Answer:
The amount he gains in 2 years is Rs. 250
Step-by-step explanation:
The parameters of the amount borrowed from the bank are;
The amount borrowed, P = Rs. 16,000
The interest rate of the amount borrowed, R = 12.5%
The number of years, T = 2 years
The simple interest, I = (P × R × T)/100 = (Rs. 16,000 × 12.5 × 2)/100 = Rs. 4,000
The total amount the person is to pay bank to the bank = P + I = Rs. 16,000 + Rs. 4,000 = Rs. 20,000
The parameters of the amount lent to the shopkeeper are;
The amount lent, P = Rs. 16,000
The compound interest rate of the amount lent, R = 12.5%
The number of years, T = 2 years
The amount he receives from the shopkeeper after 2 years, A = P·(1 + R/n)^(n × T) = Rs. 16,000 × (1 + 0.125/1)^(1 × 2) = Rs. 20,250
The amount he gains in 2 years = The amount he receives from the shop keeper - The amount he gives to the bank = Rs. 20,250 - Rs. 20,000 = Rs. 250
The amount he gains in 2 years = Rs. 250.
Two angles are complementary. The smaller angle is less than the larger angle. What is the measure of the larger angle
need some help...........
Answer:
The answer is to the question is 13
Can you answer this?
27
5
Y=5x+27
Here ya go
If a car is traveling 75 miles per hour, how many feet will it travel in 10 seconds?
Answer:
Step-by-step explanation:
speed=75 miles per hour
[tex]speed=\frac{75 \times 1760 \times 3 }{3600 } =110 ~ft~/ ~s[/tex]
distance covered in 10 seconds=110×10=1100 ft
Answer:
We will use this equation to solve this question: Distance = Speed/Time
Distance = 75 x 5280
3600
We are multiplying 75 by 5280 because we want to convert miles to feet. Then, we divide it by 3600, which is equivalent to an hour.
Distance = 396,000
3600
= 110 Feet
Therefore, the car will travel 110 feet in 10 seconds.
which angle relationship would you use to
prove that x = 20
Answer:
Supplementary Angles add up to 180°
Step-by-step explanation:
(2x + 5) + (8x - 25) = 180
10x -20 = 180
10x = 200
x = 20
If p : q = 1/3 : 2 and p : r = 3/4 : 1/2,
calculate the ratio
p:q:r
Giving your answer in its simplest form.
Answer:
p : q : r = 2 : 12 : 3
Step-by-step explanation:
p : q = 1/3 : 2
p : q = 1/3 ÷ 2
p : q = 1/3 × 1/2
p : q = 1/6
p : q = 1:6 -----------(a)
p : r = 1/2 : 3/4
p : r = 1/2 : 3/4
p : r = 1/2 × 4/3
p : r = 2/3
p : r = 2 : 3 -----------(b)
For p in equation (a) to be the same as equation (b) so, multiply equation (a) by 2 and multiply equation (b) by 1
p : q = 1 × 2 : 6 × 2
p : q = 2 : 12
p : r = 2 × 1 : 3 × 1
p : r = 2 : 3
p = 2 : , q = 12 , r = 3
Hope it help
p : q : r = 2 : 12 : 3
Make D the subject of S =D/T
Step-by-step explanation:
S = D/T
D = ST
S comes first in the English Alphabet so it is ST
Answer:
D=ST
Step-by-step explanation:
..........D=ST...
A snail can move about 10 meters in 1000 seconds. How many seconds does it take the snail to move 1 meter
Answer:
100 seconds my dude
Step-by-step explanation:
...............
Answer:
100
Step-by-step explanation:
The principal amount, $4200, earns 3.6% interest compounded monthly.
a. Write the function that represents the value of the account at any time, t.
b. What will the value be after 10 years?
Answer:
a)
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
b)
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
Step-by-step explanation:
a. Write the function that represents the value of the account at any time, t.
The function that represents the value of the account at any time, t
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
where
P represents the principal amount
r represents Annual Rate
n represents the number of compounding periods per unit t, at the end of each period
t represents the time Involve
b) What will the value be after 10 years?
Given
The principal amount P = $4200
Annual Rate r = 3.6% = 3.6/100 = 0.036
Compounded monthly = n = 12
Time Period = t
To Determine:
The total amount A = ?
Using the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
substituting the values
[tex]A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}[/tex]
[tex]\:A\:=\:4200\left(1.0025\right)^{120}[/tex]
[tex]A=5667.28[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
Simplify the following expression.
6m-54 divided by 9-m
Answer:
− 6
Step-by-step explanation:
Which is not a solution of the inequality to -8x < 32
A.−1/2
B.1
C.0
D.−4
12) Why doesn't SSA prove two triangles are congruent? *
PLEASE HELP!
ROAD SIGNS Roadway signs such as the one shown are used to warn drivers of an upcoming steep down grade. What is the grade, or slope, of the hill described on the sign?
