Answer:
A= ₹3,112.72
CI = ₹1,112.72
Step-by-step explanation:
Here P = ₹ 12000
Since, interest is compounded half yearly.
Therefore, R = 6/2 = 3%
n = 3/2* 2 = 3 half years
[tex] \because A= P\bigg(1+\frac{R}{100}\bigg)^n [/tex]
[tex] \therefore A= 12000\times \bigg(1+\frac{3}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(\frac{100+3}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(\frac{103}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(1.03\bigg)^3 [/tex]
[tex] \therefore A= 12000\times 1.092727 [/tex]
[tex] \therefore A= 13,112.724 [/tex]
[tex] \therefore A=Rs. \:13,112.72 [/tex]
CI = A - P
CI = 13,112.72 - 12000
CI = ₹1,112.72
pls help how do u do this???
Answer:
well well well
Step-by-step explanation:
free points
17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)
pls help thank you<3
Answer:
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Step-by-step explanation:
Given
VA; [tex]x = 2[/tex]
SLA: [tex]y = 5x - 1[/tex]
Zero of function: [tex](-1,0)[/tex]
Required
Determine the rational function in expanded form
Analyzing the vertical asymptote
The vertical asymptote is given as:
[tex]x = 2[/tex]
Subtract 2 from both sides
[tex]x - 2 = 2 - 2[/tex]
[tex]x - 2 = 0[/tex]
This means that the denominator must be [tex]x - 2[/tex]
Analyzing the zero of the function
The zero of the function is given as: [tex](-1,0)[/tex]
This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]
Equate [tex]x = -1[/tex] to 0 by add 1 to both sides
[tex]x + 1 =- 1 + 1[/tex]
[tex]x + 1 =0[/tex]
This means that one of the numerators must be [tex]x + 1[/tex]
Analyzing the slant asymptote:
[tex]y = 5x - 1[/tex]
This means that one of the numerators must be [tex]5x - 1[/tex]
Hence, the function is:
[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]
Expand the numerator
[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Help ASAP. Solve both
Step-by-step explanation:
question 15
For y to be parallel to z the sum of given angles must be equal to 180°
3x + 7 + 10x - 22 = 180° add like terms
13x - 15 = 180 add 15 to both sides
13x = 195 divide both sides by 13
x = 15
question 16
If y is parallel to z then the given angles are alternate exterior and has same measurement
11x - 3 = 4x + 39
11x - 4x = 39 + 3
7x = 42 divide both sides by 7
x = 6
Choose the congruence theorem that you would use to prove the triangles congruent.
SSS
SAS
ASA
AAS
Answer:
ASA
Step-by-step explanation:
factor with distributive property (no variables) 55 + 35
55 + 35 Factorized ↓
5(11 + 7)
I hope this helps u
God bless
Answer
5(11+7)
1. Find the greatest common factor of 55 and 35.
The greatest common factor of 55 and 35 is 5.
2. Divide each number (in the expression) by the common factor
55/5=11
35/5=7
3. Write the factorized expression
So you multiply 5 times 11 and 5 times 7.
So when distributing, you would multiply the number outside of the parentheses by each of the numbers in the parentheses.
The number outside is 5 and the numbers inside are 11 and 7.
So the expression is 5(11+7)
5*11=55
5*7=35
4. Check to see if you get the same answer (optional)
55+35=90
5(11+7)=5(18)=90
A grocery store sells a bag 7 oranges for $2.66. if alexandra spent $3.42 on oranges how many did she buy
Answer:
9 oranges
Step-by-step explanation:
7 for 2.66 is 38c for 1
Step-by-step explanation:
if 7 gives 2.66
so 3.42×7÷2.66 gives 9 orange
AJKL-AXYZ. Find the scale factor from AJKL to AXYZ.
20
x
10]
8
16
2 10 y
L
20_k
2/1
172
524
4
/
5ܐ
Answer:
1/2
Step-by-step explanation:
Since you are going from the biggest to smallest, it would be 1/2. If you are going from the smallest to biggest it would be 2. So the answer is 1/2. :)
Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28
Answer:
b. 14
Step-by-step explanation:
What is the area of a rectangle with vertices
(-1,-4), (-1,6), (3, 6), and (3,-4)?
16 square units
24 square units
36 square units
40 square units
Answer:
40squared units!
I hope it will be useful.
