment and actual price = 3960 - 3438 = 522
Therefore, you can save 522 by paying cash.
Karen wakes up at 6:00 A. M. It takes her 1 1/4 hours to shower, get dressed, and fix her hair. It takes her 1/2 hour to eat breakfast, brush her teeth, and make her bed. At what time will she be ready to leave for school?]
Answers
The answer is: " 7:45 a.m. " .
__________________________________________
Step-by-step explanation:
__________________________________________
Start at:
____________________
6:00 a.m.
____________________
Add 1 1/4 hours ; which is
1 + (1/4) hours:
Note: " 1 hr = 60 min." .
_____________________
So:
(1/4 hr) * ([tex]\frac{60 min }{ 1 h}[/tex]) ;
= (1/4) * 60 min;
= (60/4) min.
= 15 min.
______________________
So: 1 1/4 hr = 1 hr. 15 min.;
______________________
So: Start at: 6:00 a.m .
Add " 1 1/4 hrs." ; i.e. add 1 hr 15 min.
_______________________
6:00 a.m + 1 hr = 7:00 a.m. ;
7:00 a.m. + 15 min. = 7: 15 a.m. ;
_______________________
Now, we are at:
_______________________
7:15 a.m. ;
Now add: "1/2 hour" to "7:15 a.m." to this time.
Note: " 1 hr = 60 min.
So;
"1/2 hr = (1/2) * (60 min) = (60 / 2) min. = 30 min.
________________________
So: we have 7:15 a.m. ;
we add "30 min." to this time.
and we have: 7:45 a.m.
___________________________________________________
The answer is: " 7:45 a.m. " .
__________________________________________________
Answer:
it's 8:15
Step-by-step explanation:
start at 6:00+1:15 (aka 1 1/4 an hour) =7:45+30 min=8:15
What time is shown in the clock
Answers
short hand is hours
big hand is minutes
If f(x) = 1 – x, which value is equivalent to |f(i)|?
0
1
√2
√-1
Answers
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We plug in [tex]i[/tex] into [tex]f(x)[/tex] to get:
[tex]f(i)=1-i[/tex]
Here, [tex]i[/tex] is the imaginary number [tex]i=\sqrt{-1}[/tex]
To get absolute value of an imaginary number, we use the following formula:
[tex]a+bi=\sqrt{a^2+b^2}[/tex]
So absolute value of [tex]f(i)[/tex] is:
[tex]|f(i)|=\sqrt{(1)^2+(1)^2} \\=\sqrt{1+1} \\=\sqrt{2}[/tex]
Please help me I really need it :( (-->WILL MARK BRAINLIEST<-- I ALREADY HAVE THE ANSWER FOR PART A, I JUST NEED PART B ANSWERED AND CAN YOU PLEASE EXPLAIN HOW YOU GOT YOUR ANSWER Thx :D)
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
(a) What is the system that models this situation?
(b) Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture (2,3) ; 2.5 lb peanuts and 2.5 lb mixture (2.5, 2.5); 4 lb peanuts and 1 lb mixture (4,1) ? Show your work. Please help me :'(
Answers
Answer:
(a) [tex]\left\{\begin{array}{l}0.8m=2\\p+0.2m=3\end{array}\right.[/tex]
(b) correct choice is 2.5 lb peanuts and 2.5 lb mixture (2.5, 2.5);
Step-by-step explanation:
Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
1. In m pounds of the 80% almond-20% peanut mixture there are 0.8m pounds of almonds and 0.2m pounds of peanuts.
2. When added p pounds of peanuts to m pounds of mixture, you get (p+0.2m) pounds of peanuts and 0.8m pounds of almonds.
3. In 5 pounds of the 40% almond-60% peanut mixture there are [tex]0.6\cdot 5=3[/tex] pounds of peanut and [tex]0.4\cdot 5=2[/tex] pounds of almonds.