Answer:
[tex]\frac{2}{25}[/tex]
Step-by-step explanation:
8% = 0.08 = [tex]\frac{2}{25}[/tex]
Find the value of x
17x - 18
7x
Consider the given equation is [tex]17x-18=7x[/tex].
Given:
[tex]17x-18=7x[/tex]
To find:
The value of x.
Solution:
We have,
[tex]17x-18=7x[/tex]
Adding 18 on both sides.
[tex]17x=7x+18[/tex]
Subtracting 7x from both sides.
[tex]17x-7x=7x+18-7x[/tex]
[tex]10x=18[/tex]
Divide both sides by 10.
[tex]x=\dfrac{18}{10}[/tex]
[tex]x=1.8[/tex]
Therefore, the value of x is 1.8.
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = √47
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We have a right triangle. We can use PT to solve for the missing side length.
Step 2: Identify Variables
Leg a = 5
Leg b = x
Hypotenuse c = √72
Step 3: Solve for x
Substitute [PT]: 5² + x² = (√72)²Exponents: 25 + x² = 72Isolate x term: x² = 47Isolate x: x = √47need help asap please
The angle BCD = 120°
Further explanationGiven
A parallelogram and four angles
Required
Angle BCD
Solution
In A parallelogram
The sum of the four angles is 360°
Opposite angles are equal /congruent(A=C, B=D)
Consecutive angles are supplementary (A + D = 180 °, D + C = 180°, C + B = 180°, B + A = 180°).
We choose a solution by using
Consecutive angles :
∠C+∠B=180°
18x=180°
x=10
∠C=∠BCD =
[tex]\tt 12x=12\times 10=120^o[/tex]
Or we can use another ways :
The sum of the four angles is 360°
∠A+∠B+∠C+∠D=360°
12x+6x+12x+6x=360°
36x=360°
x=10
∠C=∠BCD =
[tex]\tt 12x=12\times 10=120^o[/tex]
Together Cam and Brian had 24 pair of jeans. Cam had 4 less the Brian. Which inequality of equation could be used to find the number of jeans that Brian had?
Answer:
Brian had 4 jeans
Step-by-step explanation:
Together Cam and Brian had 24 pair of jeans. Cam had 4 less the Brian. Which inequality of equation could be used to find the number of jeans that Brian had?
Let the number of jeans
Cam had = x
Brian had = y
Hence: x + y= 24 Jeans
Cam had 4 less the Brian.
= x = y - 4
Hence:
x > y
The number of jeans Brian had is calculated as:
x + y= 24
y - 4 + y= 24
2y = 24+ 4
2y = 28
y = 28/2
y = 14 jeans
The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6), what are the coordinates of B?
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ co-ordinate\ of \ B \ is \ ( -1, -8) }}}[/tex]
Step-by-step explanation:Given that, The midpoint of overline AB is M(-4, -7). If the coordinates of A are (−7,−6). And we need to find the coordinates of B. We know Midpoint formula is :-
[tex]\large\boxed{\red{\bf Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) }}[/tex]
Let the co ordinates of B be (x , y ) .
Now , on substituting the respective values ,we have :-
[tex]\bf\implies Midpoint = \bigg( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2}\bigg) \\\\\bf \implies (-4,-7) = \bigg( \dfrac{x -7}{2} , \dfrac{y-6}{2}\bigg) \\\\\bf \implies \dfrac{x -7}{2} = (-4) \\\\\bf \implies x - 7 = -8 \\\\\bf\implies x = -8+7 \\\\\boxed{\red{\bf \implies x = (-1) }}[/tex]
[tex]\implies \bf \dfrac{y-6}{2} = -7 \\\\\bf\implies y-6=-14 \\\\\bf\implies y = 6 - 14 \\\\\boxed{\red{\bf\implies y = -8}}[/tex]
Hence the value of x coordinate is (-1) and y - coordinate is (-8) .
Hence the coordinate of B is (-1,-8)If temperature is 4 degrees and falls by 6 degrees, what is the new temperature?
Answer:
-2 degrees
Step-by-step explanation:
4-6=-2
so its -2 degrees.
Hope this helps :D
Answer:
-2
Step-by-step explanation:
If they temperature falling is greater than the present temperature, you will have to go into negatives. 4 - 4 = 0 - (remainder 2) is -2.
a number is five less than 3 time another number use x for the variable HURRY
Answer:
10, it's 5 less than 5 times 3
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider this system of equations.
The points representing the solution set of this system of equations are
and
.
Answer:
(-2, -1) and (3, 14)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y=x^2+2x-1\\y-3x=5&\text{add}\ 3x\ \text{to both sides}\end{array}\right\\\left\{\begin{array}{ccc}y=x^2+2x-1&(1)\\y=3x+5&(2)\end{array}\right[/tex]
Substitute (1) to (2):
[tex]x^2+2x-1=3x+5\qquad|\text{subtract}\ 3x\ \text{and 5 from both sides}\\\\x^2-x-6=0\\\\x^2+2x-3x-6=\\\\x(x+2)-3(x+2)=0\\\\(x+2)(x-3)=0\iff x+2=0\ \vee\ x-3=0\\\\x=-2\ \vee\ x=3[/tex]
Substitute the values of x to the (2):
[tex]\text{for}\ x=-2\\\\y=3(-2)+5=-6+5=-1\\\\\text{for}\ x=3\\\\y=3(3)+5=9+5=14[/tex]
James bought 4 tubes of paint to use for an art project. He paid the same amount for each tube, and he spent less than $20 in all.