Answer: 40 square units
Step-by-step explanation:
I took the assignment
What is the percent of change of 25 when decreased to 18?
Answer:
your answer is that it decreases to 7%
Answer:
28% decrease
Step-by-step explanation:
(18−25)|25|×100
=−725×100
=−0.28×100
=−28%change
=28%decrease
$15.50 is 30% of what amount of money?
Answer:
$51.67
Step-by-step explanation:
Hope this helps! :3
plz mark as brainliest!
8 t-shirts and a hat costs £42.00
3 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost
Answer:
a T-shirt costs £5
a hat costs £2
Step-by-step explanation:
Suppose
A T-shirt=x
A Hat=y
So the equation is
8x+y=42
3x+y=17
So
8x+y=42
3x+y=17
------------
5x=25
x=5
So a T-shirt costs £5
3.5+y=17
15+y=17
y=2
So a hat costs £2
Answer:
t-shirt: £5
hat: £2
Step-by-step explanation:
Please see the attached picture for the full solution.
A 190 inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece
Answer:
63.33333333333
Step-by-step explanation:
On Monday and Tuesday the lake received 18.45 inches of water. If it received 7.85 inches on Monday, how much did it receive on Tuesday?
Answer:
10.60 inches
Step-by-step explanation:
18.45
-7.85
_____
10.60 inches
The surface area of a sphere is 196 π . Its radius is
Answer:
The radius of the sphere is 7 units
Step-by-step explanation:
Surface Area
Given a sphere of a radius (r), the surface area is given by the formula:
[tex]\displaystyle A=4\pi r^2[/tex]
If the surface area is given, we can solve for r:
[tex]\displaystyle r=\sqrt{\frac{A }{4\pi }}[/tex]
The surface area of a sphere is given A=196π.
Calculating the radius:
[tex]\displaystyle r=\sqrt{\frac{196\pi}{4\pi }}[/tex]
[tex]\displaystyle r=\sqrt{49}[/tex]
r = 7 units
The radius of the sphere is 7 units
Determine whether each equation is True or False. In case you find a "False" equation, explain why is False.
Answer:
(1) TRUE.
(2) FALSE.
(3) FALSE.
(4) TRUE.
(5) FALSE.
Step-by-step explanation:
(1) [tex]\sqrt{32} = 2^{\frac{5}{2} }[/tex]
[tex]2^{\frac{5}{2} } = (\sqrt{2} )^5 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 4\sqrt{2}\\\\\sqrt{32} = \sqrt{16 \ \times \ 2}\ = \ \sqrt{16} \ \times \ \sqrt{2} \ = \ 4\sqrt{2}[/tex]
Thus, the equation is TRUE.
(2) [tex]16^{\frac{3}{8} } = 8^2[/tex]
[tex]16^{\frac{3}{8} } =(2^4)^{\frac{3}{8} } = 2^\frac{3}{2} }= (\sqrt{2} )^3 = (\sqrt{2} \ \times \ \sqrt{2} \ \times \ \sqrt{2}) = 2\sqrt{2} \\\\8^2 = 64[/tex]
Thus, the equation is FALSE.
(3) [tex]4^{\frac{1}{2} } = \sqrt[4]{64}[/tex]
[tex]4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}[/tex]
Thus, the equation is FALSE.
(4) [tex]2^8 = (\sqrt[3]{16} )^6[/tex]
[tex]2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256[/tex]
Thus, the equation is TRUE.
(5) [tex](\sqrt{64} )^{\frac{1}{3} } = 8^{\frac{1}{6} }\\\\[/tex]
[tex]8^{\frac{1}{6} } = (2^3)^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} } = \sqrt{2} \\\\(\sqrt{64} )^{\frac{1}{3} } = (2^6)^{\frac{1}{3} } = 2^{\frac{6}{3} } = 2^2 = 4[/tex]
Thus, the equation is FALSE.
What is the formula of circumference of a
circle?
The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.
The formula is C=2πr
Solve: -1/2x +2=-x+7
Answer:
x = 10
Step-by-step explanation:
-1/2x + 2 = -x + 7
multiply by 2 so that -1/2x becomes -x
(-1/2x + 2 = -x + 7)2
-x + 4 = -2x + 14
subtract 4 from both sides
-x = -2x + 10
add -2x to both sides
x = 10
im board !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
same
Step-by-step explanation:
Answer:
same
Step-by-step explanation: same free coins ;)
Melissa will choose between two restaurants to purchase pizzas for a party. The first restaurant charges a delivery fee of $6 for the entire purchase and $12 per pizza. The second restaurant has no delivery fee and charges $14 perr pizza. Let x be the number of pizzas purchased.