(a) Then you get a system of two equations:
[tex]\left\{\begin{array}{l}0.8m=2\\p+0.2m=3\end{array}\right.[/tex]
(b) Solve this system. From the first equation
[tex]m=\dfrac{2}{0.8}=2.5\ pounds,[/tex]
then
[tex]p+0.2\cdot 2.5=3,\\ \\p=3-0.5,\\ \\p=2.5\ pounds.[/tex]
PLEASE HELP ME!
Two similar triangles are shown on the following coordinate grid:
Which set of transformations has been preformed on triangle EFG to form triangle E’F’G’?
Answers
Answer:
Reflection across y-axis followed by dilation with scale factor 4 and center (0,0).
Step-by-step explanation:
From the given figure it is noticed that the vertices of preimage are E(-2,1), F(-2,0) and G(-3,0). The vertices of image are E'(8,4), F'(8,0) and G'(12,0).
The triangle E'F'G' is enlargement of mirror image of EFG. Therefore reflect the triangle EFG across y-axis. If a point reflects across y-axis, then
[tex](x,y)\rightarrow (-x,y)[/tex]
The new vertices of the triangle are E(2,1), F(2,0) and G(3,0).
Length of FG is 1 unit and length of F'G' is 4 units. The scale factor is
[tex]\frac{F'G'}{FG}=\frac{4}{1}=4[/tex]
Length of OF is 2 unit and length of OF' is 8 units.
[tex]\frac{OF'}{OF}=\frac{8}{2}=4[/tex]
Rule of dilation with scale factor k and origin as center of dilation is defined as
[tex](x,y)\rightarrow (kx,ky)[/tex]
The vertices of image are E'(8,4), F'(8,0) and G'(12,0).
Since the distance ratio of image and preimage from the origin is same as the scale factor, therefore the center of dilation is origin.
Thus, the triangle EFG can form the triangle E’F’G’ using reflection across y-axis followed by dilation with scale factor 4 and center (0,0).
Notes: In this case dilation with scale factor 4 and center (0,0) followed by reflection across y-axis will give the same results.
Answer:
Dilation by a scale factor of 4 followed by reflection about the y-axis
Step-by-step explanation:
Hope this helps
Which statement cannot be justified given that PBJ = TIM
PB=TI
Angle B = angle I
Angle BJP = IMT
JP=MI
Answers
Answer:
JP = MI
Step-by-step explanation:
JP = TI (right)
Angle B = Angle I (right)
Angle BJP = Angle IMT (right: Angle J = Angle M)
JP = MI (wrong: JP = IT)
I hope I helped you.
Answer:
JP = MI
Step-by-step explanation:
Which of the following equations is not a linear equation? a. y = x + 6 b. y2 = x2 + 3 c. x = 5 d. 2x = 3y
Answers
A linear equation is any equation that results in a straight line, as each value is a fixed number from the previous.
In a non-linear equation, a variable is being raised to a power, which results in a curved line.
Answer:
b. y^2 = x^2 + 3 not a linear equation
Step-by-step explanation:
Linear equations are equations in which the variable is in the first degree, or only to the first power.
a. y = x + 6 Nothing above the first power
b. y^2 = x^2 + 3 X and y are to the second power
c. x = 5 Only to the first power
d. 2x = 3y Only to the first power
What is an equation for this line?
Answers
Answer:
The equation of the line is y=-x
Step-by-step explanation:
To find the equation for a line, we need to know 2 points.
One of the points is (0,0) because it goes through the origin. Another point is (5,-5). We can calculate the slope because we have 2 points using the formula.
m = (y2-y1)/(m2-m1)
m = (-5-0)/(5-0)
m = -5/5
m=-1
The slope is -1
We know the y intercept (where it crosses the y axis) is 0. Using the slope intercept form of a line
y = mx+b
y =-1x+ 0
y = -x
The equation of the line is y=-x
It takes Lola .62 hours to ride her skateboard 6.2 miles. What is her speed in miles per hour
Answers
Answer:
10mph
Step-by-step explanation:
it's a ratio
6.2 miles divided by .62=10
Which statement describes the translation of y = −1/5 (x + 5)2 + 2 from standard position? Standard position is when the vertex is at the origin.(1 point)
A
Moved up and to the right
B
Moved up and to the left
C
Moved down and to the left
D
Moved down and to the right
Answers
f(x) + n - move the graph n units up
f(x) - n - move the graph n units down
f(x + n) - move the graph n units to the left
f(x - n) - move the graph n units to the right
---------------------------------------------------------------------------------------
[tex]f(x)=-\dfrac{1}{5}x^2\\\\f(x+5)=-\dfrac{1}{5}(x+5)^2\\\\f(x+5)+2=-\dfrac{1}{5}(x+5)^2+2[/tex]
B. Moved 2 units up and 5 units to the left.The equation y = -1/5 (x + 5)^2 + 2 is translated from the standard position by moving up and to the left.