Let x represent the cost of each tube of paint. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Each tube of paint cost less than $
.
Step-by-step explanation:
total number of tubes=4
total spent=<$20
4(x)<$20
x<$20/4
x<$5
The inequality represented is 4x < 20 and the cost of one tube will be less than $5.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given,
The cost of one tube = x
Cost of 4 tubes = 4x
Cost < $20
4x < 20
x < $5
Hence "The inequality represented is 4x < 20 and the cost of one tube will be less than $5.".
For more about inequality,
brainly.com/question/20383699
#SPJ2
For each line, determine whether the slope is positive, negative, zero, or undefined.
Please check the attached screenshot! its deltamath! i need it asap! Im in algebra 2.
Answer:
Step-by-step explanation:
B is the answer
Ok so basically I gonna learn something that is abt point so kk?? Alr so basically if you want people to answer u question mostly the new put at least 15 or more points invested caused u shoulda grinded with meme was and trolling kids for points and that exactly why im saying because I want points and so do other people because I put a question with 5 points, waited an hour nobody respond, then 50 and everyone was refreshing my profile like crazy they said (on my banned acc) saying OMG NOO I WAS SO CLOSE PLS DO ANOTHER and others like OMG NO WAY FREE POINTS THIS ALMOST NEVER HAPPENS And more stuff so yeah no hate no offense no hate no offense no hate no offense no offense no offense no offense but I need more point and and so do other people that try to ask questions And answer, pls be nice and give to people that struggling ok if not, ur a greedy noob.
25% of 96 is what number round to the nearest tenth of necessary
Answer:
y = .25 x 96
y = 24
This is the answer.
Step-by-step explanation:
25% is the same as 0.25
25% = 25/100 = 0.25
Multiply 0.25 with 96
0.25 x 96 = 24
24 is your answer
hope this helps
OPEN ENDED QUESTION -6(7)
Answer:
-42
Step-by-step explanation:
reason: because on the left we have negative six and on the right we have positive 7, so what is the equation? well it would be -6 x 7 because if a number is in these () it means you multiply
Henry made himself a sandwich that was StartFraction 11 Over 12 EndFraction of a foot long. He put pepperoni on Three-fourths of his sandwich. What length of the sandwich did not have pepperoni on it?
Answer:
[tex]\bold{\dfrac{11}{48}\ ft}[/tex]
Step-by-step explanation:
Given that:
Length of sandwich = [tex]\frac{11}{12}[/tex] of a foot = [tex]\frac{11}{12}[/tex] ft
Portion of sandwich on which there is pepperoni = [tex]\frac{3}{4}[/tex] of the total length of sandwich
Portion of sandwich on which there is pepperoni = [tex]\frac{3}{4}[/tex] [tex]\times \frac{11}{12}[/tex] ft
To find:
The length of sandwich which does not have the pepperoni on it?
Solution:
First of all, let us find the length which has the pepperoni on it.
Length of sandwich on which there is pepperoni = [tex]\frac{3}{4}[/tex] [tex]\times \frac{11}{12}[/tex] ft = [tex]\frac{33}{48}[/tex] ft
Length of sandwich on which there is no pepperoni can be found by subtracting the length on which there is pepperoni from the total length of sandwich.
Therefore, the answer is:
[tex]\dfrac{11}{12} - \dfrac{33}{48} = \dfrac{44-33}{48} = \bold{\dfrac{11}{48}\ ft}[/tex]
Answer:
11/48
Step-by-step explanation:
i did this in 6th grade 6 years ago
Maya flipped a coin 50 times. How many times should she expect the coin to land on tails?
Answer: It's a 50% chance (25 times)
Reason: It's Statically proven that if there are two things you are comparing, and are trying to flip (Like a coin) There's a fifty percent chance of flipping to that side. Thus having this information, you will land on tails 25 times statically.
I hope this helps, and Happy Holidays! :)
factor 8x+48y using gcf
The greatest common factor of the expression will be 8( x + 6y).
What is the greatest common factor?The largest factor of the two numbers which divides both numbers is called as greatest common factor or GCF. In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero.
The given expression is 8x+48y. The greatest common factor will be calculated as,
E = 8x+48y
E = 8(x +6y)
Therefore, the greatest common factor of the expression will be 8( x + 6y).
To know more about GCF follow
https://brainly.com/question/219464
#SPJ3
6(3x +5 ) = 7(2x +2)
Answer:
I answered ur question answer is x=-4