Answer:
I will try to described the smallness to the best of my ability. take two chairs - face them to each other - put a 12" square table between them leave enough room to open a 24" door and you have ...
Step-by-step explanation:
Rectangle A'B'C'D' is a translation of rectangle ABCD . Table of vertices is shown below . Find the coordinates of points B and D' .
Answer:
B(2,10)
D'(4,-1)
Step-by-step explanation:
ok to find this we need to know what the translation is
from (2,2) to (-4,-1)
subtract 6 from x and subtract 3 from y
im gonna chak another just in case
3rd one
(10,10) to (4,7)
same rule
so for the second one they give us (-4,7)
to get this we subtracted 6 from x and 3 from y from original so
lets work backwards
add 6 from x and add 3 from y
(-4,7)+(6,3)
answer(2,10)
now D'
subtract 6 from x and 3 from y
(10,2)-(6,3)
(4,-1)
What is the interest you will pay if you borrowed $550 at 8% interest for 3 years?
Answer:
132
Step-by-step explanation:
it is
Simple interest is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
The interest that will be paid after 3 years with 8% interest is $132.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The formula for simple interest is given as,
SI = (P x R x T) / 100
P = Principal
R = rate
T = time in years
We have,
P = $550
R = 8%
T = 3 years
SI = (P x R x T) / 100
SI = (550 x 8 x 3) / 100
SI = $132
Thus,
The interest that will be paid after 3 years with 8% interest is $132.
Learn more about simple interests here:
https://brainly.com/question/25845758
#SPJ2
Split 36 into the ratio 1:2
Answer:
12 : 24
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 = 3 parts
Divide 36 by 3 to find the value of one part of the ratio.
36 ÷ 3 = 12 ← value of 1 part of the ratio , thus
2 parts = 2 × 12 = 24
Thus
36 in the ratio 1 : 2 is 12 : 24
Exercise 21
Let x represents a length in cm where x > 1.5.
AB = 2x - 3, BC = 4x – 6,
AD = 2x + 3 and BE = 4x +1
• ABC is right triangle of area Si.
. CBFG is a rectangle of area S2.
. ADEB is a right trapezoid of area S3.
1) Express S1 and S2 and S3 in terms of x
Plzzz I need help
Answer:
see explanation
Step-by-step explanation:
area of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4x - 6 and h = 2x - 3 , then
A = [tex]\frac{1}{2}[/tex] (4x - 6)(2x - 3) ← expand using FOIL
= [tex]\frac{1}{2}[/tex](8x² - 24x + 18) ← distribute
= 4x² - 12x + 9
----------------------------------------------------------
Area of rectangle CBFG is calculated as
A = lb ( l is length, b is breadth )
Here l = 4x - 6 and b = 3x - 2, then
A = (4x - 6)(3x - 2) ← expand using FOIL
= 12x² - 26x + 12
----------------------------------------------------------
Area of trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the height and b₁, b₂ the parallel bases
Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then
A = [tex]\frac{1}{2}[/tex] (2x - 3)(4x + 1 + 2x + 3)
= [tex]\frac{1}{2}[/tex] (2x - 3)(6x + 4) ← expand using FOIL
= [tex]\frac{1}{2}[/tex] (12x² - 10x - 12) ← distribute
= 6x² - 5x - 6
Help, please. My assignment is past due so pls hurry.
Answer:
X=8
Step-by-step explanation:
46+9x-8=14x-2
46-8+2=14x-9x
40=5x
8=x
Answer:
x=8
Step-by-step explanation:
Hope this helped have an amazing day!
Round 347−−−√ to the nearest hundredth.
Answer:300
Step-by-step explanation:
One less than 6 times a number is the same as the number plus 14.
find the equation
x=
please help!!!!
algebra 2
Answer:
domain: x<2 or x>2
x-intercepts: (3/2, 0), (-3/2, 0)
how do you work out the percentage increase
Suman sells a house and receives Rs. 14,25,000 after giving 5%
commission. What is the price of his house?
Step-by-step explanation:
selling p= X(let)
commission=5%
here commission amount= X*5/100