Explanation:In the equation y = -1/5 (x + 5)^2 + 2, the transformation of the graph from its standard position is determined by the constants within the equation. The -5 inside the parentheses causes a shift to the left by 5 units and +2 outside the parentheses represents an upward shift by 2 units. Therefore, the graph of the equation is moved up and to the left from its standard position where the vertex is at the origin.
Learn more about Mathematical Transformations here:https://brainly.com/question/35544174
#SPJ3
Write as a ratio - 12 cartoons out of 34 videos
Answers
simplest form 6/17
so the ratio is 6:17
Plz make me brainiest
find the perimeter of the figure below.
Answers
Answer:
The answer is 55
Step-by-step explanation:
6 + 11 + 8 + 14 + 16 = 55
(5/6)^-2 without exponent
Answers
Answer:
36/25
Step-by-step explanation:
[tex](\frac{5}{6})^{-2}=(\frac{6}{5})^{2}\\(\frac{6}{5})^2=\frac{6}{5}\times\frac{6}{5}\\=\frac{36}{25}[/tex]
Steps:
Flip the fraction (negative exponent)
Square the fraction
Answer:
36/25 or 1 11/25
Step-by-step explanation:
(5/6)^-2
A negative exponent tells us to flip the fraction. It only eliminates the negative part of the exponent.
(6/5) ^2
We can split it apart (a/b)^x = a^x/b^x
6^2/5^2
36/25
1 11/25
15 poins!!! Will give Brainliest!!! Help ASAP hurry!!!! Plzzz!!!
Line AD is perpendicular to line BF.
Based on the given information, if m1= 60°, then m2 = _____.
A. 30°
B. 60°
C. 90°
D. 180°
Answers
Answer:
if m1= 60° than m2 must= A. 30° Since perpendicular lines form a right
A runner times herself to see how long it takes her to run different distances. The table shows. The runners time (in minutes) for running several distances(in miles).
Miles- 1. 2. 3. 4. 6. 8. 10. 12.
Time- 7. 16. 30. 35. 57. 75. 106. 132.
About how long would you expect it to take this runner to run 17 miles? Find a line of best fit for this data and use it to make you prediction.
A) 205 minutes
B) 175 minutes
C) 161 minutes
D) 183 minutes
Also if you know all the answers please let me know also. Thanks!
Answers
Answer:
The correct answer is D
Step-by-step explanation:
Please see the attachment
Answer:d
Step-by-step explanation:
Two men worked on a car. the first man worked 20 hours and the second man worked 15 hours. Together they charged 3050. what was the rate charge per hour by each man if the sum of the two rates was 165. per hour?
Answers
Answer:
First man rate is 115
Second man rate is 50
Step-by-step explanation:
Let's assume rate of charge of first men is x
rate of charge of second men is y
we are given
the sum of the two rates was 165. per hour
so, we get
[tex]x+y=165[/tex]
Two men worked on a car. the first man worked 20 hours and the second man worked 15 hours. Together they charged 3050
so, we get
[tex]20x+15y=3050[/tex]
we can simplify it
[tex]5(4x+3y)=3050[/tex]
[tex](4x+3y)=610[/tex]
so, we got system of equations as
[tex]x+y=165[/tex]
[tex]4x+3y=610[/tex]
We can solve for y from first equation and plug into second equation
[tex]y=165-x[/tex]
[tex]4x+3(165-x)=610[/tex]
[tex]x+495=610[/tex]
[tex]x=115[/tex]
now, we can solve for y
[tex]y=165-115[/tex]
[tex]y=50[/tex]
lamp is reduced from $80. to $50. what is the percent of decrease
Answers
Answer:
30/80 is the fraction of decrease. Converting this to a fraction with a denominator of 100, we get the fraction;
37.5/100
Now we just take the numerator of the number to get the percent, which is the solution.
37.5%
what is the absolute value of
Answers
Answer:
[tex]\frac{8}{9}[/tex]
Step-by-step explanation:
the absolute value function always returns a positive value, that is
| a | = | - a | = a
| [tex]\frac{8}{9}[/tex] | = [tex]\frac{8}{9}[/tex]
Answer:
8/9
Step-by-step explanation:
when you put 8/9 in the lines it will stay the same.
ex: I7I=7
A group of students was surveyed and asked to name their favorite fruit. the table shows the results of the survey. Apples 30, oranges 15, strawberries 40, pears 25, and peaches 10.
(It has 3 questions labeled as A, B, and C)
A) what percent of students surveyed prefer strawberries?
B) what percent of students surveyed prefer the least favorite fruit?
C) what percent of students surveyed prefered apples or pears?
Answers
a. The percentage of students who prefer strawberries is 33.33%.
b. The percentage of students who prefer the least favorite fruit is 8.33%.
c. The percentage of students who prefer apples or pears is 45.83%.
A) To find the percentage of students who prefer strawberries:
Add up the total number of students surveyed: 30 (apples) + 15 (oranges) + 40 (strawberries) + 25 (pears) + 10 (peaches) = 120 students.
Determine the number of students who prefer strawberries: 40.
Calculate the percentage: (Number of students who prefer strawberries / Total number of students surveyed) * 100 = (40 / 120) * 100 = 33.33%.
B) To find the percentage of students who prefer the least favorite fruit:
Identify the least favorite fruit, which is peaches with 10 preferences.
Calculate the percentage: (Number of students who prefer peaches / Total number of students surveyed) * 100 = (10 / 120) * 100 = 8.33%.
C) To find the percentage of students who prefer apples or pears:
Add up the number of students who prefer apples and pears: 30 (apples) + 25 (pears) = 55.
Calculate the percentage: (Number of students who prefer apples or pears / Total number of students surveyed) * 100 = (55 / 120) * 100 = 45.83%.
So, the answers are:
A) 33.33%
B) 8.33%
C) 45.83%
The detailed answer provides percentages for students preferring specific fruits from a survey.
A) What percent of students surveyed prefer strawberries?
Total students surveyed: 30 + 15 + 40 + 25 + 10 = 120Students preferring strawberries: 40Percent of students preferring strawberries = (40/120) x 100 = 33.33%B) What percent of students surveyed prefer the least favorite fruit?
Least preferred fruit: Peaches (10 students)Percent of students preferring peaches = (10/120) x 100 = 8.33%C) What percent of students surveyed prefered apples or pears?
Students preferring apples or pears: 30 + 25 = 55Percent of students preferring apples or pears = (55/120) x 100 = 45.83%
Solve –4(6x + 3) = –12(x + 10).
A. x = 2
B. x = 9
C. x = –5
D. x = 5
Answers
Answer:
B
Step-by-step explanation:
distribute parenthesis on both sides of the equation
- 24x - 12 = - 12x - 120 ( add 12x to both sides )
- 12x - 12 = - 120 ( add 12 to both sides )
- 12x = - 108 ( divide both sides by - 12 )
x = 9 → B
What’s 15.61 divided by 7
Answers
PLEASE GIVE BRAINLIEST
In this picture B and F are midpoints CE=90 BF=
Answers
By definition, BF = 1/2 * CE;
So, BF = 1/2 * 90 = 45.
BF = 45
(Midsegment Length Theorem)
Answer:
BF=45
Step-by-step explanation:
Here the given point B and point [tex]F[/tex] are the midpoint of the sides AC and AE respectively in triangle ACE .
According to converse of Thales theorem -if a line divides any two sides of a triangle in equal parts then that line will be parallel to the third side of the triangle.
Also ,
In the above said condition, that line will be half of the third side
On applying this concept in the given triangle ACE
[tex]BF= \frac{1}{2} *CE\\BF=\frac{1}{2} *90\\BF=45[/tex]
Hence BF=45
Which ratios form a proportion? A. 9/45,8/40 B. 9/22,14/28 C. 8/12,12!15 D.8/12,12/21
Answers
Answer: Choice A) 9/45 and 8/40
------------------------
If you divide both top and bottom of 9/45 by the GCF 9, you get 1/5
If you divide top and bottom of 8/40 by the GCF 8, you also get 1/5
So the original fractions must be the same
------------------------
Another way to check is to use a calculator and see that 9/45 = 0.2 and 8/40 = 0.2, so 9/45 = 8/40
Or you can subtract the fractions and you should end up with 0, so, 9/45 - 8/40 = 0
-------------------------
You can also set up a proportion and cross multiply
9/45 = 8/40
9*40 = 45*8
360 = 360
The last equation is true, so the first equation must be true
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
n an
1 −4
2 20
3 −100
an = −5(−4)n − 1 where n ≥ 1
an = −4(−5)n − 1 where n ≥ 1
an = −4(5)n − 1 where n ≥ −4
an = 5(−4)n − 1 where n ≥ −4
Answers
Answer:
B
Step-by-step explanation:
given the first 3 terms of the geometric sequence - 4, 20, - 100
with r = [tex]\frac{-100}{20}[/tex] = [tex]\frac{20}{-4}[/tex] = - 5
the n th term formula ( explicit formula ) is
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex]r^{n-1}[/tex]
here r = - 5 and [tex]a_{1}[/tex] = - 4, hence
[tex]a_{n}[/tex] = - 4 [tex](-5)^{n-1}[/tex] with n ≥ 1
This question is solved using geometric sequence concepts, and doing this, we get that the correct option is:
[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex], second option
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is the same, called common ration, and the general equation is given by:
[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]
In which [tex]a_1[/tex] is the first term and q is the common ratio.
-------------------------------------------------------
n an
1 −4
2 20
3 −100
First term is -4, so [tex]a_1 = -4[/tex], then:
[tex]a_n = a_1q^{n-1}, n \geq 1[/tex]
[tex]a_n = -4q^{n-1}, n \geq 1[/tex]
The common ratio is:
[tex]q = \frac{-100}{20} = \frac{20}{-4} = -5[/tex]
Thus:
[tex]a_n = -4(-5)^{n-1}, n \geq 1[/tex] is the sequence.
A similar example is given at https://brainly.com/question/24078619
What's the slope
(2,6)(6,5) use y2+y1
X2+X1. *just image a line in between
Answers
Answer:
slope = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (6, 5)
m = [tex]\frac{5-6}{6-2}[/tex] = - [tex]\frac{1}{4}[/tex]
In a classroom, 70% of students were in Club A. 45% of students were in Club B. What is the probability of the students that are in both Club A and Club B??
Answers
Answer:
15%
17 kids are part of club A and B
Kelly wants to know if the house she wants to buy has any maintenance issues. What should she do? A. ask a home inspector to check the house B. arrange for a residential survey C. get a real estate appraisal done
Answers
Answer:i think it is a
Step-by-step explanation:
Answer:
Real Estate appraisal
Step-by-step explanation:
A car's gas tank holds 18 gallons of gas when it is full. If the car 's gas tank is currently 65% full, how many gallons of gas is in the tank?
Help, please! Show the steps, please!
Answers
Answer:
11.7 Gallons
Step-by-step explanation:
First turn the percentage into a decimal then multiply it by the whole number which is 18 and you should get 11.7 and that is how many gallons are currently in the tank
Answer:
11.7
Step-by-step explanation:
To solve this problem, we need to find what is 65 percent of 18.
To do this, we can simply multiply 18 by .65. Don't forget the decimal!
The answer is 11.7
Hope this helps! (Brainliest Please